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Page "Natural transformation" ¶ 25
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notion and natural
The Angels in turn would exercise similar restraints in respect for the natural preferences and natures of the Earthmen -- but they had no faintest notion of man's perverse habit of passing and enforcing laws which were contrary to his own preferences and violations of his nature.
The philosophy is founded on the notion that human society originates with the development of agriculture, and societies are based upon " people's natural prospensity to farm.
The philosophy is founded on the notion that human society originates with the development of agriculture, and societies are based upon " people's natural prospensity to farm.
Was the notion of " effective calculability " to be ( i ) an " axiom or axioms " in an axiomatic system, or ( ii ) merely a definition that " identified " two or more propositions, or ( iii ) an empirical hypothesis to be verified by observation of natural events, or ( iv ) or just a proposal for the sake of argument ( i. e. a " thesis ").
Rather, he regarded the notion of " effective calculability " as merely a " working hypothesis " that might lead by inductive reasoning to a " natural law " rather than by " a definition or an axiom ".
Saunderson's arguments are those of a Neo-Spinozist, Naturalist, and Fatalist, using a sophisticated notion of the self-generation and natural evolution of species without Creation or supernatural intervention.
He proposes that most commonly accepted social institutions — including the notion of State, property as a right, natural rights in general, and the very notion of society — were mere spooks in the mind.
If ( V, ‖·‖) is a normed vector space, the norm ‖·‖ induces a metric ( a notion of distance ) and therefore a topology on V. This metric is defined in the natural way: the distance between two vectors u and v is given by ‖ u − v ‖.
This naturalistic fallacy is the converse of the moralistic fallacy, the notion that what is good or right is natural and inherent.
Hobbes's philosophy includes a frontal assault on the founding principles of the earlier natural legal tradition, disregarding the traditional association of virtue with happiness, and likewise re-defining " law " to remove any notion of the promotion of the common good.
While for piecewise smooth surfaces there is a unique natural notion of surface area, if a surface is very irregular, or rough, then it may not be possible to assign any area at all to it.
" The popular notion of antagonisms between science and religion has historically originated with " thinkers with a social or political ax to grind " rather than with the natural philosophers themselves.
Bodin rejected the notion of transference of sovereignty from people to sovereign ; natural law and divine law confer upon the sovereign the right to rule.
Levellers tended to hold fast to a notion of " natural rights " that had been violated by the king's side in the Civil Wars.
Natural capital is the extension of the economic notion of capital ( manufactured means of production ) to goods and services relating to the natural environment.
The notion of causality as constraint has also been explored as a way to shed light on scientific concepts such as self-organization, natural selection, adaptation, and control.
Thus, in a sense, the notion of a Noetherian ring unifies the ideal structure of various " natural rings ".
One of the repeating questions discussed in the Western philosophical tradition since Christianization is the question of " free will ", and the related but more general notion of fate, which asks how will can be truly free if the actions of people have natural or divine causes which determine them, but which are not really under the control of people.
So it is natural to hope that a suitable notion of convergence in arbitrary spaces will lead to a compactness criterion generalizing sequential compactness in metrizable spaces that will be as easily applied to deduce the compactness of products.
The notion of a universal principle of natural order is by no means unique to the Vedas, and Ṛta has been compared to similar ideas in other cultures, such as Ma ' at in Ancient Egyptian religion, Moira and the Logos in Greek paganism, and the Tao.
The notion of a tuple in type theory and that in set theory are related in the following way: If we consider the natural model of a type theory, and use the Scott brackets to indicate the semantic interpretation
There is a natural notion of a morphism between chain complexes called a chain map.
" He added that Charles Darwin's theory of evolution was also used by conservative politicians, judges, and publicists to justify the idea of a " natural order of things " as well as " the notion that progress resulted from the elimination of the weak and the ' survival of the fittest.

notion and transformation
The category of sets is closed monoidal, but so is the category of vector spaces, giving the notion of bilinear transformation above.
However, the term is applied to multidimensional data as well as to univariate data and in situations where a transformation of the data values for some or all dimensions would usually be considered necessary: in the latter cases, the notion of a " central location " is retained in converting an " average " computed for the transformed data back to the original units.
While the perspective is compatible with Jamesian pragmatism ( above ), the notion of the transformation of embodied concepts through structural mapping makes a distinct contribution to the problem of concept formation.
Hence permutation groups ( also known as transformation groups ) and the related notion of orbit shed light on the mathematical structure of equivalence relations.
Rudolf Carnap was also influenced by Husserl, not only concerning Husserl's notion of essential insight that Carnap used in his Der Raum, but also his notion of " formation rules " and " transformation rules " is founded on Husserl's philosophy of logic.
For example, the notion of gauge invariance forms the basis of the well-known Mattis spin glasses, which are systems with the usual spin degrees of freedom for i = 1 ,..., N, with the special fixed " random " couplings Here the ε < sub > i </ sub > and ε < sub > k </ sub > quantities can independently and " randomly " take the values ± 1, which corresponds to a most-simple gauge transformation This means that thermodynamic expectation values of measurable quantities, e. g. of the energy are invariant.
This transformation law is considered to be built in to the notion of a tensor in a geometrical or physical setting, and the precise form of the transformation law determines the type ( or valence ) of the tensor.
* March 17 – Albert Einstein publishes his paper On a heuristic viewpoint concerning the production and transformation of light, in which he explains the photoelectric effect using the notion of light quanta.
However, it is important to note that the notion of the blasé is actually not the central or final point of the essay, but is part of a description of a sequence of states in an irreversible transformation of the mind.
However, others disagree, arguing that a more radical transformation of agriculture is needed, one guided by the notion that ecological change in agriculture cannot be promoted without comparable changes in the social, political, cultural and economic arenas that conform and determine agriculture.
A closely related notion is that of antiunitary transformation, which is a bijective function
As a homotopy theory, the notion of covering spaces works well when the deck transformation group is discrete, or, equivalently, when the space is locally path-connected.
Rather than taking transformations in the algebraic sense of mappings from subset to subset, preserving inter-word restrictions, Chomsky adapted the notion of rules of transformation vs. rules of formation from Rudolf Carnap.
This notion of transformation adds a layer of complexity that Harris regarded as unnecessary and undesirable.
Of particular importance to model-driven architecture is the notion of model transformation.
Of particular importance to Model Driven Engineering ( MDE ) or model-driven architecture is the notion of Model transformation.
The symmetry of the model space is then built in to the Cartan geometry or pseudogroup structure by positing that the model spaces of nearby points are related by a transformation in G. The fundamental difference between a Cartan geometry and pseudogroup geometry is that the symmetry for a Cartan geometry relates infinitesimally close points by an infinitesimal transformation in G ( i. e., an element of the Lie algebra of G ) and the analogous notion of symmetry for a pseudogroup structure applies for points that are physically separated within the manifold.
: Seth Brundle's increasing mania and personality changes in the early stages of the transformation were emphasized in the rewrites, and the notion of the transformation itself being a horrible ( and very metaphorical ) disease became a key factor in the new script.
Xenocrates ' intention was to provide an explanation for the sheer variety of polytheistic religious worship ; but it is the potential for moral descrimination offered by the notion of daemones which later … became one further means of conceptualizing what distinguishes dominated practice from civic religion, and furthering the transformation of that practice into intentional profanation … Quite when the point was first made remains unanswerable.
This formation was initiated by a change in the notion of ' civilization ' due to the transformation of ' international society ' and thereafter was affected by the trauma of Japanese colonization.

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