what is leibniz's principle of indiscernibility? - EAS
- It states that no two distinct things exactly resemble each other. This is often referred to as ‘Leibniz’s Law’ and is typically understood to mean that no two objects have exactly the same properties. The Identity of Indiscerniblesis of interest because it raises questions about the factors which individuate qualitatively identical objects.
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; to suppose two things indiscernible is to suppose the same thing under two names.
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See morehttps://plato.stanford.edu/entries/identity-indiscernible- The Identity of Indiscernibles (hereafter called the Principle) isusually formulated as follows: if, for every property F,object x has F if and only if object y hasF, then x is identical to y. Or in thenotation of symbolic logic: This formulation of the Principle is equivalent to the Dissimilarityof the Diverse as McTaggart called it, namely: if x ...
- Most formulations of the Principle carry a prima facie commitment toan ontology of properties, but nominalists of various kinds shouldhave little difficulty in providing suitable paraphrases to avoid thiscommitment. (For instance, by using plural quantification. See Boolos1984, Linnebo 2…
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- https://oxford.universitypressscholarship.com/view/...
This book is a study of Leibniz’s Principle of Identity of Indiscernibles, the principle that rules out numerically distinct but perfectly similar things. The Identity of Indiscernibles was a central principle in Leibniz’s philosophy. Leibniz derived it from more basic principles and used it to establish important philosophical theses.
- https://trinities.org/blog/a-formulation-of...
Jul 21, 2011 · In the italicized line, I’m applying something called Leibniz’s Law, or the Indiscernibility of Identicals. I sometimes put this roughly as, some x and some y can be numerically identical only if whatever is true of one is true of the …
- https://www.britannica.com/science/identity-of-indiscernibles
identity of indiscernibles, principle enunciated by G.W. Leibniz that denies the possibility of two objects being numerically distinct while sharing all their properties in common. More formally, the principle states that if x is not identical to y, then there is some property P such that P holds of x and does not hold of y, or that P holds of y and does not hold of x.
- https://en.wikipedia.org/wiki/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, discusse…
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- https://www.rep.routledge.com/.../v-1/sections/leibnizs-principle
The principle of the identity of indiscernibles states that objects which are alike in all respects are identical. It is sometimes called Leibniz ’s Law. This name is also frequently used for the converse principle, the indiscernibility of identicals, that objects which are identical are alike in all respects. Both principles together are sometimes taken to define the concept of identity.
- https://quod.lib.umich.edu/cgi/p/pod/dod-idx/is-leibnizs-principle-of-the-identity-of...
Leibniz understands the PII, independently of its modal status. Sec-tion 2 surveys several arguments for the contingency of Leibniz’s PII and shows why they are not conclusive. Section 3 argues for the neces-sity of Leibniz’s PII, with a special focus on the correspondence with Clarke. Section 4 responds to three objections that might be raised
Indiscernibility of identicals - HKT Consultant
https://sciencetheory.net/indiscernibility-of-identicalsApr 19, 2020 · Indiscernibility of identicals. One part of Leibniz’s law, named by Willard Van Orman Quine (1908-2000), the American mathematical logician. It says that if what appear to be two or more objects are in fact identical, there can be no property held by one and not by the others.
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