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This philosophical approach to mathematics is still rooted in conceptions of mathematics from the beginning of the previous century, perhaps even earlier. This
by danharaj 7y ago
This philosophical approach to mathematics is still rooted in conceptions of mathematics from the beginning of the previous century, perhaps even earlier. This may very well be because professional philosophers have not really engaged with mathematics since then and so don't have the experience required to ascertain its current philosophical undercurrents. Even more, most mathematicians also understand the philosophy of mathematics from this outdated point of view, perhaps because most professional mathematicians have not engaged with philosophy since then.
For a philosophical exposition of recent mathematical activity, I don't think there's any book other than Synthetic Philosophy of Contemporary Mathematics by the mathematician Fernando Zalamea. The translation reads a little clumsy to me, but the ideas are very much worth it.
https://www.urbanomic.com/book/synthetic-philosophy-of-contemporary-mathematics/ https://www.urbanomic.com/book/synthetic-philosophy-of-conte...