Our daily Platonism: lessons from a theory of pure finite sets

This paper defends – by detailed performances of theory-building – Platonism and logicism regarding pure finite sets (and thereby also regarding natural numbers), and it teaches how not to overestimate the consequences of Gödel’s incompleteness theorem for set-theoretical and arithmetical proof-certified knowledge.

Publication Details

Journal
OPUS (Augsburg University)
Published
2024-09-12
Primary Topic
Philosophy and Theoretical Science
Type
article
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article

Our daily Platonism: lessons from a theory of pure finite sets

OPUS (Augsburg University)
Philosophy and Theoretical Science
article

Our daily Platonism: lessons from a theory of pure finite sets

article en

Abstract

This paper defends – by detailed performances of theory-building – Platonism and logicism regarding pure finite sets (and thereby also regarding natural numbers), and it teaches how not to overestimate the consequences of Gödel’s incompleteness theorem for set-theoretical and arithmetical proof-certified knowledge.

OPUS (Augsburg University)
Openalex Percentile: Top 42%
Philosophy and Theoretical Science
Open Access PDFOpenAlex
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Our daily Platonism: lessons from a theory of pure finite sets · OPUS (Augsburg University) (2024) | TGRS Research Map | TGRS