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 ).

Because of independence, the decision whether to use of the axiom of choice ( or its negation ) in a proof cannot be made by appeal to other axioms of set theory.

Because directors exercise control and management over the organization, but organizations are ( in theory ) run for the benefit of the shareholders, the law imposes strict duties on directors in relation to the exercise of their duties.

Because many outstanding problems in number theory, such as Goldbach's conjecture are equivalent to solving the halting problem for special programs ( which would basically search for counter-examples and halt if one is found ), knowing enough bits of Chaitin's constant would also imply knowing the answer to these problems.

Because ethology is considered a topic of biology, ethologists have been concerned particularly with the evolution of behaviour and the understanding of behaviour in terms of the theory of natural selection.

Because of the preponderance of evidence in favor of the wave theory, however, Einstein's ideas were met initially with great skepticism among established physicists.

Because the group operation associates, parentheses have only one necessary use in group theory: to set the scope of the inverse operation.

Because the diffeomorphism invariance of the theory does not allow any particular space-time background to be singled out as the " true " space-time background, general relativity is said to be background independent.

Because of its close relation to the time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.

Because linear algebra is such a well-developed theory, nonlinear mathematical models are sometimes approximated by linear ones.

Because of its applicability in diverse fields of mathematics, mathematicians including Saunders Mac Lane have proposed category theory as a foundational system for mathematics, independent of set theory.

Because the dimensionality exceeds that of superstring theories in 10 dimensions, proponents believe that the 11-dimensional theory unites all five string theories ( and supersedes them ).

Because classes do not have any formal status in the theory of ZF, the axioms of ZF do not immediately apply to classes.

Because their units cancel, ratios of like-dimensioned physical constants do not depend on unit systems in this way, so they are pure dimensionless numbers whose values a future theory of physics could conceivably hope to predict.

Because of the connection between the Riemann zeta function and π ( x ), the Riemann hypothesis has considerable importance in number theory: if established, it would yield a far better estimate of the error involved in the prime number theorem than is available today.

Because the theory is ' sick ' for any negative value of the coupling constant, the series do not converge, but are an asymptotic series.

Because rational choice theory lacks understanding of consumer motivation, some economists restrict its use to understanding business behavior where goals are usually very clear.

Because that goal is significantly less vacuous than " maximizing utility " and the like, rational choice theory is apt.

Because of the relative success of economics at understanding markets, rational choice theory has also become increasingly employed in social sciences other than economics, such as sociology and political science in recent decades.

Because no isotope of technetium has a half-life longer than 4. 2 million years ( technetium-98 ), its detection in 1952 in red giants, which are billions of years old, helped bolster the theory that stars can produce heavier elements.

Because utilitarianism is not a single theory but a cluster of related theories that have developed over two hundred years criticisms can be made for different reasons and have different targets.

Because a wormhole time-machine introduces a type of nonlinearity into quantum theory, this sort of communication between parallel universes is consistent with Joseph Polchinski ’ s discovery of an “ Everett phone ” in Steven Weinberg ’ s formulation of nonlinear quantum mechanics.

Because of the memoryless property of this distribution, it is well-suited to model the constant hazard rate portion of the bathtub curve used in reliability theory.

Because of its wealth of experience, the Organization for European Economic Cooperation could help with the initial studies needed.

`` Because, Fred, it could do him no good.

Because of the authentic homogeneity of his early Nationalistic materials, and his flair for orchestrations -- his brilliant Petruchka, his savage Sacre Du Printemps, his incisive Les Noces -- the world kept hoping that he could recapture the historical direction for which his native talents were predisposed.

Because of its importance, and because the lack of price competition is well recognized, the industry is under considerable public pressure not to raise its price any more than could be justified by cost increases.

Because the ancients could not produce temperatures high enough to melt iron fully, the production of steel in decent quantities did not occur until the introduction of blister steel during the Middle Ages.

Because pig iron could be melted, people began to develop processes of reducing the carbon in the liquid pig iron to create steel.

Because ending the game is optional, and a player may not realize that he can end it, it is unethical to say " good game ", or in any other way indicate that the game could be ended, until after a player actually has ended the game.

" The Chicago Daily Tribune called it “ One of the most spectacular crimes of the 20th century, and what is believed to be the first airplane kidnap murder on record .” Because it occurred somewhere over three Missouri counties, and involved interstate transport of a stolen airplane, it raised questions in legal circles about where, by whom, and even whether he could be prosecuted.

Because of this dynamism, users could not be expected to access services by specifying their address.

: Because the AIM-54 ECCM / Sealed received no coolant, F-14 Tomcats carrying this version of the missile could not exceed a specified airspeed.

Because there is no selection pressure for sight in this environment, any number of genetic abnormalities that give rise to the damage or loss of eyes could proliferate among the population with no effect on the fitness of the population.

Because grocery stores are not permitted to carry wine or liquor, the older law essentially meant that only beer and alcoholic malt beverages could be purchased at all on Sundays.

Because Chaplin was not a trained musician, he could not read notes and needed the help of professional composers, such as David Raksin, Raymond Rasch and Eric James, when creating his scores.

Because each governor held equal imperium to the equivalent magistrate, they were escorted by the same number of lictors ( 12 ) and could only be vetoed by a reigning Consul or Praetor.

Because he could still be useful to a contending team, the Rockies traded him to the St. Louis Cardinals in August for three minor-leaguers.

Because of its chemical similarity to levomethorphan, DXM could also be treated as a Schedule II drug under the Federal Analog Act.

Because of this it could not raise a strong resistance against invaders, and were easily defeated and subjugated by the Shyris, ancient indigenous people who joined the Kingdom of Quito.

Because of the world's absurdity, at any point in time, anything can happen to anyone, and a tragic event could plummet someone into direct confrontation with the Absurd.

Because subwoofers are generally limited to a bandwidth of no higher than 150 Hz, the switching speed for the amplifier does not have to be as high as for a full range amplifier, and simpler designs could be utilized.

Because of Hitler's September 1 invasion of Poland, it was October before they could arrange for the letter to be personally delivered.

Because they were stationary, the viewer could not tell which character was talking unless its puppet moved up or down.

Because Arbenz could not be pressured to take into consideration the arguments made to prevent expropriation from UFCo, his government was undermined with propaganda.

Because Galen's works were not translated into Latin in the ancient period, and because of the collapse of the Roman Empire in the West, the study of Galen, along with the Greek medical tradition as a whole, went into decline in Western Europe during the Early Middle Ages, when very few Latin scholars could read Greek.

Because of industrialization and modernization of the trade and industry, and the rise of powerful nation-states that could directly issue patent and copyright protections — often revealing the trade secrets — the guilds ' power faded.