In a sense, Einstein's theory is simpler than Newton's, and there is a corresponding sense in which Copernicus' theory is simpler than Ptolemy's.

Falling somewhere in a category between Einstein's theory and sand fleas -- difficult to see but undeniably there, nevertheless -- is the tropical green `` city '' of Islandia, a string of offshore islands that has almost no residents, limited access and an unlimited future.

What with traders trading for so many different objectives, and what with there being so many unique and individualized market theories and trading techniques in use, and more coming into use all the time, it is hard to imagine how any particular theory or technique could acquire enough `` fans '' to invalidate itself.

On the theory before us, such relief would be groundless, for in that suffering itself there was nothing bad at all, and hence in its nonoccurrence there would be nothing to be relieved about.

This reaction cannot be described in terms of Brønsted theory because there is no proton transfer.

For example, while the axiom of choice implies that there is a well-ordering of the real numbers, there are models of set theory with the axiom of choice in which no well-ordering of the reals is definable.

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 ).

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

At the beginning, it was considered a sort of Taoist sect, and there was even a theory about Laozi, founder of Taoism, who went to India and taught his philosophy to Buddha.

Moreover, there is the 1908 theory that America derives from Richard Amerike of Bristol, England, financier of John Cabot's 1497 expedition.

In modern times, there is another theory that some have come to believe.

Model theory generalizes the notion of algebraic extension to arbitrary theories: an embedding of M into N is called an algebraic extension if for every x in N there is a formula p with parameters in M, such that p ( x ) is true and the set

Nevertheless, there are still important problems in basic aerodynamic theory, such as in predicting transition to turbulence, and the existence and uniqueness of solutions to the Navier-Stokes equations.

According to bundle theory, an object consists of its properties and nothing more: thus neither can there be an object without properties nor can one even conceive of such an object ; for example, bundle theory claims that thinking of an apple compels one also to think of its color, its shape, the fact that it is a kind of fruit, its cells, its taste, or at least one other of its properties.

The traditional theory holds that John the Apostle — considered to have written the Gospel and the epistles of John — was exiled on Patmos in the Aegean archipelago during the reign of Domitian, and there wrote Revelation.

BCS theory starts from the assumption that there is some attraction between electrons, which can overcome the Coulomb repulsion.

MacKie's theory has fallen from favour too, mainly because from the 1970s there was a general move away from ' diffusionist ' explanations in archaeology towards those involving exclusively indigenous development.

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.

The Axioms required to make the theoretical machinery operate are set out tersely and powerfully, so that all permissible operations within the theory can be traced rigorously back to these axioms, rules, and primitive notions.

The lower-level hypotheses are never ' ad hoc ', never introduced ex post facto just to sweep up within the theory some recalcitrant datum.

There is little evidence that they are giving any systematic thought to a general theory of the optimum scope and nature of their part in government.

The cards of permanent out-migrants are, in theory, sent to an office in the place of new residence.

In theory, compulsive behavior is a way of diminishing anxiety, and one might expect a negative association except for the possibility that for many children the obsessive-compulsive defenses are not sufficient to quell the amount of anxiety they suffer.

This can only be for one of two reasons: either the two are quite different and will require totally different theory ( and hence techniques ), or our existing theories are insufficiently general.

A few of his examples are of very great interest, and the whole discussion of some importance for theory.

The theory claims to show by analysis that when we say, `` That is good '', we do not mean to assert a character of the subject of which we are thinking.

Once many significant phrases are found in theory or in recurrent practice to provide for prosodic necessity, they are not to be defended for their semantic properties in isolated contexts.

Other theories of origin are compatible with the formulaic theory: Beowulf may contain a design for terror, and The Iliad may have a vast hysteron-proteron pattern answering to a ceramic pattern produced during the Geometric Period in pottery.

Unless one takes refuge in the theory -- however disguised -- that Negroes are, somehow, different from white people, I do not see how one can escape the conclusion that the Negro's status in this country is not only a cruel injustice but a grave national liability.

Alchemists developed a framework of theory, terminology, experimental process and basic laboratory techniques that are still recognizable today.

" Thus Boolos and Jeffrey are saying that an algorithm implies instructions for a process that " creates " output integers from an arbitrary " input " integer or integers that, in theory, can be chosen from 0 to infinity.

In the book, he proposed and explained in detail a new theory of humankind: mankind as a " time-binding " class of life ( humans perform time binding by the transmission of knowledge and abstractions through time which are accreted in cultures ).

These are equivalent in the sense that, in the presence of other basic axioms of set theory, they imply the axiom of choice and are implied by it.

There are several results in category theory which invoke the axiom of choice for their proof.

On the other hand, other foundational descriptions of category theory are considerably stronger, and an identical category-theoretic statement of choice may be stronger than the standard formulation, à la class theory, mentioned above.

There are models of Zermelo-Fraenkel set theory in which the axiom of choice is false.

Brønsted-Lowry acid-base theory has several advantages over Arrhenius theory.

Corpuscularianism stayed a dominant theory over the next several hundred years.

( Despite common belief, he did not take a day from February ; see the debunked theory on month lengths ) According to a Senatus consultum quoted by Macrobius, he chose this month because it was the time of several of his great triumphs, including the conquest of Egypt.

He validated his theory by converting carbon disulfide, in several steps, to acetic acid ( 1843 – 45 ).

Alexander Grothendieck's work during the ` Golden Age ' period at IHÉS established several unifying themes in algebraic geometry, number theory, topology, category theory and complex analysis.

In the 1990s, Jürgen Schmidhuber described an algorithmic theory of beauty which takes the subjectivity of the observer into account and postulates: among several observations classified as comparable by a given subjective observer, the aesthetically most pleasing one is the one with the shortest description, given the observer ’ s previous knowledge and his particular method for encoding the data.

In the 1920s and 1930s almost every major cosmologist preferred an eternal steady state Universe, and several complained that the beginning of time implied by the Big Bang imported religious concepts into physics ; this objection was later repeated by supporters of the steady state theory.

This property is used in several theorems in complexity theory:

If the second theory is correct, this raises the further question of why the Persians, having hesitated for several days, then attacked.

The use of Bayesian probabilities as the basis of Bayesian inference has been supported by several arguments, such as the Cox axioms, the Dutch book argument, arguments based on decision theory and de Finetti's theorem.

Naive set theory is one of several theories of sets used in the discussion of the foundations of mathematics.

Charles Darwin proposed the theory of universal common descent through an evolutionary process in On the Origin of Species, twice stating the hypothesis that there was only one progenitor for all life forms and ending with " There is a grandeur in this view of life, with its several powers, having been originally breathed into a few forms or into one ".

This theory comes after several thousand years of inquiry into patterns and cognitive bias of humanity.

After World War II, several ideas from quantum field theory were applied to condensed matter problems.

Rosenthal cites several empirical paradigms in support of his theory.

Category theory has several faces known not just to specialists, but to other mathematicians.

Conservative Judaism is comfortable with higher criticism, including the documentary hypothesis, the theory that the Torah was redacted from several earlier sources.

In the course of studying the problem, Church and his student Stephen Kleene introduced the notion of λ-definable functions, and they were able to prove that several large classes of functions frequently encountered in number theory were λ-definable.

However this theory ignores the fact that the Soviet Union had already suffered several important setbacks during “ reactive and defensive strategy ” of “ containment ”.

There are Cauchy – Riemann equations, appropriately generalized, in the theory of several complex variables.

He would later collect several essays on content in The Intentional stance and synthesize his views on consciousness into a unified theory in Consciousness Explained.