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

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Posts: 1,968
Registered: 12/4/12
Re: Torkel Franzen argues
Posted: May 5, 2013 2:20 AM
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On 5/5/2013 12:52 AM, Nam Nguyen wrote:
> On 04/05/2013 6:04 PM, fom wrote:
>> On 5/4/2013 11:07 AM, Frederick Williams wrote:
>>> Nam Nguyen wrote:
>>>> On 26/04/2013 11:09 AM, Nam Nguyen wrote:

>>>>> On 2013-04-25, FredJeffries <> 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?

>>>> 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.

>> Out of curiosity, how do you come to that conclusion? I have
>> come to the exact opposite conclusion.


>> The only sense I can
>> make of foundations is that it is more like a jigsaw puzzle
>> that must address circularity and regress directly and with
>> the objective of making it harmless.

> I couldn't agree less; and that is exactly what I've proposed
> for the past years.

Well, I will not dispute your opinions.

I simply know what I have done and how it fits
in with established literature. I also know how
it is non-standard and, thereby, easily subject to

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