Physics is formulated in terms of timeless, axiomatic mathematics. A formulation on the basis of intuitionist mathematics, built on time-evolving processes, would offer a perspective that is closer to our experience of physical reality.
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Change history
16 January 2020
A Correction to this paper has been published: https://doi.org/10.1038/s41567-020-0794-z
References
Weyl, H. The Continuum (Dover, 1994).
Gödel, K. Collected Works Vol. IV (eds Feferman, S. et al.) p. 269 (Oxford Univ. Press, 1995).
Dolev, Y. Eur. J. Philos. Sci. 8, 455–469 (2018).
Darbour, J. The End of Time (Oxford Univ. Press, 2001).
Gisin, N. Erkenntnis https://doi.org/10.1007/s10670-019-00165-8 (2019).
Posy, C. J. J. Philos. Logic 5, 91–132 (1976).
Posy, C. J. Mathematical Intuitionism (Cambridge Univ. Press, in the press).
Hilbert, D. in Philosophy of Mathematics (eds Benacerraf, P. & Putnam, H.) 183–201 (Cambridge Univ. Press, 1984).
Ellis, G. F. R., Meissner, K. A. & Nicolai, H. Nat. Phys. 14, 770–772 (2018).
Born, M. Physics in My Generation (Springer, 1969).
Dowek, G. in Computer Science – Theory and Applications (eds Bulatov, A. A. & Shur, A. M.) 347–353 (Springer, 2013).
Chaitin, G. in Meta Math! Ch. 5 (Vintage, 2008).
Chatin, G. J. Preprint at https://arxiv.org/abs/math/0411418 (2004).
Borel, E. in From Brouwer to Hilbert (ed. Mancosu, P.) 296–300 (Oxford Univ. Press, 1998).
Iemhoff, R. Intuitionism in the philosophy of mathematics. Stanford Encyclopedia of Philosophy (Summer 2019 Edition) https://go.nature.com/2E99Hqe (2019).
Gisin, N. Quantum Stud.: Math. Found. https://doi.org/10.1007/s40509-019-00211-8 (2019).
Palmer, T. N. Nat. Rev. Phys. 1, 463–471 (2019).
van Dalen, D. L.E.J. Brouwer – Topologist, Intuitionalist, Philosopher (Springer, 2013).
Brouwer, L. E. J. in Proc. 10th International Congress of Philosophy, vol. III (North-Holland, 1949).
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Gisin, N. Mathematical languages shape our understanding of time in physics. Nat. Phys. 16, 114–116 (2020). https://doi.org/10.1038/s41567-019-0748-5
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DOI: https://doi.org/10.1038/s41567-019-0748-5
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