Date: Apr 6, 2013 1:06 PM
Author: namducnguyen
Subject: Re: Matheology § 224

On 06/04/2013 10:48 AM, Nam Nguyen wrote:
> On 05/04/2013 12:20 AM, fom wrote:
>> On 4/5/2013 12:57 AM, Nam Nguyen wrote:
>>> On 04/04/2013 10:55 PM, fom wrote:
>>>> Who knows what is and what is not -- even
>>>> in the simple realm of mathematics -- claims
>>>> a certain knowledge that is revealed rather
>>>> than discerned.

>>> So, since Godel, is the knowledge of the natural numbers
>>> a revealed or discerned one?
>>> Revealed by whom? Discerned from what?

>> I thought you claimed to be a relativist. ???

> I am, by at least the 3rd Principle "Principle of Symmetry (of
> Non-Logicality)" mentioned in:

>> The history of mathematical logic is entwined
>> with a philosophical perspective that is collapsing
>> from its own analyses. Goedel argued for
>> idealism and platonism. That is not the logicism,
>> logical positivism, or predicativism that tried
>> to ground mathematics on the basis of realism
>> and otherwise characterized the era in which he
>> worked.

> So why do people react negatively with the _logical notion_ that the
> concept of the natural numbers Godel used is a relativistic concept?

I mean, it's fine that Godel _believed_ in "idealism and platonism" and
what not, as people would tend to so think, but why do people react
negatively whenever it's pointed out that his work isn't a
_mathematical logic_ work?

There is no remainder in the mathematics of infinity.