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• Identity_of_indiscernibles abstract "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 (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. 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. (However, the term "Leibniz's Law" is also commonly used for the converse of the principle, the indiscernibility of identicals (described below), which is logically distinct and not to be confused with the identity of indiscernibles.)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 which 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.Willard Van Orman Quine thought that the failure of substitutivity in intensional contexts (e.g., "Sally believes that p" or "It is necessarily the case that q") shows that modal logic is an impossible project. Saul Kripke holds that this failure may be the result of the use of the disquotational principle implicit in these proofs, and not a failure of substitutivity as such.Associated with this principle is also the question as to whether it is a logical principle, or merely an empirical principle.".
• Identity_of_indiscernibles wikiPageExternalLink identity-indiscernible.
• Identity_of_indiscernibles wikiPageExternalLink tactics.htm.
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• Identity_of_indiscernibles wikiPageID "630398".
• Identity_of_indiscernibles wikiPageRevisionID "602888652".
• Identity_of_indiscernibles hasPhotoCollection Identity_of_indiscernibles.
• Identity_of_indiscernibles subject Category:Concepts_in_logic.
• Identity_of_indiscernibles subject Category:Concepts_in_metaphysics.
• Identity_of_indiscernibles subject Category:Gottfried_Leibniz.
• Identity_of_indiscernibles subject Category:Identity.
• Identity_of_indiscernibles subject Category:Ontology.
• Identity_of_indiscernibles subject Category:Principles.
• Identity_of_indiscernibles type Abstraction100002137.
• Identity_of_indiscernibles type Cognition100023271.
• Identity_of_indiscernibles type Concept105835747.
• Identity_of_indiscernibles type ConceptsInLogic.
• Identity_of_indiscernibles type Content105809192.
• Identity_of_indiscernibles type Generalization105913275.
• Identity_of_indiscernibles type Idea105833840.
• Identity_of_indiscernibles type Principle105913538.
• Identity_of_indiscernibles type Principles.
• Identity_of_indiscernibles type PsychologicalFeature100023100.
• Identity_of_indiscernibles comment "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.".
• Identity_of_indiscernibles label "Identidad de los indiscernibles".
• Identity_of_indiscernibles label "Identity of indiscernibles".
• Identity_of_indiscernibles label "Identität (Logik)".
• Identity_of_indiscernibles label "Principe d'identité des indiscernables".
• Identity_of_indiscernibles label "Principio degli indiscernibili".
• Identity_of_indiscernibles label "Princípio da identidade dos indiscerníveis".
• Identity_of_indiscernibles label "Zasada identyczności przedmiotów nierozróżnialnych".
• Identity_of_indiscernibles sameAs Identität_(Logik).
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• Identity_of_indiscernibles sameAs Principio_degli_indiscernibili.
• Identity_of_indiscernibles sameAs Zasada_identyczności_przedmiotów_nierozróżnialnych.
• Identity_of_indiscernibles sameAs Princípio_da_identidade_dos_indiscerníveis.
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• Identity_of_indiscernibles sameAs Q525506.
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• Identity_of_indiscernibles wasDerivedFrom Identity_of_indiscernibles?oldid=602888652.
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