Law of identity  

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Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.
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Train wreck at Montparnasse (October 22, 1895) by Studio Lévy and Sons.

In logic, the law of identity is the first of the three classic laws of thought. It states that an object is the same as itself: AA (if you have A, then you have A); While this can also be listed as AA (A if-and-only-if A,) this is redundant. Any reflexive relation upholds the law of identity. When discussing equality, the fact that "A is A" is a tautology.


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Unless indicated otherwise, the text in this article is either based on Wikipedia article "Law of identity" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on original research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

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