a The Language of Science and the Tower of Babel By decisions-and-info-gaps.blogspot.com Published On :: Mon, 31 Oct 2011 06:23:00 +0000 And God said: Behold one people with one language for them all ... and now nothing that they venture will be kept from them. ... [And] there God mixed up the language of all the land. (Genesis, 11:6-9)"Philosophy is written in this grand book the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and to read the alphabet in which it is composed. It is written in the language of mathematics." Galileo GalileiLanguage is power over the unknown. Mathematics is the language of science, and computation is the modern voice in which this language is spoken. Scientists and engineers explore the book of nature with computer simulations of swirling galaxies and colliding atoms, crashing cars and wind-swept buildings. The wonders of nature and the powers of technological innovation are displayed on computer screens, "continually open to our gaze." The language of science empowers us to dispel confusion and uncertainty, but only with great effort do we change the babble of sounds and symbols into useful, meaningful and reliable communication. How we do that depends on the type of uncertainty against which the language struggles.Mathematical equations encode our understanding of nature, and Galileo exhorts us to learn this code. One challenge here is that a single equation represents an infinity of situations. For instance, the equation describing a flowing liquid captures water gushing from a pipe, blood coursing in our veins, and a droplet splashing from a puddle. Gazing at the equation is not at all like gazing at the droplet. Understanding grows by exposure to pictures and examples. Computations provide numerical examples of equations that can be realized as pictures. Computations can simulate nature, allowing us to explore at our leisure.Two questions face the user of computations: Are we calculating the correct equations? Are we calculating the equations correctly? The first question expresses the scientist's ignorance - or at least uncertainty - about how the world works. The second question reflects the programmer's ignorance or uncertainty about the faithfulness of the computer program to the equations. Both questions deal with the fidelity between two entities. However, the entities involved are very different and the uncertainties are very different as well.The scientist's uncertainty is reduced by the ingenuity of the experimenter. Equations make predictions that can be tested by experiment. For instance, Galileo predicted that small and large balls will fall at the same rate, as he is reported to have tested from the tower of Pisa. Equations are rejected or modified when their predictions don't match the experimenter's observation. The scientist's uncertainty and ignorance are whittled away by testing equations against observation of the real world. Experiments may be extraordinarily subtle or difficult or costly because nature's unknown is so endlessly rich in possibilities. Nonetheless, observation of nature remorselessly cuts false equations from the body of scientific doctrine. God speaks through nature, as it were, and "the Eternal of Israel does not deceive or console." (1 Samuel, 15:29). When this observational cutting and chopping is (temporarily) halted, the remaining equations are said to be "validated" (but they remain on the chopping block for further testing).The programmer's life is, in one sense, more difficult than the experimenter's. Imagine a huge computer program containing millions of lines of code, the accumulated fruit of thousands of hours of effort by many people. How do we verify that this computation faithfully reflects the equations that have ostensibly been programmed? Of course they've been checked again and again for typos or logical faults or syntactic errors. Very clever methods are available for code verification. Nonetheless, programmers are only human, and some infidelity may slip through. What remorseless knife does the programmer have with which to verify that the equations are correctly calculated? Testing computation against observation does not allow us to distinguish between errors in the equations, errors in the program, and compensatory errors in both.The experimenter compares an equation's prediction against an observation of nature. Like the experimenter, the programmer compares the computation against something. However, for the programmer, the sharp knife of nature is not available. In special cases the programmer can compare against a known answer. More frequently the programmer must compare against other computations which have already been verified (by some earlier comparison). The verification of a computation - as distinct from the validation of an equation - can only use other high-level human-made results. The programmer's comparisons can only be traced back to other comparisons. It is true that the experimenter's tests are intermediated by human artifacts like calipers or cyclotrons. Nonetheless, bedrock for the experimenter is the "reality out there". The experimenter's tests can be traced back to observations of elementary real events. The programmer does not have that recourse. One might say that God speaks to the experimenter through nature, but the programmer has no such Voice upon which to rely.The tower built of old would have reached the heavens because of the power of language. That tower was never completed because God turned talk into babble and dispersed the people across the land. Scholars have argued whether the story prescribes a moral norm, or simply describes the way things are, but the power of language has never been disputed.The tower was never completed, just as science, it seems, has a long way to go. Genius, said Edison, is 1 percent inspiration and 99 percent perspiration. A good part of the sweat comes from getting the language right, whether mathematical equations or computer programs.Part of the challenge is finding order in nature's bubbling variety. Each equation captures a glimpse of that order, adding one block to the structure of science. Furthermore, equations must be validated, which is only a stop-gap. All blocks crumble eventually, and all equations are fallible and likely to be falsified.Another challenge in science and engineering is grasping the myriad implications that are distilled into an equation. An equation compresses and summarizes, while computer simulations go the other way, restoring detail and specificity. The fidelity of a simulation to the equation is usually verified by comparing against other simulations. This is like the dictionary paradox: using words to define words.It is by inventing and exploiting symbols that humans have constructed an orderly world out of the confusing tumult of experience. With symbols, like with blocks in the tower, the sky is the limit. Full Article
a Can We Replay History? By decisions-and-info-gaps.blogspot.com Published On :: Thu, 10 Nov 2011 07:15:00 +0000 After the kids' party games and the birthday cake came the action-packed Steve McQueen movie. My friend's parents had rented a movie projector. They hooked up the reel and let it roll. But the high point came later when they ran the movie backwards. Bullets streamed back into guns, blows were retracted and fallen protagonists recoiled into action. The mechanism that pulls the celluloid film forward for normal showing, can pull the film in the reverse direction, rolling it back onto the feeder reel and showing the movie in reverse.If you chuck a round pebble off a cliff it will fall in a graceful parabolic arch, gradually increasing its speed until it hits the ground. The same pebble, if shot from the point of impact, at the terminating angle and speed, will gracefully and obligingly retrace its path. (I'm ignoring wind and air friction that make things a bit more complicated.)Deterministic mechanisms, like the movie reel mechanism or the law of gravity, are reversible.History is different. Peoples' behavior is influenced by what they know. You pack an umbrella on a trip to the UK. Google develops search algorithms not search parties because their knowledge base is information technology not mountain trekking. Knowledge is powerful because it enables rational behavior: matching actions to goals. Knowledge transforms futile fumbling into intelligent behavior.Knowledge underlies intelligent behavior, but knowledge is continually expanding. We discover new facts and relationships. We discover that things have changed. Therefore tomorrow's knowledge-based behavior will, to some extent, be unpredictable today because tomorrow's discoveries cannot be known today. Human behavior has an inherent element of indeterminism. Intelligent learning behavior cannot be completely predicted.Personal and collective history does not unfold like a pre-woven rug. Human history is fundamentally different from the trajectory of a pebble tossed from a cliff. History is the process of uncovering the unknown and responding to this new knowledge. The existence of the unknown creates the possibility of free will. The discovery of new knowledge introduces indeterminism and irreversibility into history, as explained by the philosophers G.L.S. Shackle and Karl Popper.Nonetheless history is not erratic because each increment of new knowledge adds to the store of what was learned before. Memory is not perfect, either of individuals or groups, but it is powerful. History happens in historical context. For instance, one cannot understand the recent revolutions and upheavals in the Arab world from the perspective of 18th century European revolutions; the historical backgrounds are too different, and the outcomes in the Middle East will be different as well. Innovation, even revolution, is spurred by new knowledge laid over the old. A female municipal official slapped a Tunisian street vendor, Mohamed Bouazizi. That slap crystalized Mr Bouazizi's knowledge of his helpless social impotence and lit the match with which he immolated himself and initiated conflagrations around the Mideast. New knowledge acts like thruster engines on the inertial body of memory. What is emerging in the Mideast is Middle Eastern, not European. What is emerging is the result of new knowledge: of the power of networking, of the mortality of dictators, of the limits of coercion, of the power of new knowledge itself and the possibilities embedded in tomorrow's unknowns.Mistakes are made, even with the best intentions and the best possible knowledge. Even if analysts knew and understood all the actions of all actors on the stage of history, they still cannot know what those people will learn tomorrow and how that new knowledge will alter their behavior. Mistakes are made because history does not unwind like a celluloid reel.That's not to say that analysts are never ignorant, negligent, stupid or malicious. It's to say that all actions are, in a sense, mistakes. Or, the biggest mistake of all is to think that we can know the full import of our actions. We cannot, because actions are tossed, like pebbles, into the dark pit of unknown possible futures. One cannot know all possible echoes, or whether some echo might be glass-shatteringly cataclysmic.Mistakes can sometimes be corrected, but never undone. History cannot be run backwards, and you never get a second chance. Conversely, every instant is a new opportunity because the future is always uncertain. Uncertainty is the freedom to err, and the opportunity to create and discover. Full Article
