PeteOlcott wrote: ↑Sat Jun 20, 2020 1:37 am
Eodnhoj7 wrote: ↑Sat Jun 20, 2020 1:29 am
PeteOlcott wrote: ↑Sat Jun 20, 2020 12:11 am
OK then this sentence is true: "This sentence is false." because it is self-referential.
The sentence is simultaneously true and false.
That is just not the way it works.
If a sentence is a Truth bearer then it has exactly one Boolean values otherwise a sentence is not a truth bearer.
Copyright 2020 (and prior years) Pete Olcott
False, "this sentence is false" contains two truth values, one false and one true, where the truth value is derived from the context presented. All statements are localizations of a continuum, ie a part of a continuum, thus requires the remainder of the continuum in order to justify them. A is justified through B, B is justified through C, etc. thus necessitating an assertion beyond the original to justify it. To justify the sentence in terms of boolean values requires the boolean values to be justified by a context beyond it, and another beyond it, etc. otherwise your premise is strictly assumed.
However because this regress, while infinite, can only be expressed as finite your terms are always assumed.
It is the localization of any part of the continuum as necessitating all statements as dualistic, both true and false. For example "a unicorn exists" is both true and false. It is true under the context "the unicorn exists as imaginary". It is false under the context "the unicorn exists as an empirical biological entity". The context in which the statement exists determines the truth value, yet each statement is derived from a context beyond it thus necessitating a continual true and false truth value. Under these terms each assertion is simultaneously true and false. Truth value thus always maintains a state of superpositioning where multiple truth values exist simultaneously.