The most general setting in which these words have meaning is an abstract branch of mathematics called category theory.

By general agreement, abstract entities cannot

Typically, abstraction is used in the arts as a synonym for abstract art in general.

A term dating from the 1940s, " general abstract nonsense ", refers to its high level of abstraction, compared to more classical branches of mathematics.

Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment.

For example, the abstract general idea or concept that is designated by the word " red " is that characteristic which is common to apples, cherries, and blood.

In other words, the difference between language and dialect is the difference between the abstract or general and the concrete and particular.

Dialectics as represented in dialectical materialism is a theory of the general and abstract factors that govern the development of nature, society, and thought.

Moreover, the original concept of Fourier analysis has been extended over time to apply to more and more abstract and general situations, and the general field is often known as harmonic analysis.

According to many Marxists influenced by Soviet Marxism, historical materialism is a specifically sociological method, while dialectical materialism refers to a more general, abstract, philosophy.

The general higher education and training that takes place in a university, college, or Institute of Technology usually includes significant theoretical and abstract elements, as well as applied aspects ( although limited offerings of internships or SURF programs attempt to provide practical applications ).

In general, the main results from this theory compare price-fixing methods across market structures, analyze the effect of a certain structure on welfare, and vary technological / demand assumptions in order to assess the consequences for an abstract model of society.

The Oxford Dictionary of Philosophy says it is the investigation of the most general and abstract features of the world and the categories with which we think, in order to " lay bare their foundations and presuppositions ".

In his above-mentioned account, he introduced the bra-ket notation, together with an abstract formulation in terms of the Hilbert space used in functional analysis ; he showed that Schrödinger's and Heisenberg's approaches were two different representations of the same theory, and found a third, most general one, which represented the dynamics of the system.

Tegmark writes that " abstract mathematics is so general that any Theory Of Everything ( TOE ) that is definable in purely formal terms ( independent of vague human terminology ) is also a mathematical structure.

Nominalism is a metaphysical view in philosophy according to which general or abstract terms and predicates exist, while universals or abstract objects, which are sometimes thought to correspond to these terms, do not exist.

According to Steven Pinker, the Kivunjo language has 16 noun classes including classes for precise locations and for general locales, classes for clusters or pairs of objects and classes for the objects that come in pairs or clusters, and classes for abstract qualities.

Universals are general or abstract qualities, characteristics, properties, kinds or relations, such as being male / female, solid / liquid / gas, or a certain colour, that can be predicated of individuals or particulars, or that individuals or particulars can be regarded as sharing or participating in.

Or they may be abstract, expressing, in more general terms, opposition to injustice and support for peace, or free thought, but audiences usually know what is being referred to.

In its most general formulation, quantum mechanics is a theory of abstract operators ( observables ) acting on an abstract state space ( Hilbert space ), where the observables represent physically observable quantities and the state space represents the possible states of the system under study.

With the later development of abstract groups, this result of Lagrange on polynomials was recognized to extend to the general theorem about finite groups which now bears his name.

" Is a " triangle " — an abstract idea — part of existence in the same way that a " man " — a physical body — is part of existence?

However, that would convey the idea of the physical body of people, whereas using the name of the language as the basis of the word gives it the more abstract connotation of a cultural sphere.

Thus one can understand equations by a pure understanding of abstract topology or geometry — this idea is of importance in algebraic geometry.

By the early 1960s minimalism emerged as an abstract movement in art ( with roots in geometric abstraction of Kazimir Malevich, the Bauhaus and Piet Mondrian ) that rejected the idea of relational and subjective painting, the complexity of abstract expressionist surfaces, and the emotional zeitgeist and polemics present in the arena of action painting.

He speculated that myths arose due to the lack of abstract nouns and neuter gender in ancient languages: anthropomorphic figures of speech, necessary in such languages, were eventually taken literally, leading to the idea that natural phenomena were conscious beings, gods.

Some theories further generalize the idea to include such things as unbounded polytopes ( apeirotopes and tessellations ), and abstract polytopes.

Platonic realism is a philosophical term usually used to refer to the idea of realism regarding the existence of universals or abstract objects after the Greek philosopher Plato ( c. 427 – c.

He argued that the " sign " was composed of both a signified, an abstract concept or idea, and a " signifier ", the perceived sound / visual image.

Pope Pius IX had condemned the idea of abstract religious freedom.

Various attempts were made to substantiate the " abstract idea " test, which suffers from abstractness itself, but eventually none of them was successful.

* Noun: any abstract or concrete entity ; a person ( police officer, Michael ), place ( coastline, London ), thing ( necktie, television ), idea ( happiness ), or quality ( bravery )

In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication.

Powerful discussions are claimed to arise from personal connections to an abstract idea ( thought, mental image or notion ) or from a personal value ( an idea that is desirable or worthy for its own sake ).

Further, this definition of trust is abstract, allowing different instances and observers in a trusted system to communicate based on a common idea of trust ( otherwise communication would be isolated in domains ), where all necessarily different subjective and intersubjective realizations of trust in each subsystem ( man and machines ) may coexist.

Apostrophe ( Greek ἀποστροφή, apostrophé, " turning away "; the final e being sounded ) is an exclamatory rhetorical figure of speech, when a speaker or writer breaks off and directs speech to an imaginary person or abstract quality or idea.

Various generalizations capture in an abstract form this idea of curvature as a measure of holonomy ; see curvature form.

We conceive the abstract idea of life in terms of our experiences of a journey, a year, or a day.

Applications of chain complexes usually define and apply their homology groups ( cohomology groups for cochain complexes ); in more abstract settings various equivalence relations are applied to complexes ( for example starting with the chain homotopy idea ).

When a man, for example, has obtained an idea of chairs in general by comparison with which he can say " This is a chair, that is a stool ", he has what is known as an " abstract idea " distinct from the reproduction in his mind of any particular chair ( see abstraction ).

< Dictionary. com http :// dictionary. reference. com / browse / symbolism >.</ ref > A symbol is an object, action, or idea that represents something other than itself, often of a more abstract nature.