Concept
Contradiction

Overview
logical incompatibility between two or more propositions
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
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The explanation offered by Kant alleges that the contradiction does not affect the object in its own proper essence, but attaches only to the Reason which seeks to comprehend it. In this way the suggestion was broached that the contradiction is occasioned by the subject-matter itself, or by the intrinsic quality of the categories. And to offer the idea that the contradiction introduced into the world of Reason by…
Georg Wilhelm Friedrich Hegel, The Logic of Hegel
Names Contradiction several times; states what Contradiction is.
The contradiction does not make its appearance as a pure contradiction in the conception, but only as interwoven with concrete ideas; such propositions neither apply to the concrete content nor to the pure Notion. Subject and predicate, of which every proposition consists, are different, but in the ordinary idea we signify their unity; this simple unity, which does not contradict itself, is to ordinary ideas the…
Georg Wilhelm Friedrich Hegel, Hegel's Lectures on the History of Philosophy
Names Contradiction several times; states what Contradiction is.
Now, the proposition: “No subject can have a predicate that contradicts it,” is called the principle of contradiction, and is a universal but purely negative criterion of all truth. But it belongs to logic alone, because it is valid of cognitions, merely as cognitions and without respect to their content, and declares that the contradiction entirely nullifies them.
Immanuel Kant, The Critique of Pure Reason
Names Contradiction several times; states what Contradiction is.
Philosophers who discussed Contradiction
- Józef Maria Bocheński
- Georg Simmel
- Gottfried Wilhelm Leibniz
- J. M. E. McTaggart
- David Hume
- F. C. S. Schiller
- Ivan Orlov (philosopher)
Related ideas
- Belief
- First-order logic
- Ernest Nagel
- Georg Wilhelm Friedrich Hegel
- If and only if
- Kurt Gödel
- Intuitionistic logic
- Law of noncontradiction
- Law of excluded middle
- Propositional logic
- Mathematics
- Axiomatic system
- Modus ponens
- Reductio ad absurdum
- Plato
- False (logic)
- Benjamin Jowett
- Principle of bivalence
- Principia Mathematica
- Paradox
- Q.E.D.
- Socrates
- Minimal logic
- Socialism
Place in the tradition
Part of Absurdism.