a Fog of War By decisions-and-info-gaps.blogspot.com Published On :: Tue, 29 Nov 2011 07:01:00 +0000 "War is the realm of uncertainty;three quarters of the factors on which action in war is based are wrapped in a fog of greater or lesser uncertainty."Carl von Clausewitz, On WarWhat makes a great general?Hannibal changed Carthaginian strategy from naval to land warfare, and beat the Romans in nearly every encounter. Julius Caesar commanded the undying loyalty of his officers and soldiers. Napoleon Bonaparte invented the modern concept of total war with a citizen army. Was their genius in strategy, or tactics, or logistics, or charisma? Or was it crude luck? Or was it the exploitation of uncertainty?War is profoundly influenced by technology, social organization, human psychology and political goals. Success in war requires understanding and control of these factors. War consumes vast human and material resources and demands "genius, improvisation, and energy of mind" as Winston Churchill said. And yet, Clausewitz writes: "No other human activity is so continuously or universally bound up with chance."Why? What does this imply about the successful military commander? What does it mean for human endeavor and history in general?Clausewitz uses the terms "chance" and "uncertainty", sometimes interchangeably, to refer to two different concepts. An event occurs by chance if it is unexpected, or its origin is unknown, or its impact is surprising. Adverse chance events provoke "uncertainty, the psychological state of discomfort from confusion or lack of information" (Katherine Herbig, reference below).Chance and uncertainty are dangerous because they subvert plans and diminish capabilities. Soldiers have been aware of both the dangers and the advantages of surprise since they first battered each other with sticks. Conventional military theorists aimed to avoid or ameliorate chance events by careful planning, military intelligence, training and discipline, communication, command and control. Clausewitz also recognized that steadfast faithfulness to mission and determination against adversity are essential in overcoming chance events and the debilitating effect of uncertainty. But "Clausewitz dismisses as worse than useless efforts to systematize warfare with rules and formulas. Such systems are falsely comforting, he says, because they reduce the imponderables of war to a few meagre certainties about minor matters" (Herbig). Clausewitz' most original contribution was in building a systematic theory of war in which the unavoidability of chance, and its opportunities, are central.Why is uncertainty (in the sense of lack of knowledge) unavoidable and fundamental in war? Clausewitz' answer is expressed in his metaphor of friction. As Herbig explains:"Friction is the decremental loss of effort and intention caused by human fallibility, compounded by danger and exhaustion. Like the mechanical phenomenon of friction that reduces the efficiency of machinery with moving parts, Clausewitz' friction reduces the efficiency of the war machine. It sums up all the little things that always go wrong to keep things from being done as easily and quickly as intended. ..."What makes friction more than a minor annoyance in war is its confounding with chance, which multiplies friction in random, unpredictable ways."War, like history, runs on the cumulative effect of myriad micro-events. Small failures are compounded because war is a coordinated effort of countless local but inter-dependent occurrences. Generals, like symphony conductors, choose the score and set the pace, but the orchestra plays the notes. A mis-tuned violin, or a drummer who mis-counts his entry, can ruin the show. Moses led the children of Israel out of Egypt, but he'd have looked pretty funny if they had scattered to the four winds. Moses' genius as a leader wasn't plied against Pharaoh (Moses had help there), but rather against endless bickering and revolt once they reached the desert.Uncertainty originates at the tactical rather than the strategic level. The general can't know countless local occurrences: a lost supply plane, failed equipment here, over-reaction there, or complacency someplace else. As an example, the New York Times reported on 27 November 2011:"The NATO air attack that killed at least two dozen Pakistani soldiers over the weekend reflected a fundamental truth about American-Pakistani relations when it comes to securing the unruly border with Afghanistan: the tactics of war can easily undercut the broader strategy that leaders of both countries say they share."The murky details complicated matters even more, with Pakistani officials saying the attack on two Pakistani border posts was unprovoked and Afghan officials asserting that Afghan and American commandos called in airstrikes after coming under fire from Pakistani territory."Central control is critical, but also profoundly limited by the micro-event texture of history.Conversely, uncertainty can be exploited at the tactical level by flexible and creative response to random opportunities. The field commander has local knowledge that enables decisive initiative: the sleeping sentinel, the bridge not destroyed, the deserted town. The general's brilliance is in forging a war machine whose components both exploit uncertainty and are resilient to surprise.Uncertainty is central in history at large, like in war, because they both emerge from the churning of individual events. In democratic societies, legislatures pass laws and executive branches formulate and implement policies. But only active participation of the citizenry brings life and reality to laws and policies. Conversely, citizen resistance or even apathy dooms the best policies to failure. This explains the failure of democratic institutions that are imported precipitously to countries with incompatible social and political traditions. Governments formulate policy, but implementation occurs in the context of social attitudes and historical memory. You can elect legislatures and presidents but you can't elect the public. Non-centralized beliefs and actions also dominate the behavior of industrial economies. The actions of countless households, firms and investors can vitiate the best laid plans of monetary and fiscal authorities. All this adds up to Clausewitz' concept of friction: global uncertainty accumulating from countless local deviations.In peace, like in war, the successful response to uncertainty is to face it, grapple with it, exploit it, restrain it, but never hope to abolish it. Uncertainty is inevitable, and sometimes even propitious. The propensity for war is the ugliest attribute of our species. Nonetheless, what we learn about uncertainty from the study of war applies to all our endeavors: in business, in politics and beyond. Waging peace demands the same staunchness, determination and inventive flexibility in the face of the unknown, as the successful pursuit of war.Main source:Katherine L. Herbig, 1989, Chance and Uncertainty in On War, in Michael Handel, ed., Clausewitz and Modern Strategy, Frank Cass, London, pp.95-116.See also:Peter Paret, 1976, Clausewitz and the State: The Man, His Theories, and His Times, re-issued 2007, Princeton University Press. Full Article
a Picking a Theory is Like Building a Boat at Sea By decisions-and-info-gaps.blogspot.com Published On :: Sun, 11 Dec 2011 12:14:00 +0000 "We are like sailors who on the open sea must reconstruct their ship but are never able to start afresh from the bottom." Otto Neurath's analogy in the words of Willard V. QuineEngineers, economists, social planners, security strategists, and others base their plans and decisions on theories. They often argue long and hard over which theory to use. Is it ever right to use a theory that we know is empirically wrong, especially if a true (or truer) theory is available? Why is it so difficult to pick a theory?Let's consider two introductory examples.You are an engineer designing a robot. You must calculate the forces needed to achieve specified motions of the robotic arms. You can base these calculations on either of two theories. One theory assumes that an object comes to rest unless a force acts upon it. Let's call this axiom A. The other theory assumes that an object moves at constant speed unless a force acts upon it. Let's call this axiom G. Axiom A agrees with observation: Nothing moves continuously without the exertion of force; an object will come to rest unless you keep pushing it. Axiom G contradicts all observation; no experiment illustrates the perpetual motion postulated by the axiom. If all else is the same, which theory should you choose?Axiom A is Aristotle's law of inertia, which contributed little to the development of mechanical dynamics. Axiom G is Galileo's law of inertia: one of the most fruitful scientific ideas of all time. Why is an undemonstrable assertion - axiom G - a good starting point for a theory?Consider another example.You are an economist designing a market-based policy to induce firms to reduce pollution. You will use an economic theory to choose between policies. One theory assumes that firms face pure competition, meaning that no single firm can influence market prices. Another theory provides agent-based game-theoretic characterization of how firms interact (without colluding) by observing and responding to price behavior of other firms and of consumers.Pure competition is a stylized idealization (like axiom G). Game theory is much more realistic (like axiom A), but may obscure essential patterns in its massive detail. Which theory should you use?We will not address the question of how to choose a theory upon which to base a decision. We will focus on the question: why is theory selection so difficult? We will discuss four trade offs."Thanks to the negation sign, there are as many truths as falsehoods;we just can't always be sure which are which." Willard V. QuineThe tension between right and right. The number of possible theories is infinite, and sometimes it's hard to separate the wheat from the chaff, as suggested by the quote from Quine. As an example, I have a book called A Modern Guide to Macroeconomics: An Introduction to Competing Schools of Thought by Snowdon, Vane and Wynarczyk. It's a wonderful overview of about a dozen theories developed by leading economic scholars, many of them Nobel Prize Laureates. The theories are all fundamentally different. They use different axioms and concepts and they compete for adoption by economists. These theories have been studied and tested upside down and backwards. However, economic processes are very