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generality and abstraction
An abstraction can thus encapsulate each of these levels of detail with no loss of generality.
Of these " the positive alone is real, the negative is only an abstraction of the other, and in the highest generality even an abstraction of thought itself.
Still, the problems and solutions described in a pattern can vary in their level of abstraction and generality on the one side, and specificity on the other side.

generality and rules
* Klal shehu tzarich lifrat, a generality that requires a particularity, and a particularity that requires a generality: If it is impossible to have the more general law without more specific examples or more specific cases without the statement of the general law, the above three rules don't apply.
' He argues that one of the main reasons for introducing rule utilitarianism was to do justice to the general rules that people need for moral education and character development and he proposes that “ a difference between act-utilitarianism and rule-utilitarianism can be introduced by limiting the specificity of the rules, i. e., by increasing their generality .” This distinction between a ‘ specific rule utilitarianism ’ ( which collapses into act utilitarianism ) and ‘ general rule utilitarianism ’ forms the basis of Hare ’ s two-level utilitarianism.
Other important principles of the rule of law are the generality and equality of the law, which require that all legal rules apply equally to everybody.
The reference to the principles as " general " signify that, if rules were to be adapted from municipal law, they should be at a sufficient level of generality to encompass similar rules existing in many municipal systems.

generality and permit
:( 3 ) Without prejudice to the generality of subsection ( 2 ) above, it is an obtaining of services where the other is induced to make a loan, or to cause or permit a loan to be made, on the understanding that any payment ( whether by way of interest or otherwise ) will be or has been made in respect of the loan.

generality and both
Since a series of complex numbers converges if and only if both its real and imaginary parts converge, we may assume with equal generality that.
In contrast, both Davis and Penck were seeking to emphasize the importance of evolution of landscapes through time and the generality of Earth surface processes across different landscapes under different conditions.
At the head of a generality was an intendant, but in the case of Languedoc there was only one intendant responsible for both generalities, and he was often referred to as the intendant of Languedoc, even though technically speaking he was in fact the intendant of the generality of Toulouse and intendant of the generality of Montpellier.
If this is not already the case then both A and B can be multiplied by this factor ; the factor cancels so the terms are unchanged and there is no loss of generality.
Donald Dewsbury reviewed the works of several psychologists and their definitions and concluded that the object of comparative psychology is to establish principles of generality focusing on both proximate and ultimate causation.
With increasing level of generality, it turns out, an increasing amount of technical background is helpful or necessary to understand these theorems: the modern formulation of both these dualities can be done using derived categories and certain direct and inverse image functors of sheaves, applied to locally constant sheaves ( with respect to the classical analytical topology in the first case, and with respect to the étale topology in the second case ).
In the first chapter, Frege defines basic ideas and notation, like proposition (" judgement "), the universal quantifier (" the generality "), the conditional, negation and the " sign for identity of content " ( which he used to indicate both material equivalence and identity proper ); in the second chapter he declares nine formalized propositions as axioms.
Jean d ' Alembert and Alexis Clairaut, who developed a longstanding rivalry, both attempted to analyze the problem in some degree of generality, and by the use of differential equations to be solved by successive approximations.
:" The learned of the day must direct the people to acquire those branches of knowledge which are of use, that both the learned themselves and the generality of mankind may derive benefits therefrom.

generality and law
The impression was unmistakable that, whatever one may choose to call it, natural law is a functioning generality with a certain objective existence.
Sometimes excessive generality and omissions in Chinese law, coupled with the wide discretionary powers conferred on local authorities to implement laws, undermines the predictability and certainty of law.
While that glittering generality has rhetorical appeal, it is not a correct statement of the law.
Such conflict-as well as a commitment to reason and, with that, to generality over particularity-led the Revolutionaries to take a negative view of judges making law.
He believed that the most important features of such protections were equality before the law, and generality of the law.
The law is of very great importance and generality and is consequently thought of from several points of view.
Principles of the generality and equality of the law exclude special privileges and arbitrary application of law, that is laws favoring one group at the expense of other citizens.
The abstract generality of law ( theorized by Jean-Jacques Rousseau in the The Social Contract ) thus insured the identification of liberty to equality, liberty being negatively defined as an independence from arbitrary rule, and equality considered abstractly in its judicial form.
There is no loss of generality because using a shifted and rotated line the law still applies.
* s. 3 ( 3 ) – Excluded from the generality of the preceding subsection any requirement for the Oireachtas to assent to any change in the law relating to the succession to the throne or the royal style and titles ; and also ended the requirement for the Irish government to receive notifications under the provisions of the Regency Act 1937.
* Thirdness, representation, mediation — necessity or destiny, habit, law, generality, continuity, " all ".

generality and its
no necessary assumptions for ANOVA is its full generality, but the
Nial uses a generalized and expressive Array Theory in its Version 4, but sacrificed some of the generality of functional model, and modified the Array Theory in the Version 6.
But the specialty was still behind in its development stages in comparison to other medical specialities, and remained a generality in this era.
The problem, due to its generality, is studied in many other disciplines, such as game theory, control theory, operations research, information theory, simulation-based optimization, statistics, and genetic algorithms.
Thus, God produces the natural evils that follow from simple laws not because he wills those particular effects, but because he wills a world that best reflects his wisdom by achieving the best possible balance between the intrinsic perfection of the work and the simplicity and generality of its laws.
Taken to its extreme, this attitude was thought to demand mathematics developed in its greatest generality.
It differed from other scientific laws only by its greater generality, and the laws of the special sciences could be shown to be illustrations of this principle.
Given its generality, the inequality appears in many forms depending on the context, some of which are presented below.
Ten years after, in, Lamberto Cesari changed the continuity requirement in Tonelli's definition to a less restrictive integrability requirement, obtaining for the first time the class of functions of bounded variation of several variables in its full generality: as Jordan did before him, he applied the concept to resolve of a problem concerning the convergence of Fourier series, but for functions of two variables.
Finally, Anatoly Ivanovich Maltsev ( Анато ́ лий Ива ́ нович Ма ́ льцев, 1936 ) proved the Löwenheim – Skolem theorem in its full generality.
The series places its generality on documentation of musical artists or groups who are interviewed and profiled, and discuss how their careers became successful and what hardships they undertook.
Without loss of generality, we can demand also that j ( M ) contains all its sequences of length λ.
It is designed purely for pedagogic use, so efficiency and ease of implementation have been far less important in its development than generality and range of application.
The theorem was first proven by for the special case of polynomial rings and convergent power series rings, and was proven in its full generality by.
Among the many energy principles in structural mechanics, the virtual work principle deserves a special place due to its generality that leads to powerful applications in structural analysis, solid mechanics, and finite element method in structural mechanics.
Many other theoretical derivations have also appeared, lending further confidence to its generality.
Of particular interest are the new view ’ s fallibilist account of knowledge of logical truth, its treatment of reflective knowledge and lottery propositions, its solutions to the value problem and the generality problem, its implications about skepticism, and its explanation of why knowledge is power in the Baconian sense.
It suffered in the marketplace due to thematic similarities with the better received Wipeout by Psygnosis and the generality of its graphics engine made for a very short depth of view compared to contemporary racing games.

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