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A modern concept similar to participation in classical Platonism; see the Theory of Forms; The instantiation principle, the idea that in order for a property to exist, it must be had by some object or substance; the instance being a specific object rather than the idea of it
The instantiation principle or principle of instantiation or principle of exemplification is the concept in metaphysics and logic (first put forward by David Malet Armstrong) that there can be no uninstantiated or unexemplified properties (or universals).
In predicate logic, existential instantiation (also called existential elimination) [1] [2] is a rule of inference which says that, given a formula of the form () (), one may infer () for a new constant symbol c.
In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition by showing that assuming the proposition to be false leads to a contradiction.
In logic and philosophy (especially metaphysics), a property is a characteristic of an object; for example, a red object is said to have the property of redness.The property may be considered a form of object in its own right, able to possess other properties.
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Consider the formal sentence . For some natural number , =.. This is a single statement using existential quantification. It is roughly analogous to the informal sentence "Either =, or =, or =, or... and so on," but more precise, because it doesn't need us to infer the meaning of the phrase "and so on."
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