2 4 6 task You guess the secret rule 2 4 6 < yes, fit the secret rule 7 9 11 < yes, fits the rule Rule is ascending (increasing numbers)

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Presentation transcript:

2 4 6 task You guess the secret rule < yes, fit the secret rule < yes, fits the rule Rule is ascending (increasing numbers)

Another attempt < yes, fits the rule < no < no, do not fit the rule < no < yes < no < yes < no < no < no < yes ANSWER: positive numbers, increasing by 2 Exemplar = set of 3 numbers that you generate

Positive/ negative exemplars Your own hypothesis (H) E.g. H: numbers add to 12 Proposed exemplar: Exemplar fits H  “positive” exemplar E.g., if proposed exemplar: Exemplar doesn’t fit H  “negative” exemplar

expectations E.g. H: numbers add to 12 Proposed exemplar : Expectation  “no” response, doesn’t fit the rule If the response increases confidence in H, then it’s said to be “confirming”

Another expectation E.g. H: numbers add to 12 Proposed positive exemplar: E.g., he expected a “no” response because he had low confidence in H  then the hypothesis is “disconfirmed”

Heuristics for induction and hypothesis testing Rule-of-thumb: Not guaranteed to work, but more likely to get the answer –1) form general hypotheses (not specific ones) E.g. H: numbers increasing by 2 (specific) More general version  numbers increasing –2) form counterfactual hypotheses (i.e., opposing hypotheses)

More heuristics –2) form counterfactual hypotheses E.g. H: numbers increasing Counterfactual (opposing) H: numbers decreasing –3) use extreme examples (exemplars) E.g., exemplar : Extreme exemplar: -7 9,000 1 million –4) use multiple hypotheses Have at least 2 hypotheses in mind always Pick an exemplar that tells which hypothesis is right (discriminating between hypotheses)

More heuristics –5) seek disconfirming evidence  find exemplars that show your hypothesis is wrong Peoples’ natural inclination is to seek confirming evidence (confirmation bias)

Science as hypothesis testing We had H in task; in science, it’s called a “theory” We had exemplars in task; in science, they are “experimental results” In task, we compared the response (yes or no) with our hypothesis; in science, the scientist compares the results to the theory