Logic is primarily about consistency - but not all types of consistency. For example if a man supports Arsenal one day and supports Spurs the next then he is fickle, but not necessarily illogical. The type of consistency which concerns logicians is not loyalty or justice or sincerity but compatibility of beliefs. Logic, therefore, involves studying the situations in which a sentence is true or valid and subsequently the rules which determine the validity or otherwise of a given argument.

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Wilfrid Hodges is a professor of mathematics at Queen Mary and Westfield College, University of London. He has held visiting appointments in the US.

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Logic: An Introduction to Elementary Logic

Hodges, Wilfrid

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