complex and variable, and the various theories succeed in different ways or in different situations, so the jury is still out. The choice of a theory is no simple matter because many different theories can all seem right in one way or another."The fox knows many things, but the hedgehog knows one big thing." ArchilochusThe fox-hedgehog tension. This aphorism by Archilochus metaphorically describes two types of theories (and two types of people). Fox-like theories are comprehensive and include all relevant aspects of the problem. Hedgehog-like theories, in contrast, skip the details and focus on essentials. Axiom A is fox-like because the complications of friction are acknowledged from the start. Axiom G is hedgehog-like because inertial resistance to change is acknowledged but the complications of friction are left for later. It is difficult to choose between these types of theories because it is difficult to balance comprehensiveness against essentialism. On the one hand, all relevant aspects of the problem should be considered. On the other hand, don't get bogged down in endless details. This fox-hedgehog tension can be managed by weighing the context, goals and implications of the decision. We won't expand on this idea since we're not considering how to choose a theory; we're only examining why it's a difficult choice. However, the idea of resolving this tension by goal-directed choice motivates the third tension."Beyond this island of meanings which in their own nature are true or falselies the ocean of meanings to which truth and falsity are irrelevant." John DeweyThe truth-meaning tension. Theories are collections of statements like axioms A and G in our first example. Statements carry meaning, and statements can be either true or false. Truth and meaning are different. For instance, "Archilochus was a Japanese belly dancer" has meaning, but is not true. The quote from Dewey expresses the idea that "meaning" is a broader description of statements than "truth". All true statements mean something, but not all meaningful statements are true. That does not imply, however, that all untrue meaningful statements are false, as we will see.We know the meanings of words and sentences from experience with language and life. A child learns the meanings of words - chair, mom, love, good, bad - by experience. Meanings are learned by pointing - this is a chair - and also by experiencing what it means to love or to be good or bad.Truth is a different concept. John Dewey wrote that"truths are but one class of meanings, namely, those in which a claim to verifiability by their consequences is an intrinsic part of their meaning. Beyond this island of meanings which in their own nature are true or false lies the ocean of meanings to which truth and falsity are irrelevant. We do not inquire whether Greek civilization was true or false, but we are immensely concerned to penetrate its meaning."A true statement, in Dewey's sense, is one that can be confirmed by experience. Many statements are meaningful, even important and useful, but neither true nor false in this experimental sense. Axiom G is an example.Our quest is to understand why the selection of a theory is difficult. Part of the challenge derives from the tension between meaning and truth. We select a theory for use in formulating and evaluating a plan or decision. The decision has implications: what would it mean to do this rather than that? Hence it is important that the meaning of the theory fit the context of the decision. Indeed, hedgehogs would say that getting the meaning and implication right is the essence of good decision making.But what if a relevantly meaningful theory is unprovable or even false? Should we use a theory that is meaningful but not verifiable by experience? Should we use a meaningful theory that is even wrong? This quandary is related to the fox-hedgehog tension because the fox's theory is so full of true statements that its meaning may be obscured, while the hedgehog's bare-bones theory has clear relevance to the decision to be made, but may be either false or too idealized to be tested.Galileo's axiom of inertia is an idealization that is unsupported by experience because friction can never be avoided. Axiom G assumes conditions that cannot be realized so the axiom can never be tested. Likewise, pure competition is an idealization that is rarely if ever encountered in practice. But these theories capture the essence of many situations. In practical terms, what it means to get the robotic arm from here to there is to apply net forces that overcome Galilean inertia. But actually designing a robot requires considering details of dissipative forces like friction. What it means to be a small business is that the market price of your product is beyond your control. But actually running a business requires following and reacting to prices in the store next door.It is difficult to choose between a relevantly meaningful but unverifiable theory, and a true theory that is perhaps not quite what we mean.The knowledge-ignorance tension. Recall that we are discussing theories in the service of decision-making by engineers, social scientists and others. A theory should facilitate the use of our knowledge and understanding. However, in some situations our ignorance is vast and our knowledge will grow. Hence a theory should also account for ignorance and be able to accommodate new knowledge.Let's take an example from theories of decision. The independence axiom is fundamental in various decision theories, for instance in von Neumann-Morgenstern expected utility theory. It says that one's choices should be independent of irrelevant alternatives. Suppose you are offered the dinner choice between chicken and fish, and you choose chicken. The server returns a few minutes later saying that beef is also available. If you switch your choice from chicken to fish you are violating the independence axiom. You prefer beef less than both chicken and fish, so the beef option shouldn't alter the fish-chicken preference.But let's suppose that when the server returned and mentioned beef, your physician advised you to reduce your cholesterol intake (so your preference for beef is lowest) which prompted your wife to say that you should eat fish at least twice a week because of vitamins in the oil. So you switch from chicken to fish. Beef is not chosen, but new information that resulted from introducing the irrelevant alternative has altered the chicken-fish preference.One could argue for the independence axiom by saying that it applies only when all relevant information (like considerations of cholesterol and fish oil) are taken into account. On the other hand, one can argue against the independence axiom by saying that new relevant information quite often surfaces unexpectedly. The difficulty is to judge the extent to which ignorance and the emergence of new knowledge should be central in a decision theory.Wrapping up. Theories express our knowledge and understanding about the unknown and confusing world. Knowledge begets knowledge. We use knowledge and understanding - that is, theory - in choosing a theory. The process is difficult because it's like building a boat on the open sea as Otto Neurath once said. Full Article
a Jabberwocky. Or: Grand Unified Theory of Uncertainty??? By decisions-and-info-gaps.blogspot.com Published On :: Mon, 19 Dec 2011 07:30:00 +0000 Jabberwocky, Lewis Carroll's whimsical nonsense poem, uses made-up words to create an atmosphere and to tell a story. "Billig", "frumious", "vorpal" and "uffish" have no lexical meaning, but they could have. The poem demonstrates that the realm of imagination exceeds the bounds of reality just as the set of possible words and meanings exceeds its real lexical counterpart.Uncertainty thrives in the realm of imagination, incongruity, and contradiction. Uncertainty falls in the realm of science fiction as much as in the realm of science. People have struggled with uncertainty for ages and many theories of uncertainty have appeared over time. How many uncertainty theories do we need? Lots, and forever. Would we say that of physics? No, at least not forever.Can you think inconsistent, incoherent, or erroneous thoughts? I can. (I do it quite often, usually without noticing.) For those unaccustomed to thinking incongruous thoughts, and who need a bit of help to get started, I can recommend thinking of "two meanings packed into one word like a portmanteau," like 'fuming' and 'furious' to get 'frumious' or 'snake' and 'shark' to get 'snark'.Portmanteau words are a start. Our task now is portmanteau thoughts. Take for instance the idea of a 'thingk':When I think a thing I've thought,I have often felt I oughtTo call this thing I think a "Thingk",Which ought to save a lot of ink.The participle is written "thingking",(Which is where we save on inking,)Because "thingking" says in just one word:"Thinking of a thought thing." Absurd!All this shows high-power abstraction.(That highly touted human contraption.)Using symbols with subtle feint,To stand for something which they ain't.Now that wasn't difficult: two thoughts at once. Now let those thoughts be contradictory. To use a prosaic example: thinking the unthinkable, which I suppose is 'unthingkable'. There! You did it. You are on your way to a rich and full life of thinking incongruities, fallacies and contradictions. We can hold in our minds thoughts of 4-sided triangles, parallel lines that intersect, and endless other seeming impossibilities from super-girls like Pippi Longstockings to life on Mars (some of which may actually be true, or at least possible).Scientists, logicians, and saints are in the business of dispelling all such incongruities, errors and contradictions. Banishing inconsistency is possible in science because (or if) there is only one coherent world. Belief in one coherent world and one grand unified theory is the modern secular version of the ancient monotheistic intuition of one universal God (in which saints tend to believe). Uncertainty thrives in the realm in which scientists and saints have not yet completed their tasks (perhaps because they are incompletable). For instance, we must entertain a wide range of conflicting conceptions when we do not yet know how (or whether) quantum mechanics can be reconciled with general relativity, or Pippi's strength reconciled with the limitations of physiology. As Henry Adams wrote:"Images are not arguments, rarely even lead to proof, but the mind craves them, and, of late more than ever, the keenest experimenters find twenty images better than one, especially if contradictory; since the human mind has already learned to deal in contradictions."The very idea of a rigorously logical theory of uncertainty is startling and implausible because the realm of the uncertain is inherently incoherent and contradictory. Indeed, the first uncertainty theory - probability - emerged many centuries after the invention of the axiomatic method in mathematics. Today we have many theories of uncertainty: probability, imprecise probability, information