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Does every paradox involve, in some way, both self-reference and negation?


Absolutely not.

First of all, the only paradoxes that involve negation and self-reference are logical-mathematical paradoxes, such as Russell’s Paradox and the Liar Paradox.

Second, not all logical-mathematical paradoxes, not all of them involve negation/self-reference, for example:

The Raven Paradox

Zeno’s Paradox

The Sorites Paradox

The Coin Paradox

The Riddle of Induction

The New Riddle of Induction

Frege’s Puzzle

Kripke’s Puzzle

Third and most importantly, logical-mathematical paradoxes are not the only paradoxes, and they are not always the most interesting ones. The really interesting ones often concern psychology and economics and the like, for example:

Orlov’s Paradox—the more computers make work unnecessary, the more work we end up doing.

The Slacker’s Paradox—the more people try to avoid work, the more work they end up doing.

And

Stockdale’s Paradox: Self-belief leads to success but optimism leads to failure.

These (and many others) are solved in a recent work of mine:



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