Die Grundlagen der Arithmetik

Name: Die Grundlagen der Arithmetik
ISBN: 9780810100237

eine logisch mathematische Untersuchung über den Begriff der Zahl

by Gottlob Frege · first published 1884

3mentions

2recommended by

3HN commenters

2010–2023first – last mentioned

67% recommend33% neutral

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ionfish · Jul 10, 2010 · Recommends

…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
on “Ask HN: Best Philosophical Books?” ↗
pvitz · Jan 22, 2019 · Recommends

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...)
on “Structure of recent philosophy (2017)” ↗
downvotetruth · Sep 1, 2023 · Mentions

…reflective statements will necessarily be self-referential. The addition of negation leads to "vicious" self-reference. 'Gottlob Frege tried to give a foundation for mathematics (set theory) through his works “Die Grundlagen der Arithmetik (1884)” and “Grundgesetze der Arithmetik (1893,1903)”, the full abstraction principle was among his axioms. But in 1902 his system was shown to be inconsistent by Bertrand Russell.' See section 10 of…
on “Why Mathematical Proof Is a Social Compact” ↗