Steve Price wrote: >Marchal wrote: "Only a very tiny part of the possible mathematical >structures can be >formalised or axiomatized. >There is no possible formalisation of Arithmetical Truth. >This is a consequence of Godel's Theorem." > >Strong disagreement. You should have said: Only a very tiny part of the >possible mathematical structures can be formalised or axiomatized in a >purely finitistic way. There is no possible FINITE formalisation of >Arithmetical Truth which is both complete and consistent.
You are wright. Sorry. I e-mail to quickly. Note that you could have said "There is no possible ALPHA formalisation of Arithmetical Truth which is both complete and consistent, with ALPHA any recursive transfinite ordinals. I have not succeed the printing of Lucian Wischik's 1997 paper "Non-finite computation in Malament-Hogarth spacetimes," available from http://www.wischik.com/lu/researcher.html ... I will try again. Bruno.
