LPL 7.1-7.2 lecture

# LPL 7.1-7.2 lecture - Conditionals There are more ways to...

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Conditionals There are more ways to combine atomic sentences than can be handled by the Boolean connectives. Boolean connectives allow us to construct the following sentences: Max is home and Claire is at the library. Max is home or Claire is at the library. But we need new connectives to allow us to construct the following sentences: Max is home if Claire is at the library. Max is home only if Claire is at the library. Max is home if and only if Claire is at the library. Material conditional symbol: The material conditional symbol is roughly equivalent to the English expression if…then… . When two sentences P and Q are joined by the material conditional symbol to form the sentence P Q, such a sentence will have the English translation if P then Q. In this construction, P is said to be the antecedent and Q is said to be the consequent . Like the Boolean connectives, the material conditional is a truth-functional connective whose truth-functional definition can be demonstrated by the following truth table:

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## This note was uploaded on 02/10/2011 for the course PHIL 110 taught by Professor ? during the Spring '06 term at South Carolina.

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LPL 7.1-7.2 lecture - Conditionals There are more ways to...

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