Aristotle and the Paradoxes of Logic
Library Home || Full Table of Contents || Suggest a Link || Library Help
|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.|
The Math Forum is a research and educational enterprise of the Drexel University School of Education.