Lecture 1/16/08

Lecture 1/16/08 - F F F o Inclusive OR (example 1---lotto...

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PHIL 10 – 1/16/08 Truth Functions, Evaluating compound statements A function is something that takes inputs and produces outputs A function can be defined in terms of it’s entire input-output structure Truth Functions Truth functions are functions that take truth values as inputs, and produce truth values as outputs There are two truth values: o True o False The statement operators that form compound statements (conjunctions, negation, etc.) symbolize truth functions Conjunction o I left you my house and I left you my car (H C) H C H C T T T T F F F T F F F F Negation o I am not married P ~P T F F T Disjunction o Either shelly won the lotto, or shelly got a big inheritance L I L v I T T T T F T F T T F F F o ‘Or’ in English can express two different truth functions You can have soup or salad S A S v A T T F F T T T F T
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Unformatted text preview: F F F o Inclusive OR (example 1---lotto or inheritance) o Exclusive OR (example 2----soup or salad) Conditional o If you turn in all the homework, then Ill give you an A in the class H A H A T T T T F F F T T F F T Biconditional o If you give a P if and only if you earn a C- or better P C P C T T T T F F F T F F F T Categorizing Statements o Statements that are always true are tautologies o Statements that are always false are contradictions o Statements that can be either true or false are contingencies o By definition, simple statements are contingencies: they can be either true or false. This does not mean that all compound statements are contingencies though. P v ~P o...
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This note was uploaded on 04/09/2008 for the course PHIL 10 taught by Professor Churchland during the Spring '08 term at UCSD.

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Lecture 1/16/08 - F F F o Inclusive OR (example 1---lotto...

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