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Property (logic)
In logic and philosophy (especially metaphysics), a property is a characteristic of an Object (philosophy), object; 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. A property, however, differs from individual objects in that it may be instantiation principle, instantiated, and often in more than one object. It differs from the logical/mathematical concept of class (set theory), class by not having any concept of extensionality, and from the philosophical concept of class (philosophy), class in that a property is considered to be distinct from the objects which possess it. Understanding how different individual entities (or particulars) can in some sense have some of the same properties is the basis of the problem of universals. Terms and usage A property is any member of a class of entities that are capable of being attributed to objects. Terms similar to ''property'' include ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russell’s Paradox
In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox discovered by the British philosopher and mathematician Bertrand Russell in 1901. Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. The paradox had already been discovered independently in 1899 by the German mathematician Ernst Zermelo. However, Zermelo did not publish the idea, which remained known only to David Hilbert, Edmund Husserl, and other academics at the University of Göttingen. At the end of the 1890s, Georg Cantor – considered the founder of modern set theory – had already realized that his theory would lead to a contradiction, which he told Hilbert and Richard Dedekind by letter. According to the unrestricted comprehension principle, for any sufficiently well-defined property, there is the set of all and only the objects that have that property. Let ''R'' be the set of all sets that are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Substance Theory
Substance theory, or substance–attribute theory, is an ontological theory positing that objects are constituted each by a ''substance'' and properties borne by the substance but distinct from it. In this role, a substance can be referred to as a ''substratum'' or a ''thing-in-itself''. ''Substances'' are particulars that are ontologically independent: they are able to exist all by themselves. Another defining feature often attributed to substances is their ability to ''undergo changes''. Changes involve something existing ''before'', ''during'' and ''after'' the change. They can be described in terms of a persisting substance gaining or losing properties. ''Attributes'' or ''properties'', on the other hand, are entities that can be exemplified by substances. Properties characterize their bearers, they express what their bearer is like. ''Substance'' is a key concept in ontology and metaphysics, which may be classified into monist, dualist, or pluralist varieties according to how ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophy Of Mind
Philosophy of mind is a branch of philosophy that studies the ontology and nature of the mind and its relationship with the body. The mind–body problem is a paradigmatic issue in philosophy of mind, although a number of other issues are addressed, such as the hard problem of consciousness and the nature of particular mental states.Siegel, S.: ''The Contents of Visual Experience''. New York: Oxford University Press. 2010.Macpherson, F. & Haddock, A., editors, ''Disjunctivism: Perception, Action, Knowledge'', Oxford: Oxford University Press, 2008. Aspects of the mind that are studied include mental events, mental functions, mental property, mental properties, consciousness and neural correlates of consciousness, its neural correlates, the ontology of the mind, the nature of cognition and of thought, and the relationship of the mind to the body. Dualism (philosophy of mind), Dualism and monism are the two central schools of thought on the mind–body problem, although nuanced vie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Property Dualism
Property dualism describes a category of positions in the philosophy of mind which hold that, although the world is composed of just one kind of substance— the physical kind—there exist two distinct kinds of properties: physical properties and mental properties. In other words, it is the view that non-physical, mental properties (such as thoughts, imagination and memories) exist in, or naturally supervene upon, certain physical substances (namely brains). Substance dualism, on the other hand, is the view that there exist in the universe two fundamentally different kinds of substance: physical (matter) and non-physical (mind or consciousness), and subsequently also two kinds of properties which inhere in those respective substances. Substance dualism is thus more susceptible to the mind–body problem. Both substance and property dualism are opposed to reductive physicalism. Non-reductive physicalism Non-reductive physicalism is the predominant contemporary form of prop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nominalism
