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Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma May 1987

Logic And Proof For Mathematicians: A Twentieth Century Perspective, Calvin Jongsma

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If there is one aspect of mathematics education that frustrates both students and teachers alike, it has got to be learning how to do valid proofs. Students often feel they really know the mathematics they're studying but that their teachers place some unreasonably stringent demands upon their arguments. Teachers, on the other hand, can't understand where their students get some of the wacky arguments they come up with. They argue in circles, they end up proving a different result from what they claim, they make false statements, they draw invalid inferences - it can be quite exasperating at times! Unfortunately, …


Christianity And Mathematics, Calvin Jongsma Jan 1987

Christianity And Mathematics, Calvin Jongsma

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Recent decades have witnessed the growth of a rather remarkable phenomenon: Christian mathematicians discussing the integration of their Christian faith with their mathematical work. This cannot be a totally new turn of events; Christian mathematicians have probably always reflected on this issue to some extent. But the increased number of articles and talks dealing with this matter in the past two decades indicates a new current of thought at work, particularly among Evangelical Protestant Christians. Actually, it would be more accurate to put this observation in the plural, for the trend toward relating Christianity and mathematics is not a unified …