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Concept

Identity (mathematics)

Identity (mathematics)
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Overview

equation that is satisfied for all values of the variables

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

Possible passages

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  1. What will suffice to prove this hypothesis to the satisfaction of every fair inquirer, is to show, from daily experience and observation, that the objects which are variable or interrupted, and yet are supposed to continue the same, are such only as consist of a succession of parts, connected together by resemblance, contiguity, or causation. For as such a succession answers evidently to our notion of diversity, it…

    David Hume, Philosophical Works, v. 1

    The chapter “OF PERSONAL IDENTITY.” is titled for Identity; names Identity several times.

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  2. 21. Which shows wherein Personal identity consists. This may show us wherein personal identity consists: not in the identity of substance, but, as I have said, in the identity of consciousness, wherein if Socrates and the present mayor of Queenborough agree, they are…

    John Locke, An Essay Concerning Humane Understanding, Volume 1

    The chapter “CHAPTER XXVII. OF IDENTITY AND DIVERSITY.” is titled for Identity; names Identity several times.

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  3. However at one instant we may consider the related succession as variable or interrupted, we are sure the next to ascribe to it a perfect identity, and regard it as enviable and uninterrupted. Our propensity to this mistake is so great from the resemblance above-mentioned, that we fall into it before we are aware; and though we incessantly correct ourselves by reflection, and return to a more accurate method…

    David Hume, A Treatise of Human Nature

    The chapter “SECT. VI. OF PERSONAL IDENTITY” is titled for Identity; names Identity several times.

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Philosophers who discussed Identity (mathematics)

Related ideas

Place in the tradition

Part of Outline of logic.

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