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The Continuum in Smooth Infinitesimal Analysis

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Part of the book series: Synthese Library ((SYLI,volume 306))

Abstract

In this paper an investigation is made of the properties of the continuum in smooth infinitesimal analysis: it is shown that it differs in certain important respects from its counterpart in constructive analysis.

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References

  1. Bell, J.L., A Primer of Infinitesimal Analysis. Cambridge University Press, 1998.

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  2. Bridges, D.S., Constructive mathematics: a foundation for computable analysis. Theoretical Computer Science 219 (1999), 95–109.

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  4. McLarty, C., Elementary Categories, Elementary Toposes. Oxford University Press, 1992.

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  5. van Dalen, D., How connected is the intuitionistic continuum? Journal of Symbolic Logic 62 (1997), 1147–1150.

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© 2001 Springer Science+Business Media Dordrecht

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Bell, J.L. (2001). The Continuum in Smooth Infinitesimal Analysis. In: Schuster, P., Berger, U., Osswald, H. (eds) Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum. Synthese Library, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9757-9_2

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  • DOI: https://doi.org/10.1007/978-94-015-9757-9_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5885-0

  • Online ISBN: 978-94-015-9757-9

  • eBook Packages: Springer Book Archive

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