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Single Idea 13986

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

Full Idea

Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.

Gist of Idea

Plato found antinomies in ideas, Kant in space and time, and Bradley in relations

Source

report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'

Book Ref

Ryle,Gilbert: 'Collected Essays 2 1929-1968' [Routledge 2009], p.28


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]