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Journal of the ACMS
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Journal of the ACMS 2004 Inaugural Issue
A Comparative Study of Christian Mathematical Realism
and its Humanistic Alternatives This paper addresses the growing popularity of views of mathematics that see it primarily as a social entity and that reject Platonism. It contrasts two Christian realist philosophies – those of Alvin Plantinga and Vernon Poythress – with the secular perspective of Philip Davis and Reuben Hersch. It affirms the insight of Davis and Hersch that mathematics is indeed a social entity. However, it argues that belief in God enables a fuller understanding of mathematics – one that accounts for the apparent transcendence of mathematics and its power to explain concepts in the physical world.
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