Die Grundlagen der Arithmetik
The Foundations of Arithmetic is a book by Gottlob Frege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist and materialist theories of number and develops his own platonist theory of numbers. The Grundlagen also helped to motivate Frege's later works in logicism.
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2010–2023years
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What Hacker News says
- I don't know the English translations, but Frege's "Die Grundlagen der Arithmetik" are a fascinating piece if one would like to know how modern philosophy of mathematics started and which questions one might ask about mathematics from a philosophical point of view. (https://en.m.wikipedia.org/wiki/The_Foundations_of_Arithmeti...)
- Most of the "eye-opening or incredibly interesting" philosophical material that I've read has been in individual articles rather than books. That said, here are a few favourites from various areas. It's a bit heavily weighted towards recent material; Kant and Plato ought to be on there, but I can't stand Kant as a writer, even if his ideas are profound, and Plato's style has always irritated me for some reason I can't quite put my finger on. I could probably keep tying titles all day, so I'll stop with those that first popped into my head.
Aristotle, Nicomachean Ethics
David Chalmers, The Conscious Mind: In Search of a Fundamental Theory
Gottlob Frege, Die Grundlagen der Arithmetik
Thomas Hobbes, Leviathan
David Hume, An Enquiry Concerning Human Understanding
J.S. Mill, On Liberty
John Rawls, A Theory of Justice
Stewart Shapiro, Philosophy of Mathematics: Structure and Ontology
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