Abstract
Earlier results on climinating numerical objects from physical theories are extended to results on eliminating geometrical objects.
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References
J. Burgess, “Synthetic Mechanics”, Journal of Philosophical Logic, vol. 13 (1984), pp. 379–395.
H. Field, Science Without Numbers: A Defence of Nominalism, Princeton, University Press, 1980.
H. Field, “Can We Dispense with Space-Time?” in P. Asquith & P. Kitcher, eds., PSA 1984: Proceedings of the 1984 Biennial Meeting of the Philosophy of Science Association, vol. 2 (1985), pp. 33–90; also in H. Field, Realism, Mathematics and Modality, Oxford, Basil Blackwell, 1989, pp. 171–226.
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Burgess, J.P. Synthetic mechanics revisited. J Philos Logic 20, 121–130 (1991). https://doi.org/10.1007/BF00284971
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DOI: https://doi.org/10.1007/BF00284971