According to the definition/usage of the word “true”:

A = “A” is true

“A” is true = A

e.g. The sentence “Snow is white” is true = Snow is white

Not-A = “A” is false

“A” is false = Not-A

e.g. The sentence “Snow is white” is false = Snow is not white

Paradox is due to the mixing of para-level (meta-level) and original level. As long as we do not allow mixing levels, there are no paradoxes. Every sentence should only be allowed to describe sentences which have lower levels. So the sentence “this sentence is false” should not be allowed.

this sentence is false = “this sentence is false” is (in ordinary level) true

this sentence is false = “this sentence is false” is (in meta level) false

In detail, according to the definition of the word “true”:

this sentence is false = “this sentence is false” is true

But according to the meaning of the sentence itself:

this sentence is false = “this sentence is false” is false

So there is a contradiction. 

— Me@2012.04.01

— Me@2012.10.05

— Me@2012.10.15

2012.10.15 Monday (c) All rights reserved by ACHK