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Are there any books on philosophy that make relatively heavy use of math? I'm not looking for anything on formal epistemology, logic, or philosophy of math. Two examples of books that fall in the category I'm interested in are Infinity Causation and Paradox by Alexaner Pruss and Philosophical Perspectives on Infinity by Graham Oppy. But I'd like to find something that isn't about paradoxes of infinity.

user236343
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  • Would you be interested in the attempts to derive morality from purely logical premises? – wizzwizz4 Jul 19 '22 at 20:50
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    sure, do you know of a book on that? – user236343 Jul 19 '22 at 20:53
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    I haven't read one, but I _think_ Spinoza did some of that. – wizzwizz4 Jul 19 '22 at 21:17
  • Two of my favorites from the turn of the last century are Frege, The Foundation of Arithmetic, and Whitehead, The Concept of Nature. One that I didn't care for but was highly regarded at the time is Carnap, The Logical Structure of the World. You can probably get them all online for free. Oops, just went back and read your question again. Frege is arguably philosophy of math. – David Gudeman Jul 19 '22 at 21:50
  • [Hofstadter, Gödel, Escher, Bach](https://www.physixfan.com/wp-content/files/GEBen.pdf), [Gangle, Diagrammatic Immanence: Category Theory and Philosophy](https://ndpr.nd.edu/reviews/diagrammatic-immanence-category-theory-and-philosophy/), [Corfield, Towards a Philosophy of Real Mathematics](https://www.semanticscholar.org/paper/TOWARDS-A-PHILOSOPHY-OF-REAL-MATHEMATICS-Davies/a05f56e1d6f1243582e0ccb39d8772e2bf6cc557), [Rickles, Quantum Gravity: A Primer for Philosophers](http://philsci-archive.pitt.edu/5387/). – Conifold Jul 20 '22 at 06:31
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    [Lakatos, Proofs and refutations](https://dl1.cuni.cz/pluginfile.php/730446/mod_resource/content/2/Imre%20Lakatos%3B%20Proofs%20and%20Refutations.pdf), [Steinhart, More Precisely: The Math You Need to Do Philosophy](https://www.pdfdrive.com/more-precisely-the-math-you-need-to-do-philosophy-e158262532.html). – Conifold Jul 20 '22 at 06:47
  • May I put in a word for Fernando Zalamea. https://www.amazon.com/Peirces-Logic-Continuity-Conceptual-Mathematical/dp/0983700494 and especially https://www.amazon.com/Synthetic-Philosophy-Contemporary-Mathematics-Fernando/dp/0956775012 He seems to be one of the few philosophers to understand modern (post-1950) mathematics rather than being stuck in the Frege-Russell era. – user4894 Aug 21 '22 at 22:32

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I guess you could try Being and Event by Badiou, it's regarded as a bit controversial by some, but influence of Badiou is constantly growing in modern philosophy(for instance in so called Speculative Realism). He is basically building ontology based on Set Theory there. I believe that without decent background in Set Theory this book is nearly impossible to comprehend.

ykes
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  • Badiou’s writing using mathematics and physics was criticized as being fundamentally flawed as addressed in “Fashionable Nonsense” by mathematician Alan Sokal. I, too, am a mathematician. Badiou’s use of mathematics illustrates a foundational lack of understanding of the subject. – Just Some Old Man Dec 19 '22 at 19:33