Yablo's paradox
Encyclopedia
Yablo's paradox is of type similar to the liar paradox
published by Stephen Yablo
in 1993.
The paradox arises from considering the following infinite set of sentences:
The set is paradoxical, because it is unsatisfiable (contradictory), but this unsatisfiability defies immediate intuition.
Moreover, none of the sentences refers to itself, but only to the subsequent sentences; this leads Yablo to claim that his paradox does not rely on self-reference.
Liar paradox
In philosophy and logic, the liar paradox or liar's paradox , is the statement "this sentence is false"...
published by Stephen Yablo
Stephen Yablo
Stephen Yablo is a philosopher at the Massachusetts Institute of Technology . He specializes in the philosophy of logic, philosophy of mind, metaphysics, and philosophy of language....
in 1993.
The paradox arises from considering the following infinite set of sentences:
- (S1): for all k > 1, Sk is false
- (S2): for all k > 2, Sk is false
- (S3): for all k > 3, Sk is false
- ...
- ...
The set is paradoxical, because it is unsatisfiable (contradictory), but this unsatisfiability defies immediate intuition.
Moreover, none of the sentences refers to itself, but only to the subsequent sentences; this leads Yablo to claim that his paradox does not rely on self-reference.