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The Raven Paradox
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1)DeeDee said she locked the door. 2)If (1), she locked the door. 3)DeeDee locked the door.
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1)DeeDee said she locked the door. 2)DeeDee locked the door.
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A generalization is a statement of the form All Fs are G.
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All dogs are mammals.
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All water molecules are such that they include oxygen.
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All bodies are such that they attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
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The Scientific Method: a. observe b. hypothesize c. predict d. test e. draw conclusion
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Nicod’s Criterion: (a) A generalization is confirmed (to some degree) by an F that is G. (b) A generalization is disproved by an F that is not G. (c) A generalization is neither confirmed nor disproved by non-Fs that are not G or by non-Fs that are G.
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All dogs are mammals.
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All non-mammals are non-dogs.
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All insects are non-vertebrates.
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All non-prescription drugs are habit forming.
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1.Every dog has its day. 2.All non-essentials have to be thrown overboard. 3.All non-transitive relations are non-equivalence relations.
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Contraposition: All Fs are G is logically equivalent to All non-Gs are non-Fs. Equivalence: Logically equivalent statements are confirmed (or disproved) by the same things.
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The Raven Paradox 1)A red herring confirms that all non-black things are non-ravens. 2)The hypothesis that all non-black things are non-ravens is logically equivalent to the hypothesis that all ravens are black. 3)If (1) and (2), then a red herring confirms that all ravens are black. 4)A red herring confirms that all ravens are black.
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