Abstract
The future dimensions of mathematical progress are probably harder to forecast than philosophy sometimes presumed. An unblinking trust in the notion of a possible structure has persuaded many philosophers that mathematics’ future can be outlined definitely enough to be broadly characterizable as “the science of all possible structures.” I believe that such a picture usually ignores some basic questions about mathematics’ capabilities.
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References
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Wilson, M. (2000). On the Mathematics of Spilt Milk. In: Grosholz, E., Breger, H. (eds) The Growth of Mathematical Knowledge. Synthese Library, vol 289. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9558-2_11
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DOI: https://doi.org/10.1007/978-94-015-9558-2_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5391-6
Online ISBN: 978-94-015-9558-2
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