Sujet : it's a conceptual zoo out there
De : dohduhdah (at) *nospam* yahoo.com (sobriquet)
Groupes : sci.mathDate : 23. Jun 2024, 02:36:47
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v57u7g$rgs$1@dont-email.me>
User-Agent : Mozilla Thunderbird
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).
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..).
https://www.youtube.com/watch?v=KiI8OnlBTKsCan 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)?