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Single Idea 21691

[filed under theme 5. Theory of Logic / L. Paradox / 3. Antinomies ]

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.


The 9 ideas with the same theme [major clashes in our understanding in Kantian thought]:

Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
The battle of the antinomies is usually won by the attacker, and lost by any defender [Kant]
The idea that contradiction is essential to rational understanding is a key modern idea [Hegel]
Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel]
Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel]
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
Antinomies contradict accepted ways of reasoning, and demand revisions [Quine]
Denying problems, or being romantically defeated by them, won't make them go away [Sorensen]