Paradoxes and Their Resolutions

A Thematic Compilation by Avi Sion

Blog posts : "liar"

5. The Liar paradox (early)


1.    Double paradox

We have seen that logical propositions of the form ‘if P, then nonP’ (which equals to ‘nonP’) or ‘if nonP, then P’ (which equals to ‘P’), are perfectly legal. They signify that the antecedent is self-contradictory and logically impossible, and that the consequent i…

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6. The Liar paradox (redux)


I dealt with the Liar paradox previously, in my Future Logic[1], but now realize that more needs to be said about it. This paradox is especially difficult to deal with because it resorts to several different discursive ‘tricks’ simultaneously.

1.    First approach

The statement …

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