Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics — mentioned by thraway180306

Fri, 30 Mar 2018 21:28:09 GMT

> You don’t need any theory about infinity It's not about them, nobody wished them. They came as necessity. > Everything can be done using approximations Approximations are analytical animals. > with bounded error I don't know how to bound errors without analysis. > in finite steps. By usage I didn't mean occasionally computing. (This is not free of problems. BTW you'd be horrified to know even finite purely combinatorial mathematics leads to irrational polytopes, ending up with infinities.) But using as a cornerstone of theory that allows for reasoning of epistemic value i.e. one affording…

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Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics · HackerPapers discussions

Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics — mentioned by thraway180306