antinomy

Definitions

  • WordNet 3.6
    • n antinomy a contradiction between two statements that seem equally reasonable
    • ***
Webster's Revised Unabridged Dictionary
    • Antinomy (Metaph) A contradiction or incompatibility of thought or language; -- in the Kantian philosophy, such a contradiction as arises from the attempt to apply to the ideas of the reason, relations or attributes which are appropriate only to the facts or the concepts of experience.
    • Antinomy An opposing law or rule of any kind. "As it were by his own antinomy , or counterstatute."
    • Antinomy Opposition of one law or rule to another law or rule. "Different commentators have deduced from it the very opposite doctrines. In some instances this apparent antinomy is doubtful."
    • ***
Century Dictionary and Cyclopedia
    • n antinomy The opposition of one law, rule, or principle to another.
    • n antinomy Any law, rule, or principle opposed to another.
    • n antinomy In metaphysics, according to Kant, an unavoidable contradiction into which reason falls when it applies to the transcendent and absolute the a priori conceptions of the understanding (categories: see category, 1), which are valid only within the limits of possible experience. There are four antinomies of the pure reason, according to Kant, relating to the limits of the universe in space and time, to the existence of atoms or the infinite divisibility of matter, to freedom, and to the cosmological argument for a God.
    • ***
Chambers's Twentieth Century Dictionary
    • n Antinomy an′ti-nom-i or an-tin′o-mi a contradiction in a law: a conflict of authority: conclusions discrepant though apparently logical
    • n Antinomy an′ti-nom-i or an-tin′o-mi, a contradiction in a law: a conflict of authority: conclusions discrepant though apparently logical
    • ***

Etymology

Webster's Revised Unabridged Dictionary
L. antinomia, Gr. ; against + law
Chambers's Twentieth Century Dictionary
Gr. anti, against, nomos, a law.

Usage

In literature:

He slipped out of antinomies like a fish, and left his disciple marvelling at the rabbi's depth.
"The Merry Men and Other Tales and Fables" by Robert Louis Stevenson
A like antinomy with that which affects our conception of the infinite in time and space.
"The Private Papers of Henry Ryecroft" by George Gissing
But his ideal theory is not based on antinomies.
"Parmenides" by Plato
The antinomy between the belief in fatalism and this practice did not prevent the two from existing side by side, cf.
"The Oriental Religions in Roman Paganism" by Franz Cumont
There are four of these antinomies, or conflicts.
"The World's Greatest Books--Volume 14--Philosophy and Economics" by Various
Antinomies, of Kant, 29.
"The Religious Sentiment" by Daniel G. Brinton
He slipped out of antinomies like a fish, and left his disciple marvelling at the rabbi's depth.
"The Works of Robert Louis Stevenson" by Robert Louis Stevenson
The antinomy is indeed purely intellectual.
"An Introduction to the Study of Comparative Religion" by Frank Byron Jevons
Kant holds that the antinomy or contradiction which arises when we consider the character of the world as spatial and temporal, viz.
"Kant's Theory of Knowledge" by Harold Arthur Prichard
The solution of the antinomy is that neither alternative is true.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 4" by Various
Zeno himself gave expression to this antinomy in the form of an argument which I have not so far mentioned.
"A Critical History of Greek Philosophy" by W. T. Stace
He now begins to have many conflicting thoughts about Love, two of which constitute a very respectable antinomy.
"Is Polite Society Polite?" by Julia Ward Howe
Are you acquainted with Kant's antinomies?
"A Cadet's Honor" by Upton Sinclair
How solve this antinomy?
"God and the State" by Mikhail Aleksandrovich Bakunin
Here we stumble upon our antinomy.
"The Reform of Education" by Giovanni Gentile
The kind of way in which infinity has been used to discredit the world of sense may be illustrated by Kant's first two antinomies.
"Our Knowledge of the External World as a Field for Scientific Method in Philosophy" by Bertrand Russell
Everywhere the same discouraging antinomy.
"Outlines of a Philosophy of Religion based on Psychology and History" by Auguste Sabatier
The antinomies of Thought and Life do not destroy nor make void the Facts of Thought and Life.
"The Gunpowder Plot and Lord Mounteagle's Letter" by Henry Hawkes Spink Jr.
Antinomies in each, the first proves the Neither, the second proves the Both.
"Plato and the Other Companions of Sokrates, 3rd ed. Volume III (of 4)" by George Grote
The transcendent employment of the categories leads to antinomy, or equally balanced statements of apparently contradictory results.
"Encyclopaedia Britannica, 11th Edition, Volume 15, Slice 6" by Various
***

In science:

Kuczy´nski asserted that G¨odel had in fact discovered another antinomy; see .
Incompleteness, Complexity, Randomness and Beyond
In his famous paper announcing the incompleteness theorem, G¨odel remarked that, though his argument is analogous to the Richard and the Liar paradoxes, “Any epistemological antinomy could be used for a similar proof of the existence of undecidable propositions.” ( Note 14).
Boolos-style proofs of limitative theorems
Rephrasing G¨odel’s above quoted remark, we may conjecture that “The formal version of any epistemological antinomy is just the statement on the undefinability of truth, and hence could be used for its proof ”.
Boolos-style proofs of limitative theorems
As Tarski puts it in connection with the Liar paradox (cf. p. 76.), we cannot talk about the truth in the language of arithmetic since otherwise “the antinomy of the liar could actually be reconstructed in this language”.
Boolos-style proofs of limitative theorems
Covariant formalism do not seem to be an appropriate topic for a workshop on canonical gravity! But maybe old antinomies as the 4 versus 3+1 views of quantum gravity are finally beginning to evaporate.
Matters of Gravity, the newsletter of the APS TG on gravitation
When considering the amount of language necessary for a truth it is straightforward to show that sentences are insufficient by constructing self-referential truth (SRT) sentences, such as the antinomy of the liar an example of which is ‘what this sentence says is not true’.
Does Meaning Evolve?
They were formulated at 1900 and led to several paradoxes (antinomies) from the beginning, which led to a discussion on the foundations of mathematics [he] [hi] [fr] [we] [we1] [we2] which also deals with the concept of existence (see below).
To the finite information content of the physically existing reality
***