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Figure 7-1. Each card has a letter on one side and a number on the reverse
Many people turn over A and 2but that's not quite right. While turning over A will tell you whether "one side" of the rule is true (if vowel, then even number), turning over 2 won't tell you any more. It doesn't matter whether 2 has a K or an A on its reversethe rules doesn't specify either being true. Along with A, the other card you need to turn over is 7. If 7 has an A on its reverse, then the rule is disproved no matter what the A has on its reverse. You need to turn over A and 7. Very few people solve this riddle on the first try. It shows that humans do not possess an innate set of abstract logic rules. Yet somehow we manage to get by without those rules. Try this similar puzzle, in Figure 7-2. Figure 7-2. Four people sit at a bar drinking beer or cola, the cards show age on one side and beverage on the otherwho's breaking the rules?
Say there's a rule that you must be over 21 to drink beer. Whose drinks and ages would you need to check to see if this bar is flouting the rules? By simply swapping drinks and ages for cards A, K, 2, and 7, it's obvious this time around that there's no point checking what the 21 year old (think 2 card) is drinkingit wouldn't make any difference to the rule if she were drinking cola or beer, whereas the 16 year old's (think 7 card) drink is of much more interest. How It Works Why are logic problems so much easier when they're expressed as real-life situations rather than in abstract terms? One early hypothesis called memory cuing proposed that we solve logic problems by drawing on personal experience, without using any deductive reasoning. We've all experienced the problems of drinking ages enough times that we don't even have to think about who should be drinking what, unlike playing with letter and number cards. Despite the substantial evidence behind memory cuing,2,3 many scientists believe that in practice we use more than just experiencethat there is in fact some thinking involved. Instead, researchers such as Cheng and Holyoak4 think that, while we might not be so good at pure logic, we're excellent at the logic we need in real liferules, permissions, and obligations. This type of logicdeontic logicis what helps us solve everyday logic problems, by developing what they call "pragmatic reasoning schemas." Therefore, it shouldn't be surprising that our ability with logic is domain-specific, that is, limited to analyzing the complex web of permissions and obligations we encounter in life. It's been suggested by Cosmides,5 a leading light of evolutionary psychology (the study of how evolution may have shaped the way we think6), that the reason we seem to possess domain-specific logic is because it's been selected for by evolution over countless generations. Cosmides argues that the really important parts of Cheng and Holyoak's pragmatic reasoning schemas are those about people. In other words, we are all born with the mental logic required to understand the costs, benefits, and social contracts involved in dealing with other people. It's a compelling argument, since the ability to make beneficial deals is a valuable survival trait. However, Cosmides' theory can't be the whole story, since we have no problem in solving many logic problems that have nothing to do with costs, benefits, or indeed other people at all. For example, the rule "If you're going to clean up spilt blood, then you need to wear rubber gloves" is easily understood and applied even though it doesn't concern other people. Before resigning yourself to a life without logic, it's worth remembering that along with the countless other skills that we aren't born with, we can understand logic the hard wayby learning it. Even if you don't, you can still console yourself with the knowledge that you're as good as any philosopher in the everyday logic that really matters. End Notes 1. Syllogisms: some C are B, no A is B, therefore some C are not A. Deductive: reasoning in which the conclusion necessarily follows from true premises (e.g., if X, then Y). Inductive: the sort of reasoning that Sherlock Holmes might use, in which he draws a conclusion (which might be wrong) based on possibly incomplete or irrelevant information. 2. Johnson-Laird, P. N., Legrenzi, P., & Sonino-Legrenzi, M. (1972). Reasoning and a sense of reality. British Journal of Psychology, 63, 395-400. 3. Manktelow, R. I., & Evans, J. St. B. T. (1979). Facilitation of reasoning by realism: Effect or non-effect? British Journal of Psychology, 70, 477-488. 4. Cheng, P. W., & Holyoak, K. J. (1985). Pragmatic reasoning schemas. Cognitive Psychology, 17, 391-416. 5. Cosmides, L. (1989). The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason Selection task. Cognition, 31, 187-276. 6. Evolutionary psychology is the study of how evolution may have shaped the way we think, and often controversial. "Evolutionary Psychology: a Primer" (http://www.psych.ucsb.edu/research/cep/primer.html), by Leda Cosmides and John Tooby, provides an introduction. Adrian Hon |
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Hack 73. Fool Others into Feeling Better
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Hack 74. Maintain the Status Quo
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Chapter 8. Togetherness
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8.1. Hacks 75-80 What makes "this" a word, rather than being simply the adjacently written letters t, h, i, s? Or, to ask a similar question, why should we see a single dog running across a field rather than a collection of legs, ears, hair, and a wet nose flying over the grass? And why, when the dog knocks us over, do we know to blame the dog? To put these questions another way: how do we group sensations into whole objects, and how do we decide that a certain set of perceptions constitutes cause and effect? It's not a terribly easy problem to solve. The nature of causality isn't transmitted in an easy-to-sense form like color is in light. Rather than sense it directly, we have to gues. We have built-in heuristics to do just that, and these heuristics are based on various forms of togetherness. The word "this" hangs together well because the letters are in a straight line, for example, and they're closer to one another than the letters in the surrounding words. Those are both principles by which the brain performs grouping. To take the second question, we see the parts of the dog as a single animal because they move together. That's another heuristic. This recognition acuity lets us see human forms from the tiniest of clues, but it alsoas we'll see in [Hack #77] is not perfect and can be duped. We'll see how we can perceive animacythe aliveness shown by living creatureswhere none exists and how we can ignore the cause in cause and effect. Sometimes that's the best way to find out what our assumptions really are, to see when they don't quite match what's happening in the real world. |
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Hack 75. Grasp the Gestalt
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Hack 76. To Be Noticed, Synchronize in Time
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Hack 77. See a Person in Moving Lights
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Date: 2015-12-11; view: 832
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