theory, generalized information theory, fuzzy logic, Dempster-Shafer theory, info-gap theory, and more (the list is a bit uncertain). Why such a long and diverse list? It seems that in constructing a logically consistent theory of the logically inconsistent domain of uncertainty, one cannot capture the whole beast all at once (though I'm uncertain about this).A theory, in order to be scientific, must exclude something. A scientific theory makes statements such as "This happens; that doesn't happen." Karl Popper explained that a scientific theory must contain statements that are at risk of being wrong, statements that could be falsified. Deborah Mayo demonstrated how science grows by discovering and recovering from error.The realm of uncertainty contains contradictions (ostensible or real) such as the pair of statements: "Nine year old girls can lift horses" and "Muscle fiber generates tension through the action of actin and myosin cross-bridge cycling". A logically consistent theory of uncertainty can handle improbabilities, as can scientific theories like quantum mechanics. But a logical theory cannot encompass outright contradictions. Science investigates a domain: the natural and physical worlds. Those worlds, by virtue of their existence, are perhaps coherent in a way that can be reflected in a unified logical theory. Theories of uncertainty are directed at a larger domain: the natural and physical worlds and all imaginable (and unimaginable) other worlds. That larger domain is definitely not coherent, and a unified logical theory would seem to be unattainable. Hence many theories of uncertainty are needed.Scientific theories are good to have, and we do well to encourage the scientists. But it is a mistake to think that the scientific paradigm is suitable to all domains, in particular, to the study of uncertainty. Logic is a powerful tool and the axiomatic method assures the logical consistency of a theory. For instance, Leonard Savage argued that personal probability is a "code of consistency" for choosing one's behavior. Jim March compares the rigorous logic of mathematical theories of decision to strict religious morality. Consistency between values and actions is commendable says March, but he notes that one sometimes needs to deviate from perfect morality. While "[s]tandard notions of intelligent choice are theories of strict morality ... saints are a luxury to be encouraged only in small numbers." Logical consistency is a merit of any single theory, including a theory of uncertainty. However, insisting that the same logical consistency apply over the entire domain of uncertainty is like asking reality and saintliness to make peace. Full Article
a Mind or Stomach? Imagination or Necessity? By decisions-and-info-gaps.blogspot.com Published On :: Wed, 04 Jan 2012 06:12:00 +0000 "An army marches on its stomach" said Napoleon, who is also credited with saying "Imagination rules the world". Is history driven by raw necessity and elementary needs? Or is history hewn by people from their imagination, dreams and ideas?The answer is simple: 'Both'. The challenge is to untangle imagination from necessity. Consider these examples:An ancient Jewish saying is "Without flour, there is no Torah. Without Torah there is no flour." (Avot 3:17) Scholars don't eat much, but they do need to eat. And if you feed them, they produce wonders.Give a typewriter to a monkey and he might eventually tap out Shakespeare's sonnets, but it's not very likely. Give that monkey an inventive mind and he will produce poetry, a vaccine against polio, and the atom bomb. Why the bomb? He needed it.Necessity is the mother of invention, they say, but it's actually a two-way street. For instance, human inventiveness includes dreams of cosmic domination, leading to war. Hence the need for that bomb. Satisfying a need, like the need for flour, induces inventiveness. And this inventiveness, like the discovery of genetically modified organisms, creates new needs. Necessity induces inventiveness, and inventiveness creates new dangers, challenges and needs. This cycle is endless because the realm of imagination is boundless, far greater than prosaic reality, as we discussed elsewhere.Imagination and necessity are intertwined, but still are quite different. Necessity focusses primarily on what we know, while imagination focusses on the unknown.We know from experience that we need food, shelter, warmth, love, and so on. These requirements force themselves on our awareness. Even the need for protection against surprise is known, though the surprise is not.Imagination operates in the realm of the unknown. We seek the new, the interesting, or the frightful. Imagination feeds our fears of the unknown and nurtures our hopes for the unimaginable. We explore the bounds of the possible and try breaking through to the impossible.Mind or stomach? Imagination or necessity? Every 'known' has an 'unknown' lurking behind it, and every 'unknown' may some day be discovered or dreamed into existence. Every mind has a stomach, and a stomach with no mind is not human. Full Article
a The Age of Imagination By decisions-and-info-gaps.blogspot.com Published On :: Mon, 09 Jan 2012 09:35:00 +0000 This is not only the Age of Information, this is also the Age of Imagination. Information, at any point in time, is bounded, while imagination is always unbounded. We are overwhelmed more by the potential for new ideas than by the admittedly vast existing knowledge. We are drunk with the excitement of the unknown. Drunks are sometimes not a pretty sight; Isaiah (28:8) is very graphic.It is true that topical specialization occurs, in part, due to what we proudly call the explosion of knowledge. There is so much to know that one must ignore huge tracts of knowledge. But that is only half the story. The other half is that we have begun to discover the unknown, and its lure is irresistible. Like the scientific and global explorers of the early modern period - The Discoverers as Boorstin calls them - we are intoxicated by the potential "out there", beyond the horizon, beyond the known. That intoxication can distort our vision and judgment.Consider Reuven's comment, from long experience, that "Engineers use formulas and various equations without being aware of the theories behind them." A pithier version was said to me by an acquisitions editor at Oxford University Press: "Engineers don't read books." She should know.Engineers are imaginative and curious. They are seekers, and they find wonderful things. But they are too engrossed in inventing and building The New, to be much engaged with The Old. "Scholarship", wrote Thorstein Veblen is "an intimate and systematic familiarity with past cultural achievements." Engineers - even research engineers and professors of engineering - spend very little time with past masters. How many computer scientists scour the works of Charles Babbage? How often do thermal engineers study the writings of Lord Kelvin? A distinguished professor of engineering, himself a member of the US National Academy of Engineering, once told me that there is little use for journal articles more than a few years old.Fragmentation of knowledge results from the endless potential for new knowledge. Seekers - engineers and the scientists of nature, society and humanity - move inexorably apart from one another. But nonetheless it's all connected; consilient. Technology alters how we live. Science alters what we think. How can we keep track of it all? How can we have some at least vague and preliminary sense of where we are heading and whether we value the prospect?The first prescription is to be aware of the problem, and I greatly fear that many movers and shakers of the modern age are unaware. The second prescription is to identify who should take the lead in nurturing this awareness. That's easy: teachers, scholars, novelists, intellectuals of all sorts.Isaiah struggled with this long ago. "Priest and prophet erred with liquor, were swallowed by wine."(Isaiah, 28:7) We are drunk with the excitement of the unknown. Who can show the way? Full Article
a Accidental Education By decisions-and-info-gaps.blogspot.com Published On :: Mon, 20 Feb 2012 06:31:00 +0000 "He had to take that life as he best could, with such accidental education as luck had given him". Henry AdamsI am a university professor. Universities facilitate efficient and systematic learning, so I teach classes, design courses, and develop curricula. Universities have tremendously benefitted technology, the economy, health, cultural richness and awareness, and many other "goods".Nonetheless, some important lessons are learned strictly by accident. Moreover, without accidental surprises, education would be a bit dry, sometimes even sterile. As Adams wrote: "The chief wonder of education is that it does not ruin everybody concerned in it, teachers and taught."An example. I chose my undergraduate college because of their program in anthropology. When I got there I took a chemistry course in my first semester. I was enchanted, by the prof as much as by the subject. I majored in chemistry and never went near the anthro department. If that prof had been on sabbatical I might have ended up an anthropologist.Universities promote lifelong learning. College is little more than a six-pack of knowledge, a smattering of understanding and a wisp of wisdom. But lifelong learning doesn't only mean "come back to grad school". It means perceiving those rarities and strangenesses that others don't notice. Apples must have fallen on lots of peoples' heads before some clever fellow said "Hmmm, what's going on here?".Accidental education is much more than keeping your eyes and mind open (though that is essential). To understand the deepest importance of accidental education we need to enlist two concepts: the boundlessness of the unknown, and human free will. We will then understand that accidental education feeds the potential for uniqueness of the individual.As we have explained elsewhere, in discussing grand unified theories and imagination, the unknown is richer and stranger - and more contradictory - than the single physical reality that we actually face. The unknown is the realm of all possible as well as impossible worlds. It is the domain in which our dreams and speculations wander. It may be frightening or heartening, but taken as a whole it is incoherent, contradictory and endlessly amazing, variable and stimulating.We learn about the unknown in part by speculating, wondering, and dreaming (awake and asleep). Imagining the impossible is very educational. For instance, most things are impossible for children (from tying their shoes to running the country), but they must be encouraged to imagine that they can or will be able to do them. Adults also can re-make themselves in line with their dreams. We are free and able to imagine ourselves and the world in endless new and different ways. Newton's apple brought to his mind a picture of the universe unlike any that had been imagined before. Surprises, like dreams, can free us from the mundane. Cynics sometimes sneer at personal or collective myths and musings, but the ability to re-invent ourselves is the essence of humanity. The children of Israel imagined at Sinai that the covenant was given directly to them all - men, women and children equally - with no royal or priestly intermediary. This launched the concept and the possibility of political equality.The Israelites had no map of the desert because the promised land that they sought was first of all an idea. Only after re-inventing themselves as a free people created equal in the image of God, and not slaves, only after finding a collective identity and mission, only then could they enter the land of Canaan. Theirs wanderings were random and their discoveries were accidental, but their formative value is with us to this day. No map or curriculum can organize one's wandering in the land of imagination. Unexpected events happen in the real world, but they stimulate our imagination of the infinity of other possible worlds. Our most important education is the accidental stumbling on new thoughts that feed our potential for innovation and uniqueness. For the receptive mind, accidental education can be the most sublime. Full Article
