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Gaps between Logical Theory and Mathematical Practice

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Part of the book series: Theory and Decision Library ((TDLU,volume 3))

Abstract

Mathematical practice seems to presuppose what Church has called an underlying logic. Mathematical logic proceeds in strict analogy with mathematical physics where mathematical models of physical systems are constructed and studied. Mathematical logic constructs models of underlying logics. This paper focuses on mismatches between currently accepted models and the underlying logics.

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© 1973 D. Reidel Publishing Company, Dordrecht-Holland

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Corcoran, J. (1973). Gaps between Logical Theory and Mathematical Practice. In: Bunge, M. (eds) The Methodological Unity of Science. Theory and Decision Library, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2667-3_3

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  • DOI: https://doi.org/10.1007/978-94-010-2667-3_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-277-0404-7

  • Online ISBN: 978-94-010-2667-3

  • eBook Packages: Springer Book Archive

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