Comment Re:It's math (Score 1) 171
I just want for someone to prove the Church-Turing conjecture for the set of all finite programs<->calclus. I specified finite as PM breaks down when dealing with an infinite number of elements into a set and Godel do not applies here as I do not search the truth value of a proposition, only a mapping D->P as I transform the parsing and interpretation of a finite description D to an hypothetical lambda calculus problem P. As long as all descriptions are finite and that the Church-Turing conjecture holds true, my conjecture is safe. Sure, there is no usefulness in that transformation, it's only a device to show that at least one mathematical description must exist.
I wish I could address your remark on Tractatus Logico-Philosophicus but I lack knowledge of that book to address your concerns.
And lastly, the project in Principia Mathematica is, in my humble opinion, not failed but it is incomplete and limited to finite sets.
I wish I could address your remark on Tractatus Logico-Philosophicus but I lack knowledge of that book to address your concerns.
And lastly, the project in Principia Mathematica is, in my humble opinion, not failed but it is incomplete and limited to finite sets.