Year: 2024
Type: article
Abstract: This paper offers an evaluation of Wittgenstein's critique of Cantorian set theory, illustrating his broader philosophical stance on mathematics. By emphasizing the constructed nature of mathematical theories, Wittgenstein encourages a reflective approach to mathematics that acknowledges human agency in its development. His engagement with Cantorian set theory provides valuable insights into the philosophical and practical dimensions of mathematics, urging a reconsideration of its foundations and the nature of mathematical proofs. This perspective aligns closely with the philosophy of mathematical practice, which emphasizes the human side of mathematics by its focus on mathematical practice.
Source: Philosophical Investigations
DOI: 10.1111/phin.12436
Author: Karim Zahidi
Institutions: University of Antwerp, Ghent University
Language: English
Subfield: Philosophy
Field: Arts and Humanities
Domain: Social Sciences
Open Access status: bronze
OpenAlex ID: W4401778168