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Is Mathematical Rigor Necessary In Physics?

Davey, Kevin (2001) Is Mathematical Rigor Necessary In Physics? [Preprint]


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Many arguments found in the physics literature involve concepts that are not well-defined by the usual standards of mathematics. I argue that physicists are entitled to employ such concepts without rigorously defining them so long as they restrict the sorts of mathematical arguments in which these concepts are involved. Restrictions of this sort allow the physicist to ignore calculations involving these concepts that might lead to contradictory results. I argue that such restrictions need not be ad-hoc, but can sometimes be justified by considering some of the metaphysical issues surrounding the question of the applicability of mathematics to physical reality.

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Item Type: Preprint
Davey, Kevin
Keywords: phyics, mathematics, rigor, rigour
Subjects: Specific Sciences > Mathematics
Specific Sciences > Physics
Depositing User: Kevin Davey
Date Deposited: 09 Oct 2003
Last Modified: 07 Oct 2010 15:11
Item ID: 787

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