Barton, Neil (2017) Independence and Ignorance: How agnotology informs set-theoretic pluralism. [Preprint]
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Abstract
Much of the discussion of set-theoretic independence, and whether or not we could legitimately expand our foundational theory, concerns how we could possibly come to know the truth value of independent sentences. This paper pursues a slightly different tack, examining how we are ignorant of issues surrounding their truth. We argue that a study of how we are ignorant reveals a need for an understanding of set-theoretic explanation and motivates a pluralism concerning the adoption of foundational theory.
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Item Type: | Preprint | ||||||
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Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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Depositing User: | Dr. Neil Barton | ||||||
Date Deposited: | 07 May 2018 14:16 | ||||||
Last Modified: | 07 May 2018 14:16 | ||||||
Item ID: | 14636 | ||||||
Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Explanation Specific Sciences > Mathematics > Foundations Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics |
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Date: | 2017 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/14636 |
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