a We're Just Getting Started: A Glimpse at the History of Uncertainty By decisions-and-info-gaps.blogspot.com Published On :: Thu, 22 Mar 2012 19:12:00 +0000 We've had our cerebral cortex for several tens of thousands of years. We've lived in more or less sedentary settlements and produced excess food for 7 or 8 thousand years. We've written down our thoughts for roughly 5 thousand years. And Science? The ancient Greeks had some, but science and its systematic application are overwhelmingly a European invention of the past 500 years. We can be proud of our accomplishments (quantum theory, polio vaccine, powered machines), and we should worry about our destructive capabilities (atomic, biological and chemical weapons). But it is quite plausible, as Koestler suggests, that we've only just begun to discover our cerebral capabilities. It is more than just plausible that the mysteries of the universe are still largely hidden from us. As evidence, consider the fact that the main theories of physics - general relativity, quantum mechanics, statistical mechanics, thermodynamics - are still not unified. And it goes without say that the consilient unity of science is still far from us.What holds for science in general, holds also for the study of uncertainty. The ancient Greeks invented the axiomatic method and used it in the study of mathematics. Some medieval thinkers explored the mathematics of uncertainty, but it wasn't until around 1600 that serious thought was directed to the systematic study of uncertainty, and statistics as a separate and mature discipline emerged only in the 19th century. The 20th century saw a florescence of uncertainty models. Lukaczewicz discovered 3-valued logic in 1917, and in 1965 Zadeh introduced his work on fuzzy logic. In between, Wald formulated a modern version of min-max in 1945. A plethora of other theories, including P-boxes, lower previsions, Dempster-Shafer theory, generalized information theory and info-gap theory all suggest that the study of uncertainty will continue to grow and diversify.In short, we have learned many facts and begun to understand our world and its uncertainties, but the disputes and open questions are still rampant and the yet-unformulated questions are endless. This means that innovations, discoveries, inventions, surprises, errors, and misunderstandings are to be expected in the study or management of uncertainty. We are just getting started. Full Article
a I am a Believer By decisions-and-info-gaps.blogspot.com Published On :: Mon, 23 Apr 2012 05:11:00 +0000 There are many things that I don't know. About the past: how my great-great-grandfather supported his family, how Charlemagne consolidated his imperial power, or how Rabbi Akiva became a scholar. About the future: whether I'll get that contract, how much the climate will change in the next 100 years, or when the next war will erupt. About why things are as they are: why stones fall and water freezes, or why people love or hate or don't give a damn, or why we are, period.We reflect about questions like these, trying to answer them and to learn from them. For instance, we are interested in the relations between Charlemagne and his co-ruling brother Carloman. This can tell us about brothers, about emperors, and about power. We are interested in Akiva because he purportedly started studying at the age of 40, which tells us something about the indomitable human spirit.We sometimes get to the bottom of things and understand the whys and ways of our world. We see patterns and discover laws of nature, or at least we tell stories of how things happen. Stones fall because it's their nature to seek the center of the world (Aristotle), or due to gravitational attraction (Newton), or because of mass-induced space warp (Einstein). Human history has its patterns, driven by the will to power of heroic leaders, or by the unfolding of truth and justice, or by God's hand in history.We also think about thinking itself, as suggested by Rodin's Thinker. What is thinking (or what do we think it is)? Is thinking a physical process, like electrons whirling in our brain? Or does thinking involve something transcendental; maybe the soul whirling in the spheres? Each age has its answers.We sometimes get stuck, and can't figure things out or get to the bottom of things. Sometimes we even realize that there is no "bottom", that each answer brings its own questions. As John Wheeler said, "We live on an island of knowledge surrounded by a sea of ignorance. As our island of knowledge grows, so does the shore of our ignorance."Sometimes we get stuck in an even subtler way that is very puzzling, and even disturbing. Any rational chain of thought must have a starting point. Any rational justification of that starting point must have its own starting point. In other words, any attempt to rationally justify rational thought can never be completed. Rational thought cannot justify itself, which is almost the same as saying that rational thought is not justified. Any specific rational argument - Einstein's cosmology or Piaget's psychology - is justified based on its premises (and evidence, and many other things). But Rational Thought, as a method, as a way of life and a core of civilization, cannot ultimately and unequivocally justify itself.I believe that experience reflects reality, and that thought organizes experience to reveal the patterns of reality. The truth of this belief is, I believe, self evident and unavoidable. Just look around you. Flowers bloom anew each year. Planets swoop around with great regularity. We have learned enough about the world to change it, to control it, to benefit from it, even to greatly endanger our small planetary corner of it. I believe that rational thought is justified, but that's a belief, not a rational argument.Rational thought, in its many different forms, is not only justified; it is unavoidable. We can't resist it. Moses saw the flaming bush and was both frightened and curious because it was not consumed (Exodus 3:1-3). He was drawn towards it despite his fear. The Unknown draws us irresistibly on an endless search for order and understanding. The Unknown drives us to search for knowledge, and the search is not fruitless. This I believe. Full Article
a Alone By decisions-and-info-gaps.blogspot.com Published On :: Fri, 11 May 2012 05:46:00 +0000 [S]ince there is an infinity of possible worlds, there is also an infinity of possible laws, some proper to one world, others proper to another, and each possible individual of a world includes the laws of its world in its notion. Gottfried Wilhelm LeibnizOn simple matters we can agree. Water freezes and wood burns. People can agree on social or political issues, though often more from self interest than from reasoned argument.Agreement is rare or flitting on what is good or bad, worthy or worthless, humane or heartless. Are we simply not wise or intelligent or patient or convincing enough to find consensus?Agreement is rare because the realm of possibilities is boundless. Every thought or vision carries a cosmos of variations and extensions. A good idea is one that spawns new good ideas, on and on. We are told that God the creator created man and woman in his image: as creators, to be fruitful and to multiply children, and ideas, and worlds.At first we think that we are the entire world. Then we discover other worlds - things and people - and we think that they are the same as us. Then we discover that they have minds that, like ours, create their own worlds. We learn to communicate with those minds out there. We think that our meanings are their meanings, and this is true for many things, and even for many thoughts. But not for all of them. Then we discover that our deepest feelings are ours alone, and that we have created a continent whose shores are only lapped by waves from distant lands. Full Article
a Why We Need Libraries, Or, Memory and Knowledge By decisions-and-info-gaps.blogspot.com Published On :: Sat, 26 May 2012 06:19:00 +0000 "Writing is thinking in slow motion. We see what at normal speeds escapes us, can rerun the reel at will to look for errors, erase, interpolate, and rethink. Most thoughts are a light rain, fall upon the ground, and dry up. Occasionally they become a stream that runs a short distance before it disappears. Writing stands an incomparably better chance of getting somewhere."