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Abstract objects are most commonly used in philosophy, particularly metaphysics, and semantics. They are sometimes called abstracta in contrast to concreta. The term abstract object is said to have been coined by Willard Van Orman Quine. [5] Abstract object theory is a discipline that studies the nature and role of abstract objects. It holds ...
Abstract Objects: An Introduction to Axiomatic Metaphysics (1983) is the title of a publication by Edward Zalta that outlines abstract object theory.. AOT is a dual predication approach (also known as "dual copula strategy") to abstract objects [3] [4] influenced by the contributions of Alexius Meinong [5] [6] and his student Ernst Mally.
A notion that philosophy, especially ontology and the philosophy of mathematics, should abstain from set theory owes much to the writings of Nelson Goodman (see especially Goodman 1940 and 1977), who argued that concrete and abstract entities having no parts, called individuals, exist. Collections of individuals likewise exist, but two ...
A physical object (a possible referent of a concept or word) is considered concrete (not abstract) if it is a particular individual that occupies a particular place and time. However, in the secondary sense of the term 'abstraction', this physical object can carry materially abstracting processes.
In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked by "arrows". A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object.
A concrete category is a pair (C,U) such that . C is a category, and; U : C → Set (the category of sets and functions) is a faithful functor.; The functor U is to be thought of as a forgetful functor, which assigns to every object of C its "underlying set", and to every morphism in C its "underlying function".
In ontology and the philosophy of mind, a non-physical entity is an object that exists outside physical reality. The philosophical schools of idealism and dualism assert that such entities exist, while physicalism asserts that they do not. Positing the existence of non-physical entities leads to further questions concerning their inherent ...
An abstract, high-level construal of an activity (e.g., "learning to speak French") may lead to a more positive evaluation of that activity than a concrete, low-level construal (e.g., "learning to conjugate the irregular French verb 'avoir ' "). Thus, CLT predicts that we will think about the value of the low-level construals when evaluating an ...