Sheets-Johnstone compares Rank's thought to that of three major Western philosophers — René Descartes, Martin Heidegger and Jacques Derrida: " Because immortality ideologies were originally recognized and in fact so named by Rank, a close examination of his writings on the subject is not only apposite but is itself philosophically rewarding ... Rank was a Freudian dissident who, in introducing the concept of immortality ideologies, traced out historical and psychological roots of ' soul-belief ' ( Seelenglaube )... chapter points up the extraordinary cogency of Rank's distinction between the rational and the irrational to the question of the human need for immortality ideologies " ( Sheets-Johnstone, 2008, p. 64 ).

:: Because f ( x ) = e < sup > x </ sup > is guaranteed for rational x by the above properties ( see below ), one could also use monotonicity or other properties to enforce the choice of e < sup > x </ sup > for irrational x, but such alternatives appear to be uncommon.

Because of this, no proof could be found to show that the odd zeta constants were irrational, even though they were — and still are — all believed to be transcendental.

Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.

Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers.

Because this system is based on automatic number identification ( not caller ID ) and meant for phone company technicians, the ANAC system works with unlisted numbers, numbers with caller ID blocking, and numbers with no outgoing calls allowed.

Because these two definitions can be transformed simply by into the other, some formulae have this alternatingly (- 1 )< sup > n </ sup >- term and others not depending on the context, but it is not possible to decide in favor of one of these definitions to be the correct or appropriate or natural one ( for the abstract Bernoulli numbers ).

Because of its large size, Cs < sup >+</ sup > usually adopts coordination numbers greater than six-coordination, which is typical for the lighter alkali metal cations.

Because of the low numbers of dental schools, funding for building and service developments in the schools can be very high.

Because this geometrical interpretation of multiplication was limited to three dimensions, there was no direct way of interpreting the product of four or more numbers, and Euclid avoided such products, although they are implied, e. g., in the proof of book IX, proposition 20.

Because of the importance of air superiority, since the dawn of aerial combat armed forces have constantly competed to develop technologically superior fighters and to deploy these fighters in greater numbers, and fielding a viable fighter fleet consumes a substantial proportion of the defense budgets of modern armed forces.

" Because the shift was typically not accompanied by a commensurate development of community-based services, critics say that deinstitutionalization has led to large numbers of people who would once have been inpatients being incarcerated in jails and prisons or becoming homeless when outpatient services are not available or they choose not to adhere to treatment outside the hospital.

Because the German economy could not produce adequate numbers of their half track APC, barely a quarter or a third of the infantry in Panzer or Panzergrenadier divisions was mechanized, except in a few favored formations.

Because the result of scaling by whole numbers can be thought of as consisting of some number of copies of the original, whole-number products greater than 1 can be computed by repeated addition ; for example, 3 multiplied by 4 ( often said as " 3 times 4 ") can be calculated by adding 4 copies of 3 together:

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 algebraic numbers form an algebraically closed field, this would imply that the roots of the polynomial, a and b, must be algebraic.

Because of their numbers, developing countries are often able to determine the agenda of the Assembly ( using coordinating groups like the G77 ), the character of its debates, and the nature of its decisions.

Because these sets are not larger than the natural numbers in the sense of cardinality, some may not want to call them uncountable.

Because the data layout is " known " — a set of numbers arranged sequentially in memory — the pipelines can be tuned to improve the performance of fetches.

Because the left-hand side of the equation is a sum of the squares of real numbers it is greater than or equal to zero, thus:

Because the population of Côte d ' Ivoire was insufficient to meet the labor demand on French plantations and forests, which were among the greatest users of labor in French West Africa, the French recruited large numbers of workers from Upper Volta to work in Côte d ' Ivoire.

Because some people have both Bacon and Erdős numbers due to acting and publications, there are a rare few who have an Erdős – Bacon number, which is defined as the sum of a person's independent Erdős and Bacon numbers.

Because unrelated people almost certainly have different numbers of repeat units, STRs can be used to discriminate between unrelated individuals.

Because warfare had caused large numbers of the population ( mainly in the countryside ) to die or to flee, numerous immigrants arrived from Switzerland, Germany, Austria, Lorraine, Savoy and other areas after 1648 and until the mid-18th century.

Because the real numbers are not countable, computers cannot represent them exactly using a finite amount of information.

Because Bright's speeches were so much a part of him, there are long and numerous quotations, which, far from making the biography diffuse, help to give us the feel of the man.

Because God is what He is, the laws of the universe, material and spiritual, are what they are.

Because, honey, I thought silently, there are plenty of desert islands in every marriage -- long periods when you're hopelessly stranded, together.

Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.

Because they are `` minority '' exercises and have but a limited appeal they soon find themselves in the limbo of the forgotten.

Because of this, it would appear inevitable that an increasing percentage of strategic missiles will seek self-protection in mobility -- at least until missile defenses are perfected which have an exceedingly high kill probability.

( Note: Because of light leakage from one ultraviolet source to another, the lights are switched by a commutator-like assembly rotated by a synchronous motor.

Because of their location, on the edge of the feed lot, fence-line bunks are not in the way of mechanical manure removal.

Because agricultural activities are seasonal and the areas of production and harvest of many foods are widely scattered geographically, and because of the high cost of transporting bulk food items any substantial distance to a central processing location, the use of large central processing stations, where low-cost radiation facilities approaching the megawatt range might be utilized, is inherently impracticable.

Because electrical forces ( the charge-excess ) are far more powerful than gravitation, the surface hydrogen atoms would shoot away from the sphere.

Because the levels themselves are random variables, some assumptions and the method of contrasting the treatments ( a multi-variable generalization of simple differences ) differ from the fixed-effects model.

Because constitutional claims are of great magnitude, appellate courts might be more lenient to review the claim even if it was not preserved.

Because of the ocean's great capacity to store and release heat, maritime climates are more moderate and have less extreme seasonal variations than inland climates.

Because of its simplicity, star hopping is a very common method for finding objects that are close to naked-eye stars.

Because CCD imagers are linear, image processing may be used to subtract away the effects of light pollution, which has increased the popularity of astrophotography in urban areas.

Because all clades are represented in the southern hemisphere but many not in the northern hemisphere, it is natural to conjecture that there is a common southern origin to them.

Because of their biological significance, amino acids are important in nutrition and are commonly used in nutritional supplements, fertilizers, and food technology.

Because of their relatively large mass, + 2 electric charge and relatively low velocity, alpha particles are very likely to interact with other atoms and lose their energy, so their forward motion is effectively stopped within a few centimeters of air.

Because of the tortuous terrain in places, villages and towns in the mountains — to which travel via motorized vehicles are of little use — are still located in the high Andes of Argentina, Bolivia, Peru, and Ecuador.

Because Ambrosius and Vortigern are shown in the Historia Brittonum as being in conflict, some historians have suspected that this preserves a historical core of the existence of two parties in opposition to one another, one headed by Ambrosius and the other by Vortigern.

Because of its elevation and distance from the coast, the Australian Capital Territory experiences four distinct seasons, unlike many other Australian cities whose climates are moderated by the sea.