If I said to you...

I do not think the example given of the liar's paradox in the OP has been understood. What if it was presented in the form of:

"This sentence is false"

There is no sometimes, selectiveness, occasionally etc to be had in this instance.

That's essentially what the OP was before it was edited.
 
What?



This example is more black and white in that it is clear you cannot have a solution that makes use of words such as occasionally or sometimes.

a = b and b > a.

Paradox! Except there is nothing intrinsic about what I've said so isn't a paradox.
 
a = b and b > a.

Paradox! Except there is nothing intrinsic about what I've said so isn't a paradox.

I see what you're getting at but I wouldn't apply that same logic here.

You have two statements, a = b and b > a. I have merely stated (where B is 'this sentence'):

A = True (if B = False), however, if A = True then B ≠ False. This is where the contradiction comes into play. I have not proposed "This sentence is false" and "This sentence is true", I am only proposing "This sentence is false". :p
 
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