The identity of indiscernibles is an ontological principle that states that there cannot be separate objects or entities that have all their properties...

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

identity 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...

. The indiscernibles argument then asserts that the identity of indiscernibles is violated, for example, by identical sheets of paper. All of their qualitative...

the so-called identity of indiscernibles attributed to Gottfried Wilhelm Leibniz, and other "logical truths". The expression "laws of thought" gained...

non-negativity, identity of indiscernibles, symmetry and the triangle inequality given above, can be seen to motivate the more general notion of a distance...

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

task of learning a distance function over objects. A metric or distance function has to obey four axioms: non-negativity, identity of indiscernibles, symmetry...

philosophical problem Doctrine of internal relations Emergent properties Grelling–Nelson paradox Identity of indiscernibles (or "Leibniz's law") Intension...

lack one or more properties of proper metrics. For example, pseudometrics violate property (2), identity of indiscernibles; quasimetrics violate property...