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Sentences that are always recoil true, regardless of the logical value of its components, called tautologies. We build a table called. zero-one and store all possible logical values of its components p, q, r, s, which may take the view independently. Then write the logical values of sentences, which make up the sentence studied. If the last column of the logical values of the test sentences are only ones, this sentence is a tautology. If the last column of the logical values of the test sentences are only zeros, this sentence is Kontrtautologią. If the last column of the logical values of the test sentences are ones or zeros, this sentence is not a tautology and is not Kontrtautologią.
Received in the last column only ones, therefore tested the sentence is a tautology. How to list all the possibilities figures of its components p, q, r, s? For this purpose you can use the tree or diagram that I presented in the table above.
In considering mathematical meet with sentences built from simple sentences affirmative or the negatives of these connected such expressions (conjunctions) as: and, or, if it; if and only if; true that. Expression call these conjunctions zdaniotwórczymi. Will be called simple sentences such statements, about which we can say that they are true (they have the logical value 1) or false (they have a logical value 0).
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