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PHILOSOPHY 104 9.2 Notes
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SOME DEFINITIONS: Necessary: When A is a necessary condition for B, that means that condition A must be fulfilled before condition B can obtain, but that fulfilling condition A may not be by itself enough to fulfill condition B. Sufficient: When A is sufficient for B, that means that all you need for B to obtain is for condition A to be fulfilled. However, condition B might still obtain without condition A being fulfilled.
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THE CONDITIONAL Conditional statements are called conditionals because they assert necessary and sufficient conditions. In any given true conditional, the antecedent is a sufficient condition for the consequent, while the consequent is a necessary condition for the antecedent. S N
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TESTING NECESSARY AND SUFFICIENT CONDITIONS: There are two tests for necessary and sufficient conditions: The conceptual test: formulate the conditions as a conditional statement in the appropriate way. True conditionals reveal what is a condition for what, while false conditionals reveal what isn’t a condition for what. The empirical test: The SCT and NCT of future slides.
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THE NECESSARY CONDITION TEST (NCT) Some feature F is a necessary condition for having feature G if and only if anything that lacks feature F also lacks feature G Any feature F that is absent when G is present is eliminated as a possible necessary condition of G.
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THE SUFFICIENT CONDITION TEST (SCT) Some feature F is a sufficient condition for having feature G if and only if anything that has feature F also has feature G So, any feature F that is present when G is absent is eliminated as a possible sufficient condition of G
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THE JOINT TEST A factor is necessary and sufficient in the case that it does not fail either NCT or SCT
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RIGOROUS TESTING If you’re looking for candidates for causal factors, make sure that you have enough examples of each feature’s presence and absence This is to rule out coincidence
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