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“Discovering Tautologies Logical symbols may be used in combination, which can help us calculate the truth condition of any logically complex sentences. For example, “p v ¬p”, which produces the following Truth Table:   When a formula only has T’s under it in a Truth Table, it means that it is true in all situations. The sentence “Either it is raining or it is not raining” cannot be false. Logicians call this a tautology. In a tautology, one truth follows from another of necessity only because of the logical syntax. So we know that any sentence with the same logical syntax will always be true. This”

Dan Cryan, Introducing Logic: A Graphic Guide
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Introducing Logic: A Graphic Guide Introducing Logic: A Graphic Guide by Bill Mayblin
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