RE: Logic and truth values
September 8, 2014 at 8:31 am
(This post was last modified: September 8, 2014 at 9:12 am by Alex K.)
Isn't the situation such that we have a language and grammatical rules, and true statements are sentences which can be simplified to "true" by applying these rules a finite number of times?
A sentence containing grammatical errors would then simply not be a sentence in this language, and thus there is no truth value (because there is no statement).
It's been a long time though, and there are different approaches.
The issue of paradoxes has played a big role in the closely related field of set theory. There, great efforts have been made to exclude things like the barber paradox by definition, fpr example.by forbidding that sets can contain themselves. Might be related.
A sentence containing grammatical errors would then simply not be a sentence in this language, and thus there is no truth value (because there is no statement).
It's been a long time though, and there are different approaches.
The issue of paradoxes has played a big role in the closely related field of set theory. There, great efforts have been made to exclude things like the barber paradox by definition, fpr example.by forbidding that sets can contain themselves. Might be related.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
