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arXiv:1506.03733physics.hist-ph

A naturalist account of the limited, and hence reasonable, effectiveness of mathematics in physics

Lee Smolin

Abstract

The aim of this essay is to propose a conception of mathematics that is fully consonant with naturalism. By that I mean the hypothesis that everything that exists is part of the natural world, which makes up a unitary whole.

arXiv comments
10 pages latex, no figures. Awarded third place in the 2015 FQXi essay contest
Journal reference
DOI
Subjects
physics.hist-phHistory and Philosophy of Physics

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Linked by 3 identifiable commenters in 8 comments across 7 threads, from Sep 2015 to Sep 2024. Found in 2 HN submissions from Jun 2015 to Aug 2015. Open submission discussions.

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Discussed in comments7 threads

    • A naturalist account of the limited, and hence reasonable, effectiveness of mathematics in physics. - Lee Smolin (he's a physicist) https://arxiv.org/abs/1506.03733

      discreteeventView on HNParent context

    • Your points reminded me of this: A naturalist account of the limited, and hence reasonable, effectiveness of mathematics in physics Lee Smolin https://arxiv.org/pdf/1506.03733 Also the book on which the article is based "The Singular Universe and the Reality of Time" is a…

      discreteeventView on HNParent context

    • Also: A naturalist account of the limited, and hence reasonable, effectiveness of mathematics in physics - Lee Smolin https://arxiv.org/abs/1506.03733

      discreteeventView on HNParent context

    • To add to this, I thoroughly recommend reading Smolin's paper on the "limited, and hence reasonable, effectiveness of mathematics in physics." He expands on one of those mis-steps (quoting from the paper): >This is in contradiction with the Platonic view of mathematics held by…

      xlm1717View on HNParent context

    • With regards to 1), I remember reading a paper I found on HN not too long ago trying to argue that no, it does not exist. To generalize, any piece of knowledge only exists after it is discovered. Can't remember what it is at the moment, maybe someone else knows what I'm talking…

      xlm1717View on HNParent context

    • My mistake, I was remembering it incorrectly. Edited my previous reply to include a link to this: http://arxiv.org/abs/1506.03733 Lee Smolin discusses a class of facts that are evoked: "I would like to propose that there is a class of facts about the world, which concerns…

      xlm1717View on HNParent context

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