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Topic: No John Gabriel, an infinite sum is a limit and 0.333... is indeed
1/3. Plus several other misconceptions Gabriel has

Replies: 2   Last Post: Oct 4, 2017 2:58 PM

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bursejan@gmail.com

Posts: 4,611
Registered: 9/25/16
Re: No John Gabriel, an infinite sum is a limit and 0.333... is
indeed 1/3. Plus several other misconceptions Gabriel has

Posted: Oct 4, 2017 2:45 PM
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Yes, this wouldn't work somehow, it
would be circular, not foundational:

_
/ \
real |
/ \_/
rational

Running into case 1 or 2 of the
Münchhausen trilemma.

Am Mittwoch, 4. Oktober 2017 20:41:08 UTC+2 schrieb Markus Klyver:
> And no, we don't define real numbers as limits of Cauchy sequences. That's an other strawman and completely illogical. We can, however, define a real number as an equivalence class of rational Cauchy sequences. An equivalence class is not a limit. An equivalence class is a set of equivalent elements under a certain equivalence relation.




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