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Full Idea
An 'antinomy' produces a self-contradiction by accepted ways of reasoning. It establishes that some tacit and trusted pattern of reasoning must be made explicit and henceforward be avoided or revised.
Gist of Idea
Antinomies contradict accepted ways of reasoning, and demand revisions
Source
Willard Quine (The Ways of Paradox [1961], p.05)
Book Ref
Quine,Willard: 'Ways of Paradox and other essays' [Harvard 1976], p.5
A Reaction
Quine treats antinomies as of much greater importance than mere paradoxes. It is often possible to give simple explanations of paradoxes, but antinomies go to the root of our belief system. This was presumably Kant's intended meaning.
| 21689 | A barber shaves only those who do not shave themselves. So does he shave himself? [Quine] |
| 21690 | Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine] |
| 21691 | Antinomies contradict accepted ways of reasoning, and demand revisions [Quine] |
| 21692 | If we write it as '"this sentence is false" is false', there is no paradox [Quine] |
| 21693 | Russell's antinomy challenged the idea that any condition can produce a set [Quine] |
| 21694 | Membership conditions which involve membership and non-membership are paradoxical [Quine] |
| 21695 | The set scheme discredited by paradoxes is actually the most natural one [Quine] |