... What is written can be given endlessly and yet retained, read by thousands even while it is being rewritten, kept as it was and revised at the same time. Writing is magic." Walter KaufmannWe are able to know things because they happen again and again. We know about the sun because it glares down on us day after day. Scientists learn the laws of nature, and build confidence in their knowledge, by testing their theories over and over and getting the same results each time. We would be unable to learn the patterns and ways of our world if nothing were repeatable.But without memory, we could learn nothing even if the world were tediously repetitive. Even though the sun rises daily in the east, we could not know this if we couldn't remember it.The world has stable patterns, and we are able to discover these patterns because we remember. Knowledge requires more than memory, but memory is an essential element.The invention of writing was a great boon to knowledge because writing is collective memory. For instance, the Peloponnesian wars are known to us through Thucydides' writings. People understand themselves and their societies in part through knowing their history. History, as distinct from pre-history, depends on the written word. For example, each year at the Passover holiday, Jewish families through the ages have read the story of the Israelite exodus from Egypt. We are enjoined to see ourselves as though we were there, fleeing Egypt and trudging through the desert. Memory, recorded for all time, creates individual and collective awareness, and motivates aspirations and actions.Without writing, much collective memory would be lost, just as books themselves are sometimes lost. We know, for instance, that Euclid wrote a book called Porisms, but the book is lost and we know next to nothing about its message. Memory, and knowledge, have been lost.Memory can be uncertain. We've all experienced that on the personal level. Collective memory can also be uncertain. We're sometimes uncertain of the meaning of rare ancient words, such as lilit in Isaiah (34:14) or gvina in Job (10:10). Written traditions, while containing an element of truth, may be of uncertain meaning or veracity. For instance, we know a good deal, both from the Bible and from archeological findings, about Hezekiah who ruled the kingdom of Judea in the late 8th century BCE. About David, three centuries earlier, we can be much less certain. Biblical stories are told in great detail but corroboration is hard to obtain.Memory can be deliberately corrupted. Records of history can be embellished or prettified, as when a king commissions the chronicling of his achievements. Ancient monuments glorifying imperial conquests are invaluable sources of knowledge of past ages, but they are unreliable and must be interpreted cautiously. Records of purported events that never occurred can be maliciously fabricated. For instance, The Protocols of the Elders of Zion is pure invention, though that book has been re-published voluminously throughout the world and continues to be taken seriously by many people. Memory is alive and very real, even if it is memory of things that never happened.Libraries are the physical medium of human collective memory, and an essential element in maintaining and enlarging our knowledge. There are many types of libraries. The family library may have a few hundred books, while the library of Congress has 1,349 km of bookshelves and holds about 147 million items. Libraries can hold paper books or digital electronic documents. Paper can perish in fire as happened to the Alexandrian library, while digital media can be erased, or become damaged and unreadable. Libraries, like memory itself, are fragile and need care.Why do we need libraries? Being human means, among other things, the capacity for knowledge, and the ability to appreciate and benefit from it. The written record is a public good, like the fresh air. I can read Confucius or Isaiah centuries after they lived, and my reading does not consume them. Our collective memory is part of each individual, and preserving that memory preserves a part of each of us. Without memory, we are without knowledge. Without knowledge, we are only another animal. Full Article
a Habit: A Response to the Unknown By decisions-and-info-gaps.blogspot.com Published On :: Sat, 10 Nov 2012 15:06:00 +0000 David Hume explained that we believe by habit that logs will burn, stones will fall, and endless other past patterns will recur. No experiment can prove the future recurrence of past events. An experiment belongs to the future only until it is implemented; once completed, it becomes part of the past. In order for past experiments to prove something about the future, we must assume that the past will recur in the future. That's as circular as it gets.But without the habit of believing that past patterns will recur, we would be incapacitated and ineffectual (and probably reduced to moping and sobbing). Who would dare climb stairs or fly planes or eat bread and drink wine, without the belief that, like in the past, the stairs will bear our weight, the wings will carry us aloft, and the bread and wine will nourish our body and soul. Without such habits we would become a jittering jelly of indecision in the face of the unknown.But you can't just pull a habit out of a hat. We spend great effort instilling good habits in our children: to brush their teeth, tell the truth, and not pick on their little sister even if she deserves it.As we get older, and I mean really older, we begin to worry that our habits become frozen, stodgy, closed-minded and constraining. Younger folks smile at our rigid ways, and try to loosen us up to the new wonders of the world: technological, culinary or musical. Changing your habits, or staying young when you aren't, isn't always easy. Without habits we're lost in an unknowable world.And yet, openness to new ideas, tastes, sounds and other experiences of many sorts can itself be a habit, and perhaps a good one. It is the habit of testing the unknown, of acknowledging the great gap between what we do know and what we can know. That gap is an invitation to growth and awe, as well as to fear and danger.The habit of openness to change is not a contradiction. It is simply a recognition that habits are a response to the unknown. Not everything changes all the time (or so we're in the habit of thinking), and some things are new under the sun (as newspapers and Nobel prize committees periodically remind us).Habits, including the habit of open-mindedness, are a good thing precisely because we can never know for sure how good or bad they really are. Full Article
a MOOCs and the Unknown By decisions-and-info-gaps.blogspot.com Published On :: Sat, 09 Feb 2013 15:44:00 +0000 MOOCs - Massive Open Online Courses - have fed hundreds of thousands of knowledge-hungry people around the globe. Stanford University's MOOCs program has taught open online courses to tens of thousands students per course, and has 2.5 million enrollees from nearly every country in the world. The students hear a lecturer, and also interact with each other in digital social networks that facilitate their mastery of the material and their integration into global communities of the knowledgable. The internet, and its MOOC realizations, extend the democratization of knowledge to a scale unimagined by early pioneers of workers' study groups or public universities. MOOCs open the market of ideas and knowledge to everyone, from the preacher of esoteric spirituality to the teacher of esoteric computer languages. It's all there, all you need is a browser.The internet is a facilitating technology, like the invention of writing or the printing press, and its impacts may be as revolutionary. MOOCs are here to stay, like the sun to govern by day and the moon by night, and we can see that it is good. But it also has limitations, and these we must begin to understand.Education depends on the creation and transfer of knowledge. Insight, invention, and discovery underlay the creation of knowledge, and they must precede the transfer of knowledge. MOOCs enable learners to sit at the feet of the world's greatest creators of knowledge.But the distinction between creation and transfer of knowledge is necessarily blurred in the process of education itself. Deep and meaningful education is the creation of knowledge in the mind of the learner. Education is not the transfer of digital bits between electronic storage devices. Education is the creation or discovery by the learner of thoughts that previously did not exist in his mind. One can transfer facts per se, but if this is done without creative insight by the learner it is no more than Huck Finn's learning "the multiplication table up to six times seven is thirty-five".Invention, discovery and creation occur in the realm of the unknown; we cannot know what will be created until it appears. Two central unknowns dominate the process of education, one in the teacher's mind and one in the student's.The teacher cannot know what questions the student will ask. Past experience is a guide, but the universe of possible questions is unbounded, and the better the student, the more unpredictable the questions. The teacher should respond to these questions because they are the fruitful meristem of the student's growing understanding. The student's questions are the teacher's guide into the student's mind. Without them the teacher can only guess how to reach the learner. The most effective teacher will personalize his interaction with the learner by responding to the student's questions.The student cannot know the substance of what the teacher will teach; that's precisely why the student has come to the teacher. In extreme cases - of really deep and mind-altering learning - the student will not even understand the teacher's words until they are repeated again and again in new and different ways. The meanings of words come from context. A word means one thing and not another because we use that word in this way and not that. The student gropes to find out how the teacher uses words, concepts and tools of thought. The most effective learning occurs when the student can connect the new meanings to his existing mental contexts. The student cannot always know what contexts will be evoked by his learning.As an interim summary, learning can take place only if there is a gap of knowledge between teacher and student. This knowledge gap induces uncertainties on both sides. Effective teaching and learning occur by personalized interaction to dispel these uncertainties, to fill the gap, and to complete the transfer of knowledge.We can now appreciate the most serious pedagogic limitation of MOOCs as a tool for education. Mass education is democratic, and MOOCs are far more democratic than any previous mode. This democracy creates a basic tension. The more democratic a mode of communication, the less personalized it is because of its massiveness. The less personalized a communication, the less effective it is pedagogically. The gap of the unknown that separates teacher and learner is greatest in massively democratic education.Socrates inveighed against the writing of books. They are too impersonal and immutable. They offer too little room for Socratic mid-wifery of wisdom, in which knowledge comes from dialog. Socrates wanted to touch his students' souls, and because each soul is unique, no book can bridge the gap. Books can at best jog the memory of learners who have already been enlightened. Socrates would probably not have liked MOOCs either, and for similar reasons.Nonetheless, Socrates might have preferred MOOCs over books because the mode of communication is different. Books approach the learner through writing, and induce him to write in response. In contrast, MOOCs approach the learner through speech, and induce him to speak in response. Speech, for Socrates, is personal and interactive; speech is the road to the soul. Spoken bilateral interaction cannot occur between a teacher and 20 thousand online learners spread over time and space. That format is the ultimate insult to Socratic learning. On the other hand, the networking that can accompany a MOOC may possibly facilitate the internalization of the teacher's message even more effectively than a one-on-one tutorial. Fast and multi-personal, online chats and other networking can help the learners to rapidly find their own mental contexts for assimilating and modifying the teacher's message.Many people have complained that the internet undermines the permanence of the written word. No document is final if it's on the web. Socrates might have approved, and this might be the greatest strength of the MOOC: no course ever ends and no lecture is really final. If MOOCs really are democratic then they cannot be controlled. The discovery of knowledge, like the stars in their orbits, is forever on-going, with occasional supernovas that brighten the heavens. The creation of knowledge will never end because the unknown is limitless. If MOOCs facilitate this creation, then they are good. Full Article
