A Study of Mathematical Determination through Bertrand’s Paradox

Philosophia Mathematica 26 (3):375-395 (2018)
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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.

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Davide Rizza
University of East Anglia

References found in this work

The Well-Posed Problem.Edwin T. Jaynes - 1973 - Foundations of Physics 3 (4):477-493.
Defusing Bertrand’s Paradox.Zalán Gyenis & Miklós Rédei - 2015 - British Journal for the Philosophy of Science 66 (2):349-373.

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