Date: Apr 13, 2013 2:24 PM
Author: namducnguyen
Subject: Re: Matheology § 224

On 13/04/2013 12:15 PM, Frederick Williams wrote:
> Nam Nguyen wrote:
>> On 13/04/2013 9:54 AM, Frederick Williams wrote:

>>> Nam Nguyen wrote:

>>>> In so far as a _perceived_ language structure would enable
>>>> us to interpret the concept of the natural numbers, such
>>>> a perception is a theology; in it, there are 2 offshoot
>>>> theologies which we'll _forever_ (i.e. even in principle of
>>>> logic) struggle to choose for acceptance:
>>>> - cGC being true
>>>> - ~cGC being true.

>>> You have no reason to suppose that anyone (never mind "we") will forever
>>> struggle to accept either.

>> I do. The truths of however infinitely many Induction-schema axioms in
>> PA are theological truths we all have assumed.
>> All we need to do is to prove the truth value of these 2 formulas can
>> _not_ be finitely or inductively described. And we can prove that.

> If that will settle the matter, then do it.

But ... you still don't understand a simple fraction of it (my M1 being
a FOL language structure), right?

[I've been re-doing it to others, but first they have to let me know
if they'd understand my Def-1, and Def-2, as they've requested me
to make the definitions].

There is no remainder in the mathematics of infinity.