Aristotle and the Paradoxes of Logic
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|At about the same time that set theory began to influence other branches of mathematics, various contradictions, called paradoxes, were discovered. A paradox, however, is only due to a striking violation of at least one of Aristotle's laws of logic. The purpose of this paper is to provide tools in order to eliminate those contradictions. In section 1 a more adequate form is given to Aristotle's laws and several hitherto neglected operators in Boolean logic are introduced. Section 2 shows how easily logical paradoxes can be eliminated if one takes Aristotle's laws of logic into account.|
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