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Trust in Mathematics
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DOI：10.1093/philmat/nkaf019.png)
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In this paper we develop a systematic account of trust in mathematics based on Katherine Hawley's commitment account of trust. We focus on two related clusters of trust relationships in mathematical practice: (i) trusting relationships that are established when someone claims to have proven a result, and (ii) trusting others to check specific putative proofs. The image of mathematics that will emerge from our analysis is one of a deeply social discipline, where trust and its absence are an important component of how justification goes from individual mathematicians to the mathematical community, and the social mechanisms of checking proofs.
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16
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