LPL_4.2_lecture

LPL_4.2_lecture - Logical and tautological equivalence In...

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Logical and tautological equivalence In the last chapter we discussed the notion of logical equivalence. We say that two sentences are logically equivalent when they have the same truth values in every possible circumstance. In this chapter, we want to discuss tautological equivalence, which is a certain type of logical equivalence. Two sentences are tautologically equivalent if they can be seen to be equivalent simply in virtue of the meanings of the truth-functional connectives. We can check for tautological equivalence using truth tables. Suppose we want to know if two sentences are tautologically equivalent. We need to construct a truth table with reference columns for each atomic sentence that appears in our two sentences. Then, to the right of the reference columns we need to place the two sentences in question. Once the truth table is complete, we check for tautological equivalence by looking to the columns under the main connectives in each of the two sentences.
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This note was uploaded on 06/06/2011 for the course PHIL 110 taught by Professor ? during the Fall '06 term at South Carolina.

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LPL_4.2_lecture - Logical and tautological equivalence In...

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