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Journal of the ACMS 2004 Inaugural Issue
Recent Problems in the Foundations of Mathematics This paper provides an introductory discussion of consistency and completeness. It discusses the importance of assigning meanings to primitives and how extra-math assumptions enter the selection of a model for Peano’s axioms. It also provides an extended discussion of the strengths and weaknesses of intuitionism. It concludes with a brief sketch of some areas in which a Christian perspective might interact with some issues in mathematics.
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