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tech / sci.math / Re: DC Proof challenge: Zorn's Lemma, how formalize it?

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o Re: DC Proof challenge: Zorn's Lemma, how formalize it?Mostowski Collapse

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Re: DC Proof challenge: Zorn's Lemma, how formalize it?

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Subject: Re: DC Proof challenge: Zorn's Lemma, how formalize it?
From: burse...@gmail.com (Mostowski Collapse)
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 by: Mostowski Collapse - Sun, 31 Oct 2021 23:40 UTC

One more boring paradox:

- Sorites paradox (also known as the paradox of the heap) with sets and classes:
if C is a proper class, and a is a set, the C \ a is still a proper class.

https://en.wikipedia.org/wiki/Sorites_paradox

Mostowski Collapse schrieb am Sonntag, 31. Oktober 2021 um 23:27:55 UTC+1:
> *** Breaking News ***
> The boring set theory paradox challenge
> *** Breaking News ***
>
> Why are most of the set theory paradoxes boring?
> The can be all formulated as proper class theorems:
>
> - Russells Paradox: The class V is a proper class.
> - Burali-Forti paradox: The class On is a proper class.
> - Cantors Paradox: The class Card is a proper class.
> - What else?
>
> Whats the challenge then?
> Well the challenge is a proof in DC Proof.
>
> LoL

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