PHL 101 Lecture Notes - Lecture 12: False Premise, Dialetheism, Syllogism

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9 Jun 2020
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Paradox=apparently unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Premises of an argument are apparently acceptable if only if they are apparently true. The conclusion of an argument is apparently unacceptable if and only if it is apparently false. The reasoning involved in an argument is apparently acceptable if and only if its apparently valid. So: a paradox is an argument which has the following 3 features: it premises appear to be true, its conclusion appears to be false, it appears to be valid. Why use appears to and apparently in describing paradoxes. Because it"s impossible for there to be such an argument. Its impossible for there to be a valid argument which has true premises and a false conclusion. A paradox is problematic because it seems to be an example of an impossible argument. So at least one of the three appearances catalogued above must be misleading. Type 2: when reason itself leads to a contradiction.

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