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Induction. Inductive arguments increase the strength of your belief in some fact –Inductive arguments are not truth-preserving What sorts of factors should.

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Presentation on theme: "Induction. Inductive arguments increase the strength of your belief in some fact –Inductive arguments are not truth-preserving What sorts of factors should."— Presentation transcript:

1 Induction

2 Inductive arguments increase the strength of your belief in some fact –Inductive arguments are not truth-preserving What sorts of factors should increase your confidence in some fact?

3 Justifications Inductive arguments influence degree of belief Must keep track of why we believe certain facts –AI has a field of truth maintenance –Gilbert Facts are believed to be true by default They must be specifically marked as false –There is a persistence of false-beliefs Johnson & Seifert Information continued to influence people’s beliefs unless they were given a specific reason why it was false.

4 Coherence A coherent story makes beliefs stronger Pennington & Hastie –Story model of jury decision making

5 Category-based induction

6 Our category structures help us predict. Bears have glutamate in their brains How likely is it that deer have glutamate in their brains? How can you answer this question? –What if you know nothing about the property? These are called blank predicates –What if you do have some relevant knowledge?

7 Induction with blank predicates When we know nothing about the property, we rely in similarities among categories Bears have X Horses have X StrongerWeaker Bears have X Birds have X Similarity Bears have X Horses have X Lizards have X Bears have X Birds have X Lizards have X Diversity Bears have X Mammals have X Prairie Dogs have X Mammals have X Typicality

8 Similarity and coverage Why are these effects obtained? –Osherson, Smith, and colleagues Similarity-coverage model –The more similar the premise categories to the conclusion, the stronger the argument –The better the premise categories cover the category contained by the conclusion, the stronger the argument.

9 What about non-blank predicates? Sometimes we know a little bit about the properties –How does that affect induction? Heit and Rubinstein –Behavioral and morphological properties –Behavioral and morphological similarity StrongerWeaker Dolphins have antifreeze in their blood______________ Sharks have antifreeze... Foxes have antifreeze in their blood_____________ Sharks have antifreeze... Foxes are good trackers Sharks are good trackers Dolphins are good trackers Sharks are good trackers

10 What if you know a lot? Experts act differently than novices –Similarity becomes far less important –Causal reasoning based on domain knowledge Premise diversity effects disappear in experts White Pines get Disease X Weeping Willows get Disease X All Trees get Disease X River Birch get Disease Y Paper Birch get Disease Y All Trees get Disease Y College students prefer argument on left –Consistent with diversity Tree experts prefer argument on right –Consistent with their causal reasoning.

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