The integers mod 5 (i.e., Z5) form a Boolean algebra, where - addition and multiplication are the usual addition and multiplication mod 5, - the complement of æ is i = 5 – x, - the "0" element is 0, - and the "1" element is 5. For reference, these are the addition and multiplication tables in Z5: 1 2 0 0 + 0 1 2 3 4 3 4 1 2 3 4 1 1 3 4 1 1 3 4 2 3 4 0 1 4 1 3 3 3 4 1 2 3 3 1 4 4 4 1 2 3 4 4 3 1 O True O False

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.