In Defense of the Implicit Commitment Thesis

The implicit commitment thesis is the claim that believing in a mathematical theory S carries an implicit commitment to further sentences not deductively entailed by the theory, such as the consistency sentence Con(S). I provide a new argument for this thesis based on the notion of mathematical cert...

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Bibliographic Details
Main Author: Ethan Brauer
Format: Article
Language:English
Published: Michigan Publishing 2023-07-01
Series:Ergo, An Open Access Journal of Philosophy
Online Access:https://journals.publishing.umich.edu/ergo/article/id/3114/