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Natural Numbers II

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Mathematical Intuition

Part of the book series: Synthese Library ((SYLI,volume 203))

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Abstract

In this chapter we shall discuss several matters about the construction process for natural numbers that have not yet been mentioned: first, alleged difficulties about the numbers 0 and 1; second, questions about constructions involving arithmetical functions, in particular ‘+’ and ‘.’, and the relation ‘=’. We shall then briefly summarize our account of the processes involved in fulfillments of intentions to small numbers and singular statements about them and move on to questions about large numbers and general statements about numbers.

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Notes

  1. E. Bishop, D. Bridges, New Foundations of Constructive Analysis [12], Chapter 1.

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  2. Parsons, Mathematics in Philosophy [107], p. 135, n. 25.

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© 1989 Kluwer Academic Publishers

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Tieszen, R.L. (1989). Natural Numbers II. In: Mathematical Intuition. Synthese Library, vol 203. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2293-8_6

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  • DOI: https://doi.org/10.1007/978-94-009-2293-8_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7529-9

  • Online ISBN: 978-94-009-2293-8

  • eBook Packages: Springer Book Archive

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