Principle of contradiction

Definitions

  • Webster's Revised Unabridged Dictionary
    • Principle of contradiction etc. See under Bitter Contradiction, etc.
    • Principle of contradiction (Logic) the axiom or law of thought that a thing cannot be and not be at the same time, or a thing must either be or not be, or the same attribute can not at the same time be affirmed and and denied of the same subject; also called the law of the excluded middle.
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Chambers's Twentieth Century Dictionary
    • Principle of contradiction the logical principle that a thing cannot both be and not be
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Etymology

Chambers's Twentieth Century Dictionary
L. principium, beginning—princeps.

Usage

In literature:

To the principle of government by law, Latin Christianity, in its papal form, is in absolute contradiction.
"History of the Conflict Between Religion and Science" by John William Draper
The ordinary logic is also jealous of the explanation of negation as relation, because seeming to take away the principle of contradiction.
"Sophist" by Plato
They arrive at conclusions through the force of prejudice, and on the principles of contradiction.
"Table-Talk" by William Hazlitt
We must therefore hold the principle of contradiction to be the universal and fully sufficient Principle of all analytical cognition.
"The Critique of Pure Reason" by Immanuel Kant
The Impersonalness of the Principle of Personality looks like a contradiction in terms, but it is not.
"The Creative Process in the Individual" by Thomas Troward
What must I do in presence of the contradictions which nevertheless must needs contain a fecund principle?
"Delsarte System of Oratory" by Various
Does not this contradict all the distinctive principles of the Declaration of Independence?
"American Eloquence, Volume IV. (of 4) Studies In American Political History (1897)" by Various
The seizure of an American ship under these circumstances was in contradiction with the recognized principles of international law.
"New York Times Current History; The European War, Vol 2, No. 3, June, 1915" by Various
That a plurality of worlds does not contradict any principle of reason or faith.
"Moon Lore" by Timothy Harley
The pivot of this part is the logical principle of contradiction.
"Encyclopaedia Britannica, 11th Edition, Volume 6, Slice 6" by Various
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In news:

To demonstrate hatred or a loathing of another's religion or faith was a direct contradiction of Christian-Judeo principles.
To demonstrate hatred or a loathing of another’s religion or faith was a direct contradiction of Christian-Judeo principles.
The sect 's 83-year-old founder, Faizrakhman Satarov, who declared himself a prophet in contradiction to the principles of Islam, was charged with negligence, said Irina Petrova, deputy prosecutor in the provincial capital of Kazan.
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In science:

The latter are in contradiction with the basic principles of local Quantum Field Theory.
Analytic Invariant Charge in QCD
It is in a clear cut contradiction with the principle of complementarity.
On the Paradoxical Book of Bell
The surface Σ must be embedded because transverse selfintersections of it would give rise to transverse self intersection of Σn for n large and tangential self-intersections would contradict the maximum principle.
Structure theorems for embedded disks with mean curvature bounded in L^P
In principle the phenomenon could also be explained by an enhancement of |Vcs | ∼ 1.1, which would contradict unitarity in many models.
Summary of hints for new physics from (quark) flavour physics
This fact contradicts the general principles of local Quantum Field Theory and essentially complicates the analysis of low energy experimental data.
QCDMAPT: program package for Analytic approach to QCD
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