a Mathematical Metaphors By decisions-and-info-gaps.blogspot.com Published On :: Sun, 28 Apr 2013 11:25:00 +0000 Theories in all areas of science tell us something about the world. They are images, or models, or representations of reality. Theories tell stories about the world and are often associated with stories about their discovery. Like the story (probably apocryphal) that Newton invented the theory of gravity after an apple fell on his head. Or the story (probably true) that Kekule discovered the cyclical structure of benzene after day-dreaming of a snake seizing its tail. Theories are metaphors that explain reality.A theory is scientific if it is precise, quantitative, and amenable to being tested. A scientific theory is mathematical. Scientific theories are mathematical metaphors.A metaphor uses a word or phrase to define or extend or focus the meaning of another word or phrase. For example, "The river of time" is a metaphor. We all know that rivers flow inevitably from high to low ground. The metaphor focuses the concept of time on its inevitable uni-directionality. Metaphors make sense because we understand what they mean. We all know that rivers are wet, but we understand that the metaphor does not mean to imply that time drips, because we understand the words and their context. But on the other hand, a metaphor - in the hands of a creative and imaginative person - might mean something unexpected, and we need to think carefully about what the metaphor does, or might, mean. Mathematical metaphors - scientific models - also focus attention in one direction rather than another, which gives them explanatory and predictive power. Mathematical metaphors can also be interpreted in different and surprising ways.Some mathematical models are very accurate metaphors. For instance, when Galileo dropped a heavy object from the leaning tower of Pisa, the distance it fell increased in proportion to the square of the elapsed time. Mathematical equations sometimes represent reality quite accurately, but we understand the representation only when the meanings of the mathematical terms are given in words. The meaning of the equation tells us what aspect of reality the model focuses on. Many things happened when Galileo released the object - it rotated, air swirled, friction developed - while the equation focuses on one particular aspect: distance versus time. Likewise, the quadratic equation that relates distance to time can also be used to relate energy to the speed of light, or to relate population growth rate to population size. In Galileo's case the metaphor relates to freely falling objects.Other models are only approximations. For example, a particular theory describes the build up of mechanical stress around a crack, causing damage in the material. While cracks often have rough or ragged shapes, this important and useful theory assumes the crack is smooth and elliptical. This mathematical metaphor is useful because it focuses the analysis on the radius of curvature of the crack that is critical in determining the concentration of stress.Not all scientific models are approximations. Some models measure something. For example, in statistical mechanics, the temperature of a material is proportional to the average kinetic energy of the molecules in the material. The temperature, in degrees centigrade, is a global measure of random molecular motion. In economics, the gross domestic product is a measure of the degree of economic activity in the country.Other models are not approximations or measures of anything, but rather graphical portrayals of a relationship. Consider, for example, the competition among three restaurants: Joe's Easy Diner, McDonald's, and Maxim's de Paris. All three restaurants compete with each other: if you're hungry, you've got to choose. Joe's and McDonald's are close competitors because they both specialize in hamburgers but also have other dishes. They both compete with Maxim's, a really swank and expensive boutique restaurant, but the competition is more remote. To model the competition we might draw a line representing "competition", with each restaurant as a dot on the line. Joe's and McDonald's are close together and far from Maxim's. This line is a mathematical metaphor, representing the proximity (and hence strength) of competition between the three restaurants. The distances between the dots are precise, but what the metaphor means, in terms of the real-world competition between Joe, McDonald, and Maxim, is not so clear. Why a line rather than a plane to refine the "axes" of competition (price and location for instance)? Or maybe a hill to reflect difficulty of access (Joe's is at one location in South Africa, Maxim's has restaurants in Paris, Peking, Tokyo and Shanghai, and McDonald's is just about everywhere). A metaphor emphasizes some aspects while ignoring others. Different mathematical metaphors of the same phenomenon can support very different interpretations or insights.The scientist who constructs a mathematical metaphor - a model or theory - chooses to focus on some aspects of the phenomenon rather than others, and chooses to represent those aspects with one image rather than another. Scientific theories are fascinating and extraordinarily useful, but they are, after all, only metaphors. Full Article
a Customer experience tweaks that boost restaurant results By feeds.feedblitz.com Published On :: Sat, 19 Oct 2019 19:22:35 +0000 Restaurant guest experience depends on more than good food and quick service. The post Customer experience tweaks that boost restaurant results appeared first on Neuromarketing. Full Article Neuromarketing consumer behavior customer experience cx menu design restaurant restaurant menus restaurants
a Decoy Pricing: Did United Airlines Fire Their Behavioral Economist? By feeds.feedblitz.com Published On :: Tue, 29 Oct 2019 11:07:30 +0000 It appears that United Airlines has stopped using a classic decoy pricing approach for in-flight wifi options. The post Decoy Pricing: Did United Airlines Fire Their Behavioral Economist? appeared first on Neuromarketing. Full Article Neuromarketing decoy marketing decoy pricing pricing united airlines
a Best Business Books of 2019 – Strategy+Business By feeds.feedblitz.com Published On :: Wed, 06 Nov 2019 19:48:24 +0000 Friction made strategy+business's 2019 list of Best Business Books, one of just three in the management category. The post Best Business Books of 2019 – Strategy+Business appeared first on Neuromarketing. Full Article Neuroscience and Marketing Books business books friction management strategy
a Brainfluence Now Has An Italian Translation By feeds.feedblitz.com Published On :: Thu, 14 Nov 2019 22:31:05 +0000 Roger Dooley's book Brainfluence has just been released in an Italian translation. The post Brainfluence Now Has An Italian Translation appeared first on Neuromarketing. Full Article Neuroscience and Marketing Books brainfluence italian neuromarketing translations
a Non-Profit Persuasion Lesson from Jay-Z By feeds.feedblitz.com Published On :: Tue, 19 Nov 2019 12:59:07 +0000 Rapper Jay-Z used a classic influence principle for non-profit persuasion. The post Non-Profit Persuasion Lesson from Jay-Z appeared first on Neuromarketing. Full Article Neuromarketing fundraising non-profit nonprofit personalization reciprocation reciprocity rolex
a 12 Cognitive Biases E-commerce Marketers Need to Know By feeds.feedblitz.com Published On :: Tue, 26 Nov 2019 12:05:15 +0000 Understand how customer brains work - these are the most important cognitive biases for e-commerce marketers. The post 12 Cognitive Biases E-commerce Marketers Need to Know appeared first on Neuromarketing. Full Article Neuromarketing Cognitive Biases conversion optimization cro e-commerce machine learning user experience website experiments
a When Lead Generation Trumps Helping Customers | #FrictionHunter By feeds.feedblitz.com Published On :: Thu, 26 Dec 2019 17:54:40 +0000 Turning a chat request into a lead generation process adds friction and annoys customers. The post When Lead Generation Trumps Helping Customers | #FrictionHunter appeared first on Neuromarketing. Full Article Friction chat help chatbots conversion cro customer experience cx friction lead generation leadgen user experience ux
a How One Simple Strategy Changed the Candy Industry By feeds.feedblitz.com Published On :: Mon, 27 Jan 2020 16:41:38 +0000 A century ago, Edward Noble sold billions of Life Savers in a few years with a different approach to marketing mints. The post How One Simple Strategy Changed the Candy Industry appeared first on Neuromarketing. Full Article Neuromarketing candy convenience customer experience cx edward noble friction
a How the Cootie Effect Can Reduce Virus Transmission By feeds.feedblitz.com Published On :: Mon, 23 Mar 2020 14:53:18 +0000 Reminding people of imaginary cooties can keep them from catching the real, life-threatening ones. The post How the Cootie Effect Can Reduce Virus Transmission appeared first on Neuromarketing. Full Article Neuromarketing contagion cootie effect cooties coronavirus
a Sensory Marketing for Intangibles By feeds.feedblitz.com Published On :: Tue, 05 May 2020 12:40:55 +0000 Sensory marketing is possible for intangible products, services, and ideas. Here are examples from Friction by Roger Dooley. The post Sensory Marketing for Intangibles appeared first on Neuromarketing. Full Article Neuromarketing business books business cards friction senses sensory branding sensory marketing touch
a New History of Psychiatry: Melancholy, Madness, Chinese Psychiatry, Psychedelic Therapy, and More By ahp.apps01.yorku.ca Published On :: Tue, 21 Apr 2020 12:59:00 +0000 The June 2020 issue of History of Psychiatry is now online. Full details follow below: “Wild melancholy. On the historical plausibility of a black bile theory of blood madness, or hæmatomania,” Jan Verplaetse. Abstract: Nineteenth-century art historian John Addington Symonds coined the term hæmatomania (blood madness) for the extremely bloodthirsty behaviour of a number of … Continue reading New History of Psychiatry: Melancholy, Madness, Chinese Psychiatry, Psychedelic Therapy, and More → Full Article General
a New JHBS: Mind-Body Medicine Before Freud, Psychology and Biography, Jung and Einstein By ahp.apps01.yorku.ca Published On :: Thu, 30 Apr 2020 12:54:00 +0000 The Spring 2020 issue of the Journal of the History of the Behavioral Sciences is now online. Full details about contributions to this issue follow below. “Practicing mind-body medicine before Freud: John G. Gehring, the “Wizard of the Androscoggin”” by. Ben Harris and Courtney J. Stevens. Abstract: This article describes the psychotherapy practice of physician … Continue reading New JHBS: Mind-Body Medicine Before Freud, Psychology and Biography, Jung and Einstein → Full Article General
