Mathematical Arguments and Distributed Knowledge

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Samenvatting

Because the conclusion of a correct proof follows by necessity from its premises, and is thus independent of the mathematician's beliefs about that conclusion, understanding how different pieces of mathematical knowledge can be distributed within a larger community is rarely considered an issue in the epistemology of mathematical proofs. In the present chapter, we set out to question the received view expressed by the previous sentence. To that end, we study a prime example of collaborative mathematics, namely the Polymath Project, and propose a simple formal model based on epistemic logics to bring out some of the core features of this case-study.
Originele taal-2English
TitelThe Argument of Mathematics
RedacteurenA. Aberdein, I. Dove
Plaats van productieDordrecht
UitgeverijSpringer
Pagina's339-360
Aantal pagina's22
ISBN van geprinte versie978-94-007-6533-7
StatusPublished - 2013

Publicatie series

NaamLogic, Epistemology, and the Unity of Science
UitgeverijSpringer
Volume30
ISSN van geprinte versie2214-9775

Bibliografische nota

Aberdein, A. & I. Dove

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