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Page "A New Kind of Science" ¶ 12
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extension and idea
( To avoid any possible excuse for a dripping parade through your house, it is a good idea to have a telephone extension near the pool as well as a direct outdoor route between the pool, and the parking area.
An important extension of this idea is to consider the fundamental groupoid ( X, A ) where A is a set of " base points " and a subset of X.
Many such people believed in the idea that the United States is by definition benevolent, that the extension of its power, influence and hegemony is an extension of benevolence and brings freedom to those people subject to that hegemony.
* 1843 – Sir William Rowan Hamilton comes up with the idea of quaternions, a non-commutative extension of complex numbers.
Influential to thinkers associated with Postmodernism are Heidegger's critique of the subject-object or sense-knowledge division implicit in Rationalism, Empiricism and Methodological Naturalism, his repudiation of the idea that facts exist outside or separately from the process of thinking and speaking them ( however, Heidegger is not specifically a Nominalist ), his related admission that the possibilities of philosophical and scientific discourse are wrapped up in the practices and expectations of a society and that concepts and fundamental constructs are the expression of a lived, historical exercise rather than simple derivations of external, apriori conditions independent from historical mind and changing experience ( see Johann Gottlieb Fichte, Heinrich von Kleist, Weltanschauung and Social Constructionism ), and his Instrumentalist and Negativist notion that Being ( and, by extension, reality ) is an action, method, tendency, possibility and question rather than a discreet, positive, identifiable state, answer or entity ( see also Process Philosophy, Dynamism, Instrumentalism, Pragmatism and Vitalism ).
Infinite divisibility refers to the idea that extension, or quantity, when divided and further divided infinitely, cannot reach the point of zero quantity.
In any of several studies that treat the use of signs-for example, in linguistics, logic, mathematics, semantics, and semiotics-the extension of a concept, idea, or sign consists of the things to which it applies, in contrast with its comprehension or intension, which consists very roughly of the ideas, properties, or corresponding signs that are implied or suggested by the concept in question.
That a set can capture the notion of the extension of anything is the idea behind the axiom of extensionality in axiomatic set theory.
The extension of this idea to substances in general necessarily led him to the law of multiple proportions, and the comparison with experiment brilliantly confirmed his deduction.
Though strongly in favour of the extension of individual legal rights, he opposed the idea of natural law and natural rights, calling them " nonsense upon stilts ".
The BIOS on the IBM-PC class machines was an extension of this idea and has accreted more features and functions in the 20 years since the first IBM-PC was introduced in 1981.
This letter also made it clear that an extension of the proposed colony to include a penal settlement at the Chatham Islands was envisaged: ‘ The King is still preoccupied with the idea and with the necessity of a place of deportation.
By extension, this may have later led to the idea of "' the son of man '," an eschatological Messianic figure, within Judaism.
A few Lutheran churches, such as the Church of Sweden, allows for the formation of political parties ( also known as nominating groups ()) to nominate candidates for the Synod ; it is an extension of the idea of multi-ideological democracy within the church.
By extension from its primary sense, the idea that a virgin has a sexual " blank slate ", unchanged by any past intimate connection or experience, leads to the abstraction of unadulterated purity.
Indeed, some recent and controversial works, such as Huntington's The Clash of Civilizations and the Remaking of World Order can be regarded as an extension of comparative study into the idea of conflicts among the groups compared.
Out of his sight, the three eavesdrop using an extension phone while Shields describes his new idea, and become more and more interested.
Ritzer ’ s idea of McDonaldization is an extension of Max Weber ’ s ( 1864 – 1920 ) classical theory of the rationalization of modern society and culture.
For the steam ferry Etna, which entered service at Tranmere on 17 April 1817, the idea of extension stages was mooted.
This brought together thinkers with interests in artificial intelligence, nanotechnology, genetic engineering, life extension, mind uploading, idea futures, robotics, space exploration, memetics, and the politics and economics of transhumanism.
In the Tenth Elucidation, for instance, Malebranche introduced his theory of " intelligible extension ", a single, archetypal idea of extension into which the ideas of all particular kinds of bodies could be jointly resolved.
With the death of God, one must also accept by extension the idea of universal guilt and the impossibility of innocence.

