1-24-07, Lecture 03

1-24-07, Lecture 03 - PHIL V3411 / PHIL G4415 Introduction...

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Unformatted text preview: PHIL V3411 / PHIL G4415 Introduction to Symbolic Logic Lecture 3 Sentential Logic: The Conjunction Connective The Conjunction Connective (Section 2.1.2) ! For every pair of sentences A and B there is another sentence called the conjunction of A and B . ! English: A and B ! ! left conjunct right conjunct ! Symbolization: A " B ! Semantics: A " B is T if both A and B are T ; otherwise A " B is F Truth table : A B A " B T T T T F F F T F F F F ! Note: the order of the conjuncts makes no difference to the truth- value of the conjunction: Principle of Commutativity : A " B has the same truth-value as B " A (though they are different sentential expressions) Repeated Applications and Grouping ! Since the conjunction of two sentences is itself a sentence, it can be conjoined with any other sentence. The conjunction of A " B and C : ( A " B ) " C The conjunction of A and B " C : A " ( B " C ) Parentheses are used to distinguish the two sentences....
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1-24-07, Lecture 03 - PHIL V3411 / PHIL G4415 Introduction...

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