12,841
reputation
3
19
68

Lehs

The possibility of circle references in human language is totally independent of consistancy of mathematics. It's common sense and it can also be proved.

"This statement about axiomatic set theory is false."

"The class of all classes that do not include themselves, do not include itself."

"Next sentence is false. Previous sentence is true."

Statements with circle references may conflict with the Aristotelian logic of terms, but do not interfere with mathematical deduction, because there is an logically equivalent and consistent three valued logic, which admit circle references.

The trick is to split 'false' into two logically equivalent but different alternatives: 'false' and 'absurd' in a systematic algebraic way, which results in a unique commutative semiring which can be interpreted as a three valued logic that preserve all tautologies and rules of inference. All theorems can be proved and absurd statements exists besides false statements and as harmless.

http://forthmath.blogspot.com/2020/07/the-paradox-of-russell.html


https://forthmath.blogspot.se

https://iesho.blogspot.se/2015/02/21-murder-of-swedish-prime-minister.html

https://en.m.wikipedia.org/wiki/Bologna_massacre

https://en.m.wikipedia.org/wiki/Operation_Gladio

https://en.m.wikipedia.org/wiki/Stay-behind#/

https://iesho.blogspot.com/2019/02/49-dead-woman-in-isdalen-norway.html

223
answers
286
questions
~324k
people reached

Top tags (242)

Score 92
Posts 51
Posts % 10
Score 20
Posts 42
Score 18
Posts 79
Score 14
Posts 34
Score 12
Posts 131
Score 10
Posts 55

Top posts (509)

View all questions and answers

Badges (90)

Gold

3

Rarest

Silver

19

Rarest

Bronze

68

Rarest