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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: The philosophy of computation reformulates existing ideas on a new basis ---
Date: Sat, 2 Nov 2024 11:09:59 +0200
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On 2024-11-01 12:19:03 +0000, olcott said:

> On 11/1/2024 5:42 AM, Mikko wrote:
>> On 2024-10-30 12:46:25 +0000, olcott said:
>> 
>>> ZFC only resolved Russell's Paradox because it tossed out
>>> the incoherent foundation of https://en.wikipedia.org/wiki/ Naive_set_theory
>> 
>> Actually Zermelo did it. The F and C are simply minor improvements on
>> other aspects of the theory.
> 
> Thus establishing the precedent that replacing the foundational
> basis of a problem is a valid way to resolve that problem.

No, that does not follow. In particular, Russell's paradox is not a
problem, just an element of the proof that the naive set theory is
inconsistent. The problem then is to construct a consistent set
theory. Zermelo proposed one set theory and ZF and ZFC are two other
proposals.

The foundation of all these theories is classical logic.

-- 
Mikko