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*Date: [http://www.wikpedia.org/wiki/14th_Century 14th century]
==Definitions==
*1 : [[act]] or an instance of contradicting
*2 a : a [[proposition]], [[statement]], or phrase that asserts or implies both the [[truth]] and [[falsity]] of something
:b : a [[statement]] or phrase whose parts contradict each other <a round square is a contradiction in terms>
*3 a : [[logical]] incongruity
:b : a situation in which [[inherent]] [[factors]], [[actions]], or propositions are inconsistent or [[contrary]] to one another
==Description==
In [[classical]] [[logic]], a '''contradiction''' consists of a [[logical]] incompatibility between two or more propositions. It occurs when the propositions, taken [[together]], yield two conclusions which [[form]] the [[logical]], usually [[opposite]] inversions of each other. [[Illustrating]] a general tendency in applied logic, Aristotle’s law of noncontradiction states that “One cannot say of something that it is and that it is not in the same respect and at the same time.”
By extension, outside of [[classical]] [[logic]], one can speak of contradictions between [[actions]] when one presumes that their [[motives]] contradict each other.
==History==
By [[creation]] of a [[paradox]] [http://en.wikipedia.org/wiki/Plato Plato]'s ''Dialog of Euthydemus'' [[demonstrates]] the need for the notion of contradiction. In the ensuing dialog Dionysodorus denies the [[existence]] of "contradiction", all the while that Plato is contradicing him:
<blockquote> ". . . I in my astonishment said: What do you mean Dionysodorus? I have often heard, and have been amazed to hear, this thesis of yours, which is maintained and employed by the [[disciples]] of Protagoras [a Sophist, the [[argument]] of whom Aristotle rebutts during his enunciation of the Law of Noncontradiction], and others before them, and which to me appears to be quite [[wonderful]], and [[suicidal]] as well as destructive, and I think that I am most likely to hear the [[truth]] about it from you. The dictum is that there is no such thing as a [[falsehood]]; a man must either say what is true or say nothing. Is not that your position? </blockquote>
<blockquote>Indeed, Dionysodorus [[agrees]] that "there is no such [[thing]] as [[false]] [[opinion]] . . . there is no such thing as [[ignorance]]" and demands of Plato to "Refute me." Plato responds "But how can I refute you, if, as you say, to tell a falsehood is impossible?" [http://en.wikipedia.org/wiki/Contradiction]</blockquote>.
[[Category: Philosophy]]
*Date: [http://www.wikpedia.org/wiki/14th_Century 14th century]
==Definitions==
*1 : [[act]] or an instance of contradicting
*2 a : a [[proposition]], [[statement]], or phrase that asserts or implies both the [[truth]] and [[falsity]] of something
:b : a [[statement]] or phrase whose parts contradict each other <a round square is a contradiction in terms>
*3 a : [[logical]] incongruity
:b : a situation in which [[inherent]] [[factors]], [[actions]], or propositions are inconsistent or [[contrary]] to one another
==Description==
In [[classical]] [[logic]], a '''contradiction''' consists of a [[logical]] incompatibility between two or more propositions. It occurs when the propositions, taken [[together]], yield two conclusions which [[form]] the [[logical]], usually [[opposite]] inversions of each other. [[Illustrating]] a general tendency in applied logic, Aristotle’s law of noncontradiction states that “One cannot say of something that it is and that it is not in the same respect and at the same time.”
By extension, outside of [[classical]] [[logic]], one can speak of contradictions between [[actions]] when one presumes that their [[motives]] contradict each other.
==History==
By [[creation]] of a [[paradox]] [http://en.wikipedia.org/wiki/Plato Plato]'s ''Dialog of Euthydemus'' [[demonstrates]] the need for the notion of contradiction. In the ensuing dialog Dionysodorus denies the [[existence]] of "contradiction", all the while that Plato is contradicing him:
<blockquote> ". . . I in my astonishment said: What do you mean Dionysodorus? I have often heard, and have been amazed to hear, this thesis of yours, which is maintained and employed by the [[disciples]] of Protagoras [a Sophist, the [[argument]] of whom Aristotle rebutts during his enunciation of the Law of Noncontradiction], and others before them, and which to me appears to be quite [[wonderful]], and [[suicidal]] as well as destructive, and I think that I am most likely to hear the [[truth]] about it from you. The dictum is that there is no such thing as a [[falsehood]]; a man must either say what is true or say nothing. Is not that your position? </blockquote>
<blockquote>Indeed, Dionysodorus [[agrees]] that "there is no such [[thing]] as [[false]] [[opinion]] . . . there is no such thing as [[ignorance]]" and demands of Plato to "Refute me." Plato responds "But how can I refute you, if, as you say, to tell a falsehood is impossible?" [http://en.wikipedia.org/wiki/Contradiction]</blockquote>.
[[Category: Philosophy]]