In metaphysics, nominalism is the view that universals and abstract objects do not actually exist other than being merely names or labels. There are at least two main versions of nominalism. One version denies the existence of universalsthings that can be instantiated or exemplified by many particular things (e.g., strength, humanity). The other version specifically denies the existence of abstract objectsobjects that do not exist in space and time. Most nominalists have held that only physical particulars in space and time are real, and that universals exist only ''post res'', that is, subsequent to particular things. However, some versions of nominalism hold that some particulars are abstract entities (e.g., numbers), while others are concrete entities – entities that do exist in space and time (e.g., pillars, snakes, bananas). Nominalism is primarily a position on the problem of universals. It is opposed to realist philosophies, such as Platonic realism, which assert that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
David Malet Armstrong
David Malet Armstrong (8 July 1926 – 13 May 2014), often D. M. Armstrong, was an Australian philosopher. He is well known for his work on metaphysics and the philosophy of mind, and for his defence of a factualist ontology, a functionalist theory of the mind, an externalist epistemology, and a necessitarian conception of the laws of nature. He was elected a Foreign Honorary Member of the American Academy of Arts and Sciences in 2008. Keith Campbell said that Armstrong's contributions to metaphysics and epistemology "helped to shape philosophy's agenda and terms of debate", and that Armstrong's work "always concerned to elaborate and defend a philosophy which is ontically economical, synoptic, and compatibly continuous with established results in the natural sciences". Life and career After studying at the University of Sydney, Armstrong undertook a B.Phil. at the University of Oxford and a Ph.D. at the University of Melbourne. He taught at Birkbeck College in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.Stanford Encyclopedia of Philosophy"Bertrand Russell" 1 May 2003. He was one of the early 20th century's most prominent logicians, and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against idealism". Together with his former teacher A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major attempt to reduce the whole ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trope (philosophy)
Trope denotes figurative and metaphorical language and one which has been used in various technical senses. The term ''trope'' derives from the Greek τρόπος (''tropos''), "a turn, a change", related to the root of the verb τρέπειν (''trepein''), "to turn, to direct, to alter, to change"; this means that the term is used metaphorically to denote, among other things, metaphorical language. The term is also used in technical senses, which do not always correspond to its linguistic origin. Its meaning has to be judged from the context, some of which are given below. Basic meaning as metaphor Here a trope is a figurative and metaphorical use of a word or a phrase. The verb ''to trope'' means then to make a trope. In epistemology A trope or "mode" refers to skeptical stock arguments or "ways of refuting dogmatism." There are two sets of these tropes: the ten modes of Aenesidemus and the five modes of Agrippa. In metaphysics Trope theory (or trope nominalism) in metaph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Particulars
In metaphysics, particulars or individuals are usually contrasted with universals. Universals concern features that can be exemplified by various different particulars. Particulars are often seen as concrete, spatiotemporal entities as opposed to abstract entities, such as properties or numbers. There are, however, theories of ''abstract particulars'' or '' tropes''. For example, Socrates is a particular (there's only one Socrates-the-teacher-of-Plato and one cannot make copies of him, e.g., by cloning him, without introducing new, distinct particulars). Redness, by contrast, is not a particular, because it is abstract and multiply instantiated (for example a bicycle, an apple, and a given woman's hair can all be red). In nominalist view everything is particular. Universals in each moment of time from point of view of an observer is the collection of particulars that participates it (even a void collection). Overview Sybil Wolfram Sybil Wolfram, ''Philosophical Logic'', Routledge, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universals
In metaphysics, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These two chairs both share the quality of " chairness", as well as greenness or the quality of being green; in other words, they share a "universal". There are three major kinds of qualities or characteristics: types or kinds (e.g. mammal), properties (e.g. short, strong), and relations (e.g. father of, next to). These are all different types of universals. Paradigmatically, universals are '' abstract'' (e.g. humanity), whereas particulars are ''concrete'' (e.g. the personhood of Socrates). However, universals are not necessarily abstract and particulars are not necessarily concrete. For example, one might hold that numbers are particular yet abstract objects. Likew ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
