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What are numbers?

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References

  1. Aristotle: 1976, Metaphysics (Books M and N), trans. Julia Annas (Clarendon Press, Oxford).

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  2. Brouwer, L. E. J.: 1964, ‘Intuitionism and formalism’ translated in Benacerraf and Putnam, Philosophy of Mathematics, Selected Readings (Prentice-Hall, Englewood Cliffs, New Jersey).

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  3. Euclid: 1956, Elements, trans. T. L. Heath (Dover, New York).

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  4. Heath, T. L.: 1921, A History of Greek Mathematics (Clarendon, Oxford).

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  5. Newton, Isaac: 1967, Universal Arithmetic or, A Treatise of Arithmetical Composition and Resolution, reprinted in D. T. Whiteside: The Mathematical Works of Isaac Newton, Volume 2 (Johnson Reprint Corporation, London).

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  6. Zermelo, E.: ‘Sur les ensembles finis et le principle de l'induction complðe’, Acta Mathematica 32, pp. 185–193.

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Authors and Affiliations

  1. School of Mathematics, University of Bristol, BS8 1RJ, Bristol, UK

    John Mayberry

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  1. John Mayberry
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Mayberry, J. What are numbers?. Philos Stud 54, 317–354 (1988). https://doi.org/10.1007/BF00646274

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