a History of Spanish Psychology, 1800–2000 By ahp.apps01.yorku.ca Published On :: Thu, 30 Apr 2020 14:11:00 +0000 AHP readers may be interested in a recent piece on “History of Spanish Psychology, 1800–2000” in the Oxford Research Encyclopedia of Psychology. Full details below. “History of Spanish Psychology, 1800–2000,” by Javier Bandrés. Abstract: In the history of Spanish psychology in the 19th century, three stages can be distinguished. An eclectic first stage was defined … Continue reading History of Spanish Psychology, 1800–2000 → Full Article General
a Review Article – Within a single lifetime: Recent writings on autism By ahp.apps01.yorku.ca Published On :: Thu, 30 Apr 2020 20:23:00 +0000 AHP readers will be interested in a review article now available online from History of the Human Sciences “Within a single lifetime: Recent writings on autism.” Written by Gregory Hollin the piece reviews five recent books on autism. Full Article General
a New Theory & Psychology: Early Critical Theory and Beck’s Cognitive Theory By ahp.apps01.yorku.ca Published On :: Fri, 01 May 2020 12:21:00 +0000 Two articles in the most recent issue of Theory & Psychology may interest AHP readers. Full details below. “How lost and accomplished revolutions shaped psychology: Early Critical Theory (Frankfurt School), Wilhelm Reich, and Vygotsky,” by Gordana Jovanovi?. Abstract: On the occasion of recent centenaries of revolutions in Europe (1917, 1918–19), this article examines, within a … Continue reading New Theory & Psychology: Early Critical Theory and Beck’s Cognitive Theory → Full Article General
a Forthcoming in JHBS: Quêtelet on Deviance, McClelland on Leadership, Psychological Warfare, and More By ahp.apps01.yorku.ca Published On :: Fri, 01 May 2020 14:43:00 +0000 A number of articles now in press at the Journal of the History of the Behavioral Sciences will be of interest to AHP readers. Full details below. “Uncovering the metaphysics of psychological warfare: The social science behind the Psychological Strategy Board’s operations planning, 1951–1953,” Gabrielle Kemmis. Abstract: In April 1951 president Harry S. Truman established … Continue reading Forthcoming in JHBS: Quêtelet on Deviance, McClelland on Leadership, Psychological Warfare, and More → Full Article General
a Forthcoming HOPOS Special Issue on Descriptive Psychology and Völkerpsychologie By ahp.apps01.yorku.ca Published On :: Fri, 01 May 2020 18:20:00 +0000 Two pieces forthcoming in a special issue of HOPOS, the official journal of the International Society for the History of Philosophy of Science, will be of interest to AHP readers. The special issue, “Descriptive Psychology and Völkerpsychologie—in the Contexts of Historicism, Relativism, and Naturalism,” is guest-edited by Christian Damböck, Uljana Feest, and Martin Kusch. Full details … Continue reading Forthcoming HOPOS Special Issue on Descriptive Psychology and Völkerpsychologie → Full Article General
a CfP: Shaping the ‘Socialist Self’? The Role of Psy-Sciences in Communist States of the Eastern Bloc (1948–1989) By ahp.apps01.yorku.ca Published On :: Wed, 06 May 2020 01:10:00 +0000 CALL FOR PAPERSINTERNATIONAL WORKSHOP Shaping the ‘Socialist Self’? The Role of Psy-Sciences in Communist States of the Eastern Bloc (1948–1989) Date: 6 November 2020 Venue: Prague, Czech Republic Deadline for applications: 30 June 2020 Organizing institutions: CEFRES (French Research Center in Humanities and Social Sciences in Prague) Institute of Contemporary History of the Czech Academy of Sciences Collegium Carolinum … Continue reading CfP: Shaping the ‘Socialist Self’? The Role of Psy-Sciences in Communist States of the Eastern Bloc (1948–1989) → Full Article General
a May HoP, including a Special Section: Who Was Little Albert? The Historical Controversy By ahp.apps01.yorku.ca Published On :: Fri, 08 May 2020 19:25:00 +0000 Photographs of John Watson (left) and Rosalie Rayner (right) via Ben Harris. The May 2020 issue of History of Psychology is now online. The issue includes a special section on “Who Was Little Albert? The Historical Controversy.” Full details follow below. Special Section: Who Was Little Albert? The Historical Controversy“Journals, referees, and gatekeepers in the … Continue reading May HoP, including a Special Section: Who Was Little Albert? The Historical Controversy → Full Article General
a Forthcoming in HHS: Homosexual Aversion Therapy, Comte on Organism-Environment Relationships By ahp.apps01.yorku.ca Published On :: Fri, 08 May 2020 19:47:00 +0000 Two forthcoming pieces in History of the Human Sciences may be of interest to AHP readers. Full details below. “Cold War Pavlov: Homosexual aversion therapy in the 1960s,” by Kate Davison. Abstract: Homosexual aversion therapy enjoyed two brief but intense periods of clinical experimentation: between 1950 and 1962 in Czechoslovakia, and between 1962 and 1975 … Continue reading Forthcoming in HHS: Homosexual Aversion Therapy, Comte on Organism-Environment Relationships → Full Article General
a This Essential Mineral Linked To COVID-19 Recovery By www.spring.org.uk Published On :: Tue, 05 May 2020 15:00:39 +0000 An essential mineral in the body have been linked to recovery of COVID-19 patients. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article COVID19
a Six Simple Signs Of A Narcissist (M) By www.spring.org.uk Published On :: Tue, 05 May 2020 15:30:33 +0000 One of the most commonly believed signs of a narcissist is a myth. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Narcissism subscribers-only
a The Breakfast That Boosts Weight Loss By 65% By www.spring.org.uk Published On :: Wed, 06 May 2020 15:00:07 +0000 The food lowers cravings for high-sugar and high-fat foods and suppresses appetite during the day. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Weight Loss
a What Loneliness Does To Your Immune System (M) By www.spring.org.uk Published On :: Wed, 06 May 2020 15:30:08 +0000 Five natural ways to boost the immune system. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Loneliness subscribers-only
a COVID-19: Study Reveals A More Accurate Test By www.spring.org.uk Published On :: Thu, 07 May 2020 15:00:16 +0000 A better method for COVID-19 testing than nasal swabs. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article COVID19
a The Music That Boosts Learning By 18% (M) By www.spring.org.uk Published On :: Thu, 07 May 2020 15:30:29 +0000 Three classical pieces that boost memory retention. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Learning subscribers-only
a The Popular Foods That Lower Your IQ By www.spring.org.uk Published On :: Fri, 08 May 2020 15:00:18 +0000 Two-thirds of children report eating this food weekly. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Intelligence
a Stress Has Risen In This Age Group More Than Any Other (M) By www.spring.org.uk Published On :: Fri, 08 May 2020 15:30:14 +0000 Even before the pandemic, this age group were reporting record levels of levels. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Stress subscribers-only
a The Best Material For A Homemade COVID-19 Mask By www.spring.org.uk Published On :: Sat, 09 May 2020 15:00:21 +0000 The best type of fabric for a breathable but effective COVID-19 mask. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article COVID19
a Cuddling: The Amazing Effect On Your Brain By www.spring.org.uk Published On :: Sat, 09 May 2020 15:30:14 +0000 For the study, 10 couples spent 45 minutes inside a brain scanner together in close physical contact. → Support PsyBlog for just $5 per month. Enables access to articles marked (M) and removes ads. → Explore PsyBlog's ebooks, all written by Dr Jeremy Dean: Accept Yourself: How to feel a profound sense of warmth and self-compassion The Anxiety Plan: 42 Strategies For Worry, Phobias, OCD and Panic Spark: 17 Steps That Will Boost Your Motivation For Anything Activate: How To Find Joy Again By Changing What You Do Full Article Relationships
a How Technology Is Improving Safety On the Roads and Reducing Driving Anxiety By feedproxy.google.com Published On :: Wed, 22 Jan 2020 03:24:56 +0000 Technology has changed a number of aspects of our everyday lives and has led to increased efficiency. But when it comes to driving, has it helped or hindered the process? In this article, we will be looking into some of the ways that technology has improved safety on our roads in the last 10 years. […] Full Article Abnormal Psychology car safety driving anxiety driving phobia mental health driving newsnow
a 4 Ways Therapists Assist People with Mental Health Issues By feedproxy.google.com Published On :: Sat, 01 Feb 2020 02:19:15 +0000 One of the primary reasons people seek therapy is to get help with mental health issues. Some of the more common mental disorders affecting individuals today include depression, anxiety, post traumatic stress (PTSD), phobias, addiction, and attention deficit hyperactivity (ADHD). Depending on the type and intensity of your issue, your therapist may adjust his treatment […] Full Article Abnormal Psychology benefits of therapy depression help help with anxiety newsnow therapy benefits
a Can CBD Help Your Mental Health? By feedproxy.google.com Published On :: Wed, 12 Feb 2020 21:42:36 +0000 These days, there is huge hype around cannabidiol (also known as CBD), and for good reason. There are numerous health benefits that are linked to this non-psychoactive all-natural substance. Many people report that CBD has helped them to manage mental and emotional distress. But are those reports true? Can CBD help your mental health? In […] Full Article Abnormal Psychology Biopsychology CBD for anxiety CBD for depression CBD for mental health natural anxiety treatment natural depression treatment newsnow
a How to Mentally Prepare for a Synchro Swimming Competition By feedproxy.google.com Published On :: Fri, 21 Feb 2020 03:23:42 +0000 Some people have the misguided belief that synchronized swimming is just an easy sport performed in beautiful swim team suits. That it’s merely dancing in the water that you can tune in to watch during the Olympic Games. But that is far from true; there is much more to the sport. Synchro is a dominant […] Full Article Cognitive Psychology mental strength synchronized swimming newsnow swim team suits
a Is Addiction Hereditary? By feedproxy.google.com Published On :: Thu, 26 Mar 2020 17:17:17 +0000 Addiction is a major health problem, both mentally and physically. In fact, it is probably one of the most complicated illnesses to deal with because it is has to be dealt with on both a physical and psychological level. Approximately one in eight adults struggle with drug and alcohol addiction at the same time and […] Full Article Abnormal Psychology Definitions addiction genes alcohol addiction drug addiction treatment newsnow what is addiction
