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Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition

ANDERSON NAKANO et al · UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência · 2026

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Author / responsible party
ANDERSON NAKANO et al
Publisher
UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência
Year
2026
ISSN
2317-630X
ISSN
2317-630X
Language
English

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Abstract In the Remarks on the Foundations of Mathematics, Wittgenstein discusses in detail the significance of the Gödelian “true but unprovable” proposition. Despite the negative reviews of early commentators, there have been recent attempts to provide a more positive assessment of these remarks. However, no consensus has emerged. Based on an analysis of Wittgenstein’s distinction between proof and prose and its connections with his views on indirect and inductive proofs, we approach this issue afresh, and provide a reading which not only brings to light these pivotal aspects, but shows how they are necessary for an accurate exegesis of the text and clarifies the relationship between Wittgenstein’s commentaries and Gödel’s incompleteness proof.

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APA 7

al, A. N. E. (2026). Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition. https://doi.org/10.1590/0100-6045.2025.v48n3.a

MLA

al, ANDERSON NAKANO et. "Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition." 2026. https://doi.org/10.1590/0100-6045.2025.v48n3.a.

Chicago

al, ANDERSON NAKANO et. 2026. "Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition.". https://doi.org/10.1590/0100-6045.2025.v48n3.a.

Harvard

al, A. N. E. 2026, Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition, UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência, available at: https://doi.org/10.1590/0100-6045.2025.v48n3.a [Accessed 9 Aug. 2026].

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Title
Wittgenstein’s remarks on the Gödelian “true but unprovable” proposition
Author / contributors
ANDERSON NAKANO et al
Publisher
UNICAMP - Universidade Estadual de Campinas, Centro de Lógica, Epistemologia e História da Ciência
Publication year
2026
ISSN
2317-630X
ISSN
2317-630X
Language
English

Subjects

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Wittgenstein; Gödel’s sentence; Inductive proofs; Indirect proofs
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