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Independence and Ignorance: How agnotology informs set-theoretic pluralism

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
Creators:
CreatorsEmailORCID
Barton, Neilbartonna@gmail.com0000-0002-3637-1730
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics
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
Date: 2017
URI: http://philsci-archive.pitt.edu/id/eprint/14636

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