Whereas Plato idealized geometry, Aristotle emphasized nature and related disciplines and therefore much of his thinking concerns living beings and their properties.

Whereas Plato had sought to explain things with his theory of Forms, Aristotle preferred to start from the facts given by experience.

Whereas some venerated him for his aggressive stance against Israel, including firing missiles at Israeli targets, he was widely condemned for the brutality of his dictatorship.

Whereas Pius IX was seen as having isolated the Church from international opinion ( his locking of Jews into ghettos and treatment of minorities had been condemned by world leaders such as William Ewart Gladstone ), Leo was seen as an " internationalist " who could earn back the Vatican some international respect.

Whereas this belief was only one of many beliefs held about the World to Come in Second Temple Judaism, and was notably rejected by the Sadducees, this belief became dominant within Early Christianity and soon included an insistence on the resurrection of the flesh, against gnostic teachings that flesh was evil.

Whereas Kuhn's paradigm is an all-encompassing collection of beliefs and assumptions that result in the organization of scientific worldviews and practices, Foucault's episteme is not merely confined to science but to a wider range of discourse ( all of science itself would fall under the episteme of the epoch ).

Whereas Krishnamacharya was deeply devoted to Vaishnavism, he also respected his students ’ varying religious beliefs, or nonbeliefs.

Whereas Social Statics had been the work of a radical democrat who believed in votes for women ( and even for children ) and in the nationalization of the land to break the power of the aristocracy, by the 1880s he had become a staunch opponent of female suffrage and made common cause with the landowners of the Liberty and Property Defence League against what they saw as the drift towards ' socialism ' of elements ( such as Sir William Harcourt ) within the administration of William Ewart Gladstone – largely against the opinions of Gladstone himself.

In modern times, opinions differ, although the principle stays the same: Whereas one would formerly engage in a Mensur to be hit, many fencing students of today will rather engage in combat in order to prove their competence by not being wounded, instead focusing on reinforcing the bond to one's brothers by sharing hope and fear.

And Whereas in such event a respect for the opinions of mankind requires them to declare to other nations the causes which impel them to assume full responsibility for their own affairs.

" Whereas they stated, certain persons from the neighboring State of Missouri have, from time to time, made irruptions into this territory, and have fraud and force driven from and overpowered our people at the ballot-box, and have forced upon us a Legislature which does not represent the opinions of the legal voters of this Territory.

Whereas, under the third interpretation, only the rationale ( s ) common to all concurring opinions which arrive at the same result ( s ) ( and to the exclusion of all other rationales ) is considered the holding.

Whereas some legendary opinions that the railway which acquire the land owned by a lady named Lalmoni for which people kept the place after her name as the recognition of her contribution of land for the rail line.

Whereas the term chess puzzle refers broadly to any puzzle involving aspects of chess, a chess problem is an orthodox puzzle ( see below ) in which one must play and win or draw a game, starting with a certain composition of pieces on the chess board, and playing within the standard rules of chess.

Whereas the tert-butyl tetrahedrane melts at 135 ° C, at which temperature decomposition to the cyclobutadiene starts, the trimethylsilyl tetrahedrane melts at a much higher temperature of 202 ° C, and is stable up to 300 ° C, at which point it reverts to the acetylene starting material.

The long title was traditionally followed by the preamble, an optional part of an Act setting out a number of preliminary statements of facts similar to recitals, each starting Whereas ....

Whereas the Bunny Hop starts with a right foot lead, the Letkajenkka transformed into a dance based on the same step, but starting with a left leg lead.

Whereas a perspective is occupied as a matter of the fact of one ’ s socio-historical position and may well provide the starting point for the emergence of a standpoint, a standpoint is earned through the experience of collective political struggle, a struggle that requires both science and politics.

Whereas up until this point the Dutch presence had been simply as traders, that was sometimes treaty-based, the Banda conquest marked the start of the first overt colonial rule in Indonesia albeit under the auspices of the VOC.

Whereas consequentialist theories posit that consequences of action should be the primary focus of our thinking about ethics, virtue ethics insists that it is the character rather than the consequences of actions that should be the focal point.

Whereas hollow point and soft-tipped bullets are designed to expand upon impact, full metal jacket bullets are limited in their capacity to expand.

Whereas salsa occasionally superimposes elements of another genre, or incorporates a non-salsa style in the bridge of a song, Cuban popular music since the 1970s has fully integrated North American jazz and funk to the point of true hybrid.

" Whereas, there is a certaine parcel of land situated on the West side of Delaware Bay the which hath been certified by the Court at the Horekill and laide out for William Burton the saide Land being called the Long Neck lying on the South side of Rehoboth Bay and on the North side of the Greate River beginning at a point of woods and running West up the Greate River one thousand perches to a White Oak at the head of a small creek called Indian Cabin Creek and from thence North three hundred and fifty perches to a White Oak standing by a creek side called Middle Creek with a line of marked trees and from thence bounder upon the aforesaid Bay to the first bounded point Southeast one thousand perches containing One Thousand Acres of Land.

Whereas Annie's adventures up to the point of Punjab's appearance were realistic and believable, her adventures following his introduction touched upon the supernatural, the cosmic, and the fantastic.

Whereas the ( global ) Lyapunov exponent gives a measure for the total predictability of a system, it is sometimes interesting to estimate the local predictability around a point x < sub > 0 </ sub > in phase space.

Whereas at one point, he had the power to exile his opponents ( and, thus, eviscerate individual criticism ) to border regions of the state, he died when torn into pieces by chariots.

Whereas a normal pendulum is stable when hanging downwards, an inverted pendulum is inherently unstable, and must be actively balanced in order to remain upright ; this can be done either by applying a torque at the pivot point, by moving the pivot point horizontally as part of a feedback system, changing the rate of rotation of a mass mounted on the pendulum on an axis parallel to the pivot axis and thereby generating a net torque on the pendulum, or by oscillating the pivot point vertically.

