What does identity of indiscernibles mean?
Definitions for identity of indiscernibles
iden·ti·ty of in·dis·cernibles
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Wiktionary
identity of indiscerniblesnoun
The principle that if two objects are indistinguishable from one another with respect to all of their properties then they are identical.
Wikipedia
Identity of indiscernibles
The identity of indiscernibles is an ontological principle that states that there cannot be separate objects or entities that have all their properties in common. That is, entities x and y are identical if every predicate possessed by x is also possessed by y and vice versa. It states that no two distinct things (such as snowflakes) can be exactly alike, but this is intended as a metaphysical principle rather than one of natural science. A related principle is the indiscernibility of identicals, discussed below. A form of the principle is attributed to the German philosopher Gottfried Wilhelm Leibniz. While some think that Leibniz's version of the principle is meant to be only the indiscernibility of identicals, others have interpreted it as the conjunction of the identity of indiscernibles and the indiscernibility of identicals (the converse principle). Because of its association with Leibniz, the indiscernibility of identicals is sometimes known as Leibniz's law. It is considered to be one of his great metaphysical principles, the other being the principle of noncontradiction and the principle of sufficient reason (famously been used in his disputes with Newton and Clarke in the Leibniz–Clarke correspondence). Some philosophers have decided, however, that it is important to exclude certain predicates (or purported predicates) from the principle in order to avoid either triviality or contradiction. An example (detailed below) is the predicate that denotes whether an object is equal to x (often considered a valid predicate). As a consequence, there are a few different versions of the principle in the philosophical literature, of varying logical strength—and some of them are termed "the strong principle" or "the weak principle" by particular authors, in order to distinguish between them.The identity of indiscernibles has been used to motivate notions of noncontextuality within quantum mechanics. Associated with this principle is also the question as to whether it is a logical principle, or merely an empirical principle.
Wikidata
Identity of indiscernibles
The identity of indiscernibles is an ontological principle which states that there cannot be separate objects or entities that have all their properties in common. That is, entities x and y are identical if every predicate possessed by x is also possessed by y and vice versa; to suppose two things indiscernible is to suppose the same thing under two names. It states that no two distinct things can be exactly alike, but this is intended as a metaphysical principle rather than one of natural science. A related principle is the indiscernibility of identicals, discussed below. A form of the principle is attributed to the German philosopher Gottfried Wilhelm Leibniz. It is one of his two great metaphysical principles, the other being the principle of sufficient reason. Both are famously used in his arguments with Newton and Clarke in the Leibniz–Clarke correspondence. Because of its association with Leibniz, the principle is sometimes known as Leibniz's law.
Numerology
Chaldean Numerology
The numerical value of identity of indiscernibles in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of identity of indiscernibles in Pythagorean Numerology is: 8
Translations for identity of indiscernibles
From our Multilingual Translation Dictionary
- अंधाधुंध की पहचानHindi
- identitas indiscerniblesIndonesian
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"identity of indiscernibles." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/identity+of+indiscernibles>.
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