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Topic: Torkel Franzen argues
Replies: 25   Last Post: May 17, 2013 3:52 PM

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Registered: 12/13/04
Re: Torkel Franzen argues
Posted: May 4, 2013 1:37 PM
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On 04/05/2013 10:07 AM, Frederick Williams wrote:
> Nam Nguyen wrote:
>> On 26/04/2013 11:09 AM, Nam Nguyen wrote:

>>> On 2013-04-25, FredJeffries <fredjeffries@gmail.com> wrote:
>>>> Now PA has been proved consistent in ZF or NBG, but then that
>>>> brings the consistency of axioms for set theory.

>> Exactly right. And exactly my point.
>> Somewhere, somehow, a circularity or an infinite regression
>> of _mathematical knowledge_ will be reached,

> How does one reach an infinite regression?

By claiming that the state of consistency of PA can be
proved _IN_ a _different formal system_ .

>> and at that point
>> we still have to confront with the issue of mathematical relativity.

> It is not the case that either we go round in a circle or we regress
> forever.

That's not a refute. Of course.

(It's just an unsubstantiated claim).

>> There's really no escape to it, I'm afraid from what I could gather.

There is no remainder in the mathematics of infinity.


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