Date: Apr 13, 2013 12:49 PM
Author: namducnguyen
Subject: Re: Matheology § 224

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.

There is no remainder in the mathematics of infinity.