On Sat, 20 Jun 2020 20:47:36 +0200 "Thomas Schmitt" <scdbac...@gmx.net> wrote:
> Hi, > > deloptes wrote: > > by logic and ontology there is either P or not P that can be true > > Any system of thought, which follows the principles of classical logic > and which contains the usual math of natural numbers, contains statements > which are neither true nor false. > Kurt Goedel. Incompleteness theorem. > > https://en.wikipedia.org/wiki/On_Formally_Undecidable_Propositions_of_Principia_Mathematica_and_Related_Systems No - Gödel proved that any such (formal) system will contain statements such that neither they nor their negations are *provable within the system*. These statements are actually "true", using a normal definition of truth. https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems Celejar