A study of mathematical determination through Bertrand’s Paradox

Rizza, Davide ORCID: https://orcid.org/0000-0002-1375-371X (2018) A study of mathematical determination through Bertrand’s Paradox. Philosophia Mathematica, 26 (3). 375–395. ISSN 0031-8019

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Abstract

Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand’s paradox

Item Type:	Article
Faculty \ School:	Faculty of Arts and Humanities > School of Politics, Philosophy, Language and Communication Studies (former - to 2024)
UEA Research Groups:	Faculty of Arts and Humanities > Research Groups > Philosophy Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Pure Connector
Date Deposited:	02 Nov 2017 10:43
Last Modified:	11 Nov 2024 09:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/65340
DOI:	10.1093/philmat/nkx035

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