principle of explosion: difference between revisions
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Although that is exactly what the principle of explosion means, I want to remove Dan Polansky's leg to stand on in suggesting that I am a troll. |
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# {{label|en|logic}} {{l|en|The [[principle]] or [[axiom]] of [[classical logic]] stating that if a [[contradiction]] or a [[false]] [[proposition]]}} is proven to be true, then it proves that everything is true. In symbols: <math>\bot \to P</math> |
# {{label|en|logic}} {{l|en|The [[principle]] or [[axiom]] of [[classical logic]] stating that if a [[contradiction]] or a [[false]] [[proposition]]}} is proven to be true, then it proves that everything is true. In symbols: <math>\bot \to P</math> |
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#: It was raining and not raining at the same and in the same sense of the word, so the principle of explosion meant that he could legitimately conclude that he had a million dollars, and Socrates was Chinese, and Sigmund Freud was the current President of the United States, there was in a word, an explosion of nonsense. |
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====Coordinate terms==== |
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* {{l|en|vacuous truth}}, {{l|en|paraconsistent logic}} |
* {{l|en|vacuous truth}}, {{l|en|paraconsistent logic}} |
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Revision as of 14:56, 3 May 2015
English
Noun
principle of explosion (uncountable)
- (logic) The principle or axiom of classical logic stating that if a contradiction or a false proposition is proven to be true, then it proves that everything is true. In symbols:
Coordinate terms
Synonyms
Translations
logical axiom