Question

Define tautology. Verify the following is tautology or not $p(\wedge \sim q) \vee ( \sim p \wedge q)$ .

Answer 1

Heya mate ...Tautology. A tautology is a logical statement in which the conclusion is equivalent to the premise. More colloquially, it is formula in propositional calculus which is always true (Simpson 1992, p. 2015; D'Angelo and West 2000, p. 33; Bronshtein and Semendyayev 2004, p. 288). If is a tautology, it is written .

If you are given a statement and want to determine if it is a tautology, then all you need to do is construct a truth table for the statement and look at the truth values in the final column. If all of the values are T (for true), then the statement is a tautology...

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