Re: technical terms overhaul
On Sat, 20 Jun 2020 20:47:36 +0200
"Thomas Schmitt" <scdbackup@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
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