On 05/04/2013 5:49 PM, Nam Nguyen wrote: > On 05/04/2013 5:40 PM, fom wrote: >> On 4/5/2013 6:33 PM, Nam Nguyen wrote: >>> On 05/04/2013 5:24 PM, fom wrote: >>>> On 4/5/2013 3:52 PM, WM wrote: >>>> >>>>> Do you reject mathematics in favour of matheology? >>>> >>>> The only theology here is to be found in WM's theocracy of one. >>> >>> There exists such a thing as a mathematical theology: the mathematical >>> concept of the natural numbers, as "the standard structure" for the >>> language of arithmetic. >>> >> >> If I prefer set theory as a foundation, >> Skolem's religion has no meaning for >> me. > > 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. > >> >> Strange theology. > > Say no more: Indeed it is strange.
Remember the famous "God made the natural numbers; all else is the work of man."?
Somehow - after Godel - we've acted as if we had "made" the naturals, knowing what they exactly be!
-- ---------------------------------------------------- There is no remainder in the mathematics of infinity.