extension and is
The American-Negro Suite is in a sense an extension of the Cotton Club songs in that it is a collection of Negro songs, not for a night club, but for the concert stage.
You should make any request for an extension early so that if it is refused, your return may still be on time.
An extension of 2 months beyond the regular due date for filing is also available to taxpayers making returns for a fiscal year.
Such interest must be paid even though an extension of time for filing is granted.
The observational data determining the concentration distribution have a range of error which is magnified in the extension into the micrometeorite region.
The other misconception is that our ecumenical problems will be solved if only the knowledge of the church in its world-wide extension and its interdenominational connections, now comprehended by many national leaders, can be communicated to all congregations.
In general, friendly contact with a member followed by contact with a clergyman will account for a major share of recruitment by the churches, making it quite evident that the extension of economic integration through co-optation is the principal form of mission in the contemporary church ; ;
`` The important thing from now on '', he said, `` is not to mourn the past but to seize the future opportunity to prevent the loss in northern Viet Nam from leading to the extension of Communism throughout Southeast Asia ''.
The " tail " is only possessed by the male and is an extension of the cloaca and used to inseminate the female.
Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.
In the case of a Galois extension L / K the subgroup of all automorphisms of L fixing K pointwise is called the Galois group of the extension.
An extension of this is the sacred cockfight,a popular form of fertility worship among almost all Southeast Asians ” considered by some in the Judeo-Christian ethic as a form of ’ fertility worship ’ or Baalim.
The more humid regions have a richer vegetation ; dense forest where the rainfall is greatest and variations of temperature least, conditions found chiefly on the tropical coasts, and in the west African equatorial basin with its extension towards the upper Nile ; and savanna interspersed with trees on the greater part of the plateaus, passing as the desert regions are approached into a scrub vegetation consisting of thorny acacias, etc.
Also from there is the word bung, from the Sydney pidgin English ( and ultimately from the Sydney Aboriginal language ), meaning " dead ", with some extension to " broken " or " useless ".
In abstract algebra, a field extension L / K is called algebraic if every element of L is algebraic over K, i. e. if every element of L is a root of some non-zero polynomial with coefficients in K. Field extensions that are not algebraic, i. e. which contain transcendental elements, are called transcendental.
For example, the field extension R / Q, that is the field of real numbers as an extension of the field of rational numbers, is transcendental, while the field extensions C / R and Q (√ 2 )/ Q are algebraic, where C is the field of complex numbers.

extension and human
Aside from the role of governments and the church, the history of copyright law is in essential ways also connected to the rise of capitalism and the attendant extension of commodity relations to the realm of creative human activities, such as literary and artistic production.
Within the class of human beings are all of the human beings, or the extension of the term ' human being '.
Good governance should include adequate checks on government powers and effective law enforcement, as well as the defense of human rights and their extension to include basic physiological and emotional needs.
Blum & Naylor ( 1968 ) define it as " simply the application or extension of psychological facts and principles to the problems concerning human beings operating within the context of business and industry " ( p. 4 ).
A number of historians believe that a Persian victory would have hamstrung the development of Ancient Greece, and by extension western civilization, and this has led them to claim that Salamis is one of the most significant battles in human history.
" Diamond Age " is an extension of labels for archeological time periods that take central technological materials to define an entire era of human history, such as the Stone Age, the Bronze Age or the Iron Age.
* Deep underground cities in Japan, new forms of plants and animals from genetic engineering, an artificial liver, and the extension of the human life span to over 100 are all predicted for 2025.
1487 ) is often used as a representation of symmetry in the human body and, by extension, the natural universe.
In the human body, high levels of triglycerides in the bloodstream have been linked to atherosclerosis and, by extension, the risk of heart disease and stroke.
However, the extension of animal model findings to humans is unclear, as human studies of intragastric infusion of sucralose have shown no insulin response from analogous taste receptors.
The informal organization represents an extension of the social structures that generally characterize human life – the spontaneous emergence of groups and organizations as ends in themselves.
The informal organization represents an extension of the social structures that generally characterize human life — the spontaneous emergence of groups and organizations as ends in themselves.
Synthesized memory, suspended animation, life extension, rejuvenation ( aging ) and genetic enhancement technologies have made death obsolete, material goods are no longer scarce, and everyone is granted basic human rights that in our present age are mostly considered luxuries.
While the Phi Beta Kappa developed some of the characteristics which still distinguish Greek-letter fraternities, it was left to other students to fill the natural human need for fellowship with kindred students by extension of fraternity to a purely social context.
Alan Marshall's category of ecologic extension places emphasis not on human rights but on the recognition of the fundamental interdependence of all biological ( and some abiological ) entities and their essential diversity.
Since the movement's international expansion beginning in the 1960s and extension of social and cultural activities beginning in the 1970s, Ikeda expanded his predecessor's ideas of " human revolution " and " engaging with the world, rather than liberation from it ", emphasizing, in the words of one observer, a " humanistic activism " as both the religious and social aims of Nichiren Buddhism.
The extension will allow a continuation of biomedical research in support of a long-term human presence in space started by the institute and NASA's Human Research Program through 2012.
The xiphoid process, or xiphisternum or metasternum, is a small cartilaginous process ( extension ) of the lower part of the sternum which is usually ossified in the adult human.
Initiation rites are a natural and necessary part of a community, just as arms and legs are natural and necessary extension of the human body.
A more thorough phylogeographic analysis that used ten different genes instead of a single mitochondrial marker indicates that at least two major expansions out of Africa after the initial range extension of Homo erectus played an important role shaping the modern human gene pool and that recurrent genetic exchange is pervasive.
As such they may represent an extension of the concept of human rights.
These scientists made three claims about race: first, that races are objective, naturally occurring divisions of humanity ; second, that there is a strong relationship between biological races and other human phenomena ( such as forms of activity and interpersonal relations and culture, and by extension the relative material success of cultures ), thus biologizing the notion of " race ", as Foucault demonstrated in his historical analysis ; third, that race is therefore a valid scientific category that can be used to explain and predict individual and group behavior.

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