Because there is no canonical well-ordering of all sets, a construction that relies on a well-ordering may not produce a canonical result, even if a canonical result is desired ( as is often the case in category theory ).

John Tomlinson provides a critique of cultural imperialism theory that relies on some of the key points.

Other archaeologists in Israel, including Amnon Ben-Tor, Amihai Mazar, William Dever and Lawrence Stager, reject this theory, claiming that it is contradicted by scientific understandings of strata formulation and the general development of the region, and that the theory relies overmuch on pottery seriation, a technique for dating sites using ceramic remains, which is a relative dating technique rather than a reliable technique such as carbon dating.

The basic radiosity method has its basis in the theory of thermal radiation, since radiosity relies on computing the amount of light energy transferred among surfaces.

The comprehensive theory of semiconductors relies on the principles of quantum physics to explain the motions of electrons through a lattice of atoms.

The efficiency of NA relies on information theory and a certain theorem of efficiency.

The theory of environmental governance by decentralisation relies on assumptions and in practice, these may not deem true.

Scientists who use reductionist methods often take an approach that relies on contradicting previous contributions in their own context to science in order to validate a new theory, when sometimes there is no need to disprove existing theories in order to provide new insight.

The global interpretation of the domino effect relies heavily upon the " prestige " interpretation of the theory, meaning that the success of Communist revolutions in some countries, though it did not provide material support to revolutionary forces in other countries, did contribute morale and rhetorical support.

Such elements include the essential idea of narrative structure, with identifiable beginnings, middles and endings, or exposition-development-climax-resolution-denouement, normally constructed into coherent plot lines ; a strong focus on temporality, which includes retention of the past, attention to present action, and protention / future anticipation ; a substantial focus on characters and characterization which is " arguably the most important single component of the novel "; a given heterogloss of different voices dialogically at play – " the sound of the human voice, or many voices, speaking in a variety of accents, rhythms and registers "; possesses a narrator or narrator-like voice, which by definition " addresses " and " interacts with " reading audiences ( see Reader Response theory ); communicates with a Wayne Booth-esque rhetorical thrust, a dialectic process of interpretation, which is at times beneath the surface, conditioning a plotted narrative, and other at other times much more visible, " arguing " for and against various positions ; relies substantially on now-standard aesthetic figuration, particularly including the use of metaphor, metonymy, synecdoche and irony ( see Hayden White, Metahistory for expansion of this idea ); is often enmeshed in intertextuality, with copious connections, references, allusions, similarities, parallels, etc.

Wantzel's proof relies on ideas from the field of Galois theory — in particular, trisection of an angle corresponds to the solution of a certain cubic equation, which is not possible using the given tools.

The EII theory relies mainly on five basic principles, namely 1 ) The co-existence of and the difference between explicit and implicit knowledge ; 2 ) The simultaneous involvement of implicit and explicit processes in most tasks ; 3 ) The redundant representation of explicit and implicit knowledge ; 4 ) The integration of the results of explicit and implicit processing ; and 5 ) The iterative ( and possibly bidirectional ) processing.

A third interpretation relies on the theory that an individual form is capable of having properties of its own.

Philosophically, the Entfremdung theory relies upon The Essence of Christianity ( 1841 ), by Ludwig Feuerbach, which argues that the supernatural idea of “ God ” has alienated the natural characteristics of the human being.

The theory was highly speculative as of first publishing in 2002, as it relies on no experimental evidence so far.

Unlike the scientific method which relies on peer reviewed experiments which attempt to prove or disprove a falsifiable hypothesis, exploratory engineering relies on peer review, simulation and other methods employed by scientists, but applies them to some hypothetical artifact, a specific and detailed hypothesized design or process, rather than to an abstract model or theory.

This type of learning relies on dual-coding theory.

His theory relies on the book of Maps of the Ancient Sea Kings by Charles Hapgood.

The labour theory of value was the explanation that had been reached by Adam Smith among others, and the Marxist school of economics still relies on this theory.

This theory is also subject to circular reasoning as it incorporates, at least in part, deprivation theory and relies upon it, and social / structural strain for the underlying motivation of social movement activism.

The central concern of Erich Auerbach's impressive volume called Mimesis is to describe the shift from a classic theory of imitation ( based upon a recognition of levels of truth ) to a Christian theory of imitation in which the levels are dissolved.

Despite popular opinion, Limbo, which was elaborated upon by theologians beginning in the Middle Ages, never entered into the teaching of the Roman Catholic Church, yet, at times, the church incorporated the theory in its ordinary belief.

This section draws upon the ideas, language and notation of canonical quantization of a quantum field theory.

However, Davy failed to develop a new theory, concluding that " acidity does not depend upon any particular elementary substance, but upon peculiar arrangement of various substances ".

John Miles Foley held, specifically with reference to the Beowulf debate, that while comparative work was both necessary and valid, it must be conducted with a view to the particularities of a given tradition ; Foley argued with a view to developments of oral traditional theory that do not assume, or depend upon, finally unverifiable assumptions about composition, and that discard the oral / literate dichotomy focused on composition in favor of a more fluid continuum of traditionality and textuality.

However, since piston-engined aircraft rely upon magnetos to provide spark to their cylinders rather than a battery powered ignition coil system, this theory is not strongly convincing.

The effect on cosmology of the dark energy that these models describe is given by the dark energy's equation of state, which varies depending upon the theory.

The theory of continental drift was superseded by the theory of plate tectonics, which builds upon and better explains why the continents move.

* Freeman Dyson expanded upon Neumann's automata theories, and advanced a biotechnology-inspired theory.

