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?
-- ---------------------------------------------------- There is no remainder in the mathematics of infinity.
