Sujet : Re: it's a conceptual zoo out there
De : FTR (at) *nospam* nomail.afraid.org (FromTheRafters)
Groupes : sci.mathDate : 23. Jun 2024, 13:32:18
Autres entêtes
Organisation : Peripheral Visions
Message-ID : <v594kk$bco0$1@dont-email.me>
References : 1
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sobriquet pretended :
In particle physics, people used to refer to the particle zoo since there was such a bewildering variety of elementary particles that were being discovered in the previous century.
Eventually things got reduced to a relatively small set of fundamental fermions and bosons and all other particles (like hadrons or mesons) were composed from these constituents (the standard model of particle physics).
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Can we expect something similar to happen eventually in math, given
that there is a bewildering variety of concepts in math (like number, function, relation, field, ring, set, geometry, topology, algebra, group, graph, category, tensor, sheaf, bundle, scheme, variety, etc..).
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https://www.youtube.com/watch?v=KiI8OnlBTKs
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Can we kind of distinguish between mathematical reality and mathematical fantasy or is this distinction only applicable to an empirical science like physics or biology (like evolution vs intelligent design)?
I don't think so because regarding physics there is one goal, to model reality, and I believe only one reality to deal with. With mathematics there are endless abstractions such as the idea of endlessness itself in its many forms.