This has led to the very literal use of ' critical theory ' as an umbrella term to describe any theory founded upon critique.

As a term, critical theory has two meanings with different origins and histories: the first originated in sociology and the second originated in literary criticism, whereby it is used and applied as an umbrella term that can describe a theory founded upon critique ; thus, the theorist Max Horkheimer described a theory as critical in so far as it seeks " to liberate human beings from the circumstances that enslave them.

As such, critical theory was left, in Jürgen Habermas ’ words, without " anything in reserve to which it might appeal ; and when the forces of production enter into a baneful symbiosis with the relations of production that they were supposed to blow wide open, there is no longer any dynamism upon which critique could base its hope.

Some consider literary theory merely an aesthetic concern, as articulated, for example, in Joseph Addison's notion of a critic as one who helps understand and interpret literary works: " A true critic ought to dwell rather upon excellences than imperfections, to discover the concealed beauties of a writer, and communicate to the world such things as are worth their observation.

And thus incidentally critical theory in the sociological sense also became, especially among literary scholars of left-wing sympathies, one of a number of influences upon and streams within critical theory in the literary sense.

Although most electrical engineers will understand basic circuit theory ( that is the interactions of elements such as resistors, capacitors, diodes, transistors and inductors in a circuit ), the theories employed by engineers generally depend upon the work they do.

He was awarded the requisite habilitation for his thesis, also on number theory, which he presented in 1869 upon his appointment at Halle.

He feels himself obliged to metamorphose my historical sketch of the genesis of capitalism in Western Europe into an historico-philosophic theory of the marche generale imposed by fate upon every people, whatever the historic circumstances in which it finds itself, in order that it may ultimately arrive at the form of economy which will ensure, together with the greatest expansion of the productive powers of

This theory hinged upon the identity of the Su-Te as the Yan-Cai ( 奄蔡 ), as claimed by the Wei-shu.

Sir Isaac Newton was probably the discoverer of astigmation ; the position of the astigmatic image lines was determined by Thomas Young ( A Course of Lectures on Natural Philosophy, 1807 ); and the theory was developed by Allvar Gullstrand.

Many historians now hold the position that blitzkrieg was not a military theory, and the campaigns conducted by the German military in 1939 to circa, 1942 ( with the exception of Operation Barbarossa ) were improvised invasions put together and modified at the last moment and therefore was not a proper military strategy.

Although Bohr, Fowler, Pauli, and other physicists agreed with Chandrasekhar's analysis, at the time, owing to Eddington's status, they were unwilling to publicly support Chandrasekhar .< sup >, pp. 110 – 111 </ sup > Through the rest of his life, Eddington held to his position in his writings, including his work on his fundamental theory.

* Down ( game theory ), a standard position in mathematical game theory

Marxist theory allows for the possibility that Labour content can serve as a common means of valuing capital goods, a position now out of favour with economists following the success of the theory of marginal utility.

A more moderate position such as J. L. Mackie's error theory suggests that false beliefs should be stripped away from a mental concept without eliminating the concept itself, the legitimate core meaning being left intact.

Ephemeris time was a first application of the concept of a dynamical time scale, in which the time and time scale are defined implicitly, inferred from the observed position of an astronomical object via the dynamical theory of its motion.

One of the most forceful critics of Carlyle's formulation of the Great Man theory was Herbert Spencer, who believed that attributing historical events to the decisions of individuals was a hopelessly primitive, childish, and unscientific position.

His theory of justice uses a device called the original position to ask us which principles of justice we would choose to regulate the basic institutions of our society if we were behind a ' veil of ignorance.

Rawls's theory distinguishes two kinds of goods – ( 1 ) liberties and ( 2 ) social and economic goods, i. e. wealth, income and power – and applies different distributions to them – equality between citizens for ( 1 ), equality unless inequality improves the position of the worst off for ( 2 ).

Another theory states he waited for the sun to get in the right position.

During 1946, Friedman accepted an offer to teach economic theory at the University of Chicago ( a position opened by departure of his former professor Jacob Viner to Princeton University ).

Following Pedersen, Illich-Svitych, and Dolgopolsky, most advocates of the theory have included Afroasiatic, though criticisms by Joseph Greenberg and others from the late 1980s onward suggested a reassessment of this position.

Beard and Gloag support this position, citing Jameson's theory that " the radical changes of musical styles and languages throughout the 1960s now seen as a reflection of postmodernism " ( Beard and Gloag 2005, 142 ; see also Harvey 1990 ).

To step outside of literary theory, this position is generalizable to any situation where a subject perceives a sign.

Dennett argues that Gould alternated between revolutionary and conservative claims about the theory, and that each time Gould made a revolutionary statement — or appeared to do so — he was criticized, and thus retreated to a traditional neo-Darwinian position.

Based on Mauss, for instance, Lévi-Strauss argued that kinship systems are based on the exchange of women between groups ( a position known as ' alliance theory ') as opposed to the ' descent ' based theory described by Edward Evans-Pritchard and Meyer Fortes.

" Singer argued that, although there may be differences between animals and humans, they share the capacity to suffer, and we must give equal consideration to that suffering ; any position that allows similar cases to be treated in a dissimilar fashion fails to qualify as an acceptable moral theory.

* Rationalism, a philosophical position, theory, or view that reason is the source of knowledge

He joined a research group of Klein's students ( including Hanna Segal and Herbert Rosenfeld ), who were developing Klein's theory of the paranoid-schizoid position, for use in the analysis of patients with psychotic disorders, and became a leading member of the Kleinian school.

Lakoff and Núñez cite Saunders MacLane ( the inventor, with Samuel Eilenberg, of category theory ) in support of their position.