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From: Richard Damon <richard@damon-family.org>
Newsgroups: sci.logic
Subject: Re: This makes all Analytic(Olcott) truth computable
Date: Mon, 19 Aug 2024 22:14:13 -0400
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On 8/19/24 8:48 AM, olcott wrote:
> On 8/19/2024 3:07 AM, Mikko wrote:
>> On 2024-08-18 12:18:02 +0000, olcott said:
>>
>>> On 8/15/2024 4:01 AM, Mikko wrote:
>>>> On 2024-08-13 12:43:16 +0000, olcott said:
>>>>
>>>>>
>>>>> In epistemology (theory of knowledge), a self-evident proposition
>>>>> is a proposition that is known to be true by understanding its meaning
>>>>> without proof https://en.wikipedia.org/wiki/Self-evidence
>>>>
>>>> Self-evident propositions are uninteresting.
>>>>
>>>
>>> It turns out that self-evident <is> the notion of {analytic truth}
>>> and all of math and logic only deals in {analytic truth}.
>>
>> A large part of what math and logic deals in is not self-evident.
>> For examle, most people would not regard it self-evident that in
>> classical geometry it is impossible to construct a square that
>> has the same area as a given circle.
>>
> 
> By self-evident I do not mean that people can understand it.
> I only mean that it is semantically entailed by a set of axioms.
> A better term than self-evident is semantic tautology.
> 

That is not a "tautology".

I guess you just don't know what that word means.

Semantically entail by a set of axioms is just the normal definition of 
an analytic truth, a statement that flows from the applicatiom of a 
(possibly infinite) set of valid logical operation to the axioms of the 
system.

Maybe you don't understand what "semanitally" means in formal systems.