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Single Idea 21692

[filed under theme 5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox ]

Full Idea

If we supplant the sentence 'this sentence is false' with one saying what it refers to, we get '"this sentence is false" is false'. But then the whole outside sentence attributes falsity no longer to itself but to something else, so there is no paradox.

Gist of Idea

If we write it as '"this sentence is false" is false', there is no paradox

Source

Willard Quine (The Ways of Paradox [1961], p.07)

Book Ref

Quine,Willard: 'Ways of Paradox and other essays' [Harvard 1976], p.7


A Reaction

Quine is pointing us towards type theory and meta-languages to solve the problem. We now have the Revenge Liar, and the problem has not been fully settled.


The 7 ideas from 'The Ways of Paradox'

A barber shaves only those who do not shave themselves. So does he shave himself? [Quine]
Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine]
Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
If we write it as '"this sentence is false" is false', there is no paradox [Quine]
Russell's antinomy challenged the idea that any condition can produce a set [Quine]
Membership conditions which involve membership and non-membership are paradoxical [Quine]
The set scheme discredited by paradoxes is actually the most natural one [Quine]