Wittgenstein's threefold view on proofs

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Sammanfattning

In his remarks on the philosophy of mathematics, Wittgenstein emphasizes three aspects of proofs: (1) that proofs contribute to the meaning of the concepts involved in theorems, (2) that there is a fundamental difference between proofs and experiments, and (3) that proofs must be surveyable. He sees these aspects as inseparable from each other and as features of the grammar of proofs. This paper illuminates Wittgenstein’s view on mathematical proofs by discussing these three aspects of proofs and by considering how a specific proof – of the Bolzano Weierstrass theorem – exhibits them.
OriginalspråkEngelska
Titel på värdpublikationPhilosophy of logic and mathematics
Undertitel på värdpublikationContributions to the 41st international Wittgenstein symposium
RedaktörerGabriele M. Mras, Paul Weingartner, Bernhard Ritter
UtgivningsortKirchberg am Wechsel
FörlagAustian Ludwig Wittgenstein Society (ALWS)
Sidor21-23
Antal sidor3
StatusPublicerad - 2018
MoE-publikationstypA4 Artikel i en konferenspublikation

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