law of contradiction

law of contradiction

[‚lȯ əv ‚kän·trə′dik·shən]
(mathematics)
A principle of logic whereby a proposition cannot be both true and false.
References in classic literature ?
The principles of definition, the law of contradiction, the fallacy of arguing in a circle, the distinction between the essence and accidents of a thing or notion, between means and ends, between causes and conditions; also the division of the mind into the rational, concupiscent, and irascible elements, or of pleasures and desires into necessary and unnecessary-- these and other great forms of thought are all of them to be found in the Republic, and were probably first invented by Plato.
And yet, observing the strange law of contradiction which obtains in all such cases, the time was long, while it flamed by so fast.
Thus, in contrast to naive dialecticism of the East, Western dialectical thinking emphasizes three different laws: the law of identity, the law of contradiction, and the law of the excluded middle (Peng & Nisbett, 1999).
Hocutt that people who have absorbed the law of contradiction and other axioms of reason may still fail to see the implications of their own principles.
It is anterior to the law of contradiction and breaks with the logic of ontology well established already in Aristotle.
The 12 selections reconstruct the philosophical debate about rationalism and supernaturalism by juxtaposing such texts as Frederick Christin Sibbern's On the Manner in Which the Law of Contradiction is Treated in the Hegelian School, Johan Ludvig Heiberg's A Remark on Logic in Reference to the Right Reverend Bishop Mystner's Treatise on Rationalism and Superstition, Mynster's title essay of course but also On the Laws of Logic, and Kierkegaard's A Favorite Game of the Hegelians.
After working out the implications of considering language as primarily a connection of distinct terms, the author concludes that the law of contradiction, which like other laws is taken to derive from the structure of natural language, is inevitably violated by language itself since it destroys the distinctness of its terms.
You can question the Bill of Rights or the principle of marginal utility or the law of gravity or the law of contradiction.
Given the importance of Aristotelian thought in the Western tradition, it may not be surprising to find that "[i]n virtually all of its variations, dialectic continues to presuppose the law of contradiction, the assumption that truth inheres in generality and is tested by the opposition of equally general claims, and the idea of truth must ultimately join the process of inquiry as method with its own emergent product" (Farrell 33-34).
And, again in the July 19-26, 1993 issue: "He lives without the law of contradiction.
Furthermore, the fuzzy set theory makes it possible to be free from the law of contradiction and therefore handle conflicting propositions.
This element is the law of contradiction, according to which those things thought together in a concept are compared to determine the possibility of the thing to which this concept is thought to refer.

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