only the indiscernibility of identicals, others have interpreted it as the conjunction of the identity of indiscernibles and the indiscernibility of identicals...

of indiscernibles was one of the laws of thought of Gottfried Leibniz. In some contexts one considers the more general notion of order-indiscernibles, and...

(zero sharp, also 0#) is the set of true formulae about indiscernibles and order-indiscernibles in the Gödel constructible universe. It is often encoded...

systems of indiscernibles are poorly understood, and applications (such as the weak covering) tend to avoid rather than analyze the indiscernibles. If K exists...

of indiscernibles, which states that two distinct things cannot have all their properties in common. In mathematics, the identity of indiscernibles is...

identical with b {\displaystyle b} . The indiscernibles argument then asserts that the identity of indiscernibles is violated, for example, by identical...

for the principle of identity of indiscernibles, which states that two things are identical if they are indiscernible, i.e. if they share all their properties...

General Leibniz rule, a generalization of the product rule Identity of indiscernibles Leibniz (disambiguation) Leibniz's rule (disambiguation) This disambiguation...

of Indiscernibles. Oxford: Oxford University Press, 2014. ISBN 9780198712664 'Leibniz's argument for the Principle of Identity of Indiscernibles in Primary...

(non-negativity) d(x, y) = 0   if and only if   x = y     (identity of indiscernibles. Note that condition 1 and 2 together produce positive definiteness)...

difference of two real or complex numbers: non-negativity, identity of indiscernibles, symmetry and the triangle inequality given above, can be seen to motivate...

not the thing itself. Sorites paradox Theseus' paradox Identity of indiscernibles National symbol Neon sign Religious symbolism Representation Ferdinand...

contributions to the metaphysics of identity. In his "The Identity of Indiscernibles", Black presents an objection to Leibniz' Law by means of a hypothetical...

of telling these universes apart then, according to the identity of indiscernibles, there would be no real difference between them. According to the principle...

commonly red, but may be yellow, brown, green or (rarely) blue Cleavage Indiscernible Mohs scale hardness 6.5–7 Luster Vitreous Diaphaneity Opaque Specific...

gives rise to many philosophical problems, including the identity of indiscernibles (if x and y share all their properties, are they one and the same thing...

matter can be proven by employing Leibniz's principle of the identity of indiscernibles, which states that if two things share exactly the same qualities, then...

"Gottfried Wilhelm Leibniz (1646–1716) Metaphysics – 7. Space, Time, and Indiscernibles". The Internet Encyclopedia of Philosophy. Archived from the original...

deals with empirical problems, philosophy according to Danto examines indiscernible differences that lie outside of experience. Noel Carroll, writing as...

undulations may be visible (usually as "wavy bases"), but frequently they are indiscernible to the naked eye. These formations will generally appear in the early...

extensionally equal for the (current) population of this town. Identity of indiscernibles Univalence axiom Equality (mathematics) Type theory The Univalent Foundations...

principle I know it when I see it – Colloquial expression Identity of indiscernibles – Impossibility for separate objects to have all their properties in...

identical; to suppose two things indiscernible is to suppose the same thing under two names. The "identity of indiscernibles" is frequently invoked in modern...

axioms for a metric, except that instead of the second (identity of indiscernibles) only d ( x , x ) = 0 {\displaystyle d(x,x)=0} for all x {\displaystyle...

the world have been metamorphosed to the point where their origin is indiscernible without laboratory analysis. In addition, these processes can occur...

two distinct universes that were in all ways indiscernible, thus contradicting the identity of indiscernibles. Standing out in Clarke's (and Newton's) response...

also known as fungibility — or, as it might well be called, that of indiscernibility of identicals. It provides that, given a true statement of identity...

applies to relatively intelligible physical situations since it is indiscernible on the macroscopic scales that humans experience. Two alternative frameworks...

mind… The argument relies upon Leibniz' principle of the identity of indiscernibles, which states that two things are the same if and only if they share...

supervene on B-properties if and only if all things that are B-indiscernible are A-indiscernible. Formally: ∀ x ∀ y ( ∀ X ∈ B ( X x ↔ X y ) → ∀ Y ∈ A ( Y x...