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Integers are already infinite and you need infinity to express things like convergent sequences. Real numbers are a whole new level of wtf altogether
by dilyevsky 2y ago
Integers are already infinite and you need infinity to express things like convergent sequences. Real numbers are a whole new level of wtf altogether
- erehweb 2y agoSee https://math.stackexchange.com/questions/4216831/what-does-constructive-mathematics-say-about-limits https://math.stackexchange.com/questions/4216831/what-does-c... for some discussion on convergence using constructive mathematics.
- kreetx 2y agoIt's the definition of "exists" that is contested. To me, the infinity of anything is a generator (a program that continues to print digits). Does some infinite number exists "now"? Not really (it's being printed). But is the number being printed larger than any given integer? Yes. So, does infinity exists? ¯\_(ツ)_/¯ "The Emperor's New Mind" is a great book on this and related topics.