PHIL 2100 Lecture Notes - Lecture 7: Modus Ponens, Modus Tollens, Fallacy

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Ch 1: the logic of negations and conditionals (not & if) An argument is valid if it is impossible for its premises to be true and its conclusion false. It is not the case that is the negation of a sentence; represented by : antecedent is introduced by the word if , consequent introduced by the word then". Arrow symbol ( ) accompanied by a pair of parentheses adopted as abbreviation for if then : used for conditional sentences. Capital letters p through z are adopted as abbreviations for english sentences: may also use any variant of these letters by adding a numerical subscript (i. e p1) Exclusively declarative sentences; sentences that are capable of truth or falsehood. Collection of abbreviations such that no two are represented by the same sentence letter. Sentence letters - symbols of this language; capital letters p through z with/without numerical subscripts.

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