Whereas spherical geometry has a constant positive curvature, hyperbolic geometry has a negative curvature: every point in hyperbolic space is a saddle point.

Whereas Gunther Wolf judged that the Concilium was the high point in Boniface's long career, other scholars such as Matthias Schuler place that high point in 747, Boniface's Frankish synod.

Whereas Polychrome met the Shaggy Man in that book, this point is neglected by Baum in Tik-Tok.

Whereas the Thach Weave is used as aircraft move towards a point in space, the Lufbery is employed over a fixed point.

Whereas parallel projections are used to project points onto the image plane along parallel lines, the perspective projection projects points onto the image plane along lines that emanate from a single point, called the center of projection.

Whereas Pallas and Eris — the only larger bodies with comparably tilted orbits — have nodes near perihelion and aphelion, Euphrosyne's perihelion lies at the northernmost point of its orbit.

Whereas for most student societies the membership ends with the finishing of the study ( whether the student has graduated or not ) at a certain point in time Wolbodo decided that one should be able to be a member whenever one thought of Wolbodo as a place to feel at home.

Whereas the iteration of a function naturally leads to a study of the orbits of points of X under iteration ( the study of point dynamics ), the transfer operator defines how ( smooth ) maps evolve under iteration.

Whereas most previous Myst titles had forgone 3D graphics rendered in real-time in favor of interactive prerendered environments, Rand Miller decided that technology had advanced to the point that End of Ages could use real-time graphics without sacrificing player immersion.

Whereas, John Brown has cheerfully risked his life in endeavoring to deliver those who are denied all rights and is this day doomed to suffer death for his efforts in behalf of those who have no helper: Therefore,

Whereas Bultmann's `` center '' position is structurally inconsistent and is therefore indefensible on formal grounds alone, the general position of the `` right '', as represented, say, by Karl Barth, involves the rejection or at least qualification of the demand for demythologization and so is invalidated on the material grounds we have just considered.

Whereas for certain other language families, such as the speakers of Indo-European, Uralic, and Austronesian, we are able to frame substantial hypotheses, in the case of the proposed Altaic family everything remains to be done.

Whereas Wozniak originally referred to his Integer BASIC as " Game BASIC ," having written it so he could write a Breakout clone for his new computer, few action games were written in Applesoft BASIC for several reasons:

Whereas in the past, the National and American leagues had separate administrative organizations ( which, for example, allowed for the introduction of different rules such as the designated hitter ), under Selig, Major League Baseball consolidated the administrative functions of both leagues into the Commissioner's Office in 2000.

Whereas it is paramagnetic at ambient conditions, it becomes antiferromagnetic upon cooling, and other magnetic transitions are also observed for many curium compounds.

Whereas the written Torah has a fixed form, the Oral Torah is a living tradition that includes not only specific supplements to the written Torah ( for instance, what is the proper manner of shechita and what is meant by " Frontlets " in the Shema ), but also procedures for understanding and talking about the written Torah ( thus, the Oral Torah revealed at Sinai includes debates among rabbis who lived long after Moses ).

Whereas 20, 000 freshmen had matriculated in one CUNY institution or another in 1969, more than 35, 000 showed up for registration in the fall of 1970.

Whereas Travis's right hand used his index finger for the melody and thumb for bass notes, Atkins expanded his right hand style to include picking with his first three fingers, with the thumb on bass.

Whereas the Auschwitz II ( Auschwitz – Birkenau ) and Majdanek camps were parts of a labor camp complex, the Operation Reinhard camps and the Chełmno camp were exclusively for the quick extermination of many people ( primarily Jews ) within hours of their arrival.

Indeed, these Four Freedoms were explicitly incorporated into the preamble to the Universal Declaration of Human Rights which reads, " Whereas disregard and contempt for human rights have resulted in barbarous acts which have outraged the conscience of mankind, and the advent of a world in which human beings shall enjoy freedom of speech and belief and freedom from fear and want has been proclaimed the highest aspiration of the common people ,...."

Whereas most computer games of the era would achieve initial success and then suffer a significant drop-off in sales, Infocom titles continued to sell for years and years.

Whereas Infocom's games had benefited significantly from the portability offered by running on top of a virtual machine, this strategy did not prove to be a significant advantage for Cornerstone ; in fact, the virtual machine significantly slowed the database's execution speed.

Whereas 200 or so workers might have been used for a similar building in the US, the Fragrant Hill project employed over 3, 000 workers.

Whereas the other Central Asian republics have sometimes complained of Russian interference, Kyrgyzstan has more often wished for more attention and support from Moscow than it has been able to obtain.

Whereas < sup > 1 </ sup > H NMR spectroscopy is, in general, not useful for establishing the presence of a ketone, < sup > 13 </ sup > C NMR spectra exhibit signals somewhat downfield of 200 ppm depending on structure.

Whereas Durkheim focused on the society, Weber concentrated on the individuals and their actions ( see structure and action discussion ) and whereas Marx argued for the primacy of the material world over the world of ideas, Weber valued ideas as motivating actions of individuals, at least in the big picture.

Whereas infantry were usually issued short sabres as side arms, engineers and artillerymen often received fascine knives, as besides being side arms they also served as useful tools for the construction of fortifications and other utilitarian tasks.

Whereas the ruling parties campaigned for the dissolution of the Netherlands Antilles, the people voted for a restructuring of the Netherlands Antilles.

" Whereas reason and convenience indicate to us an uniform standard for all quantities ; which I shall call the Georigan standard ; and that is only to divide every integer in each species into eight equal parts, and every part again into 8 real or imaginary particles, as far as is necessary.