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implications and infinite
The ambiguous character of the axioms as originally formulated by Euclid makes it possible for different commentators to disagree about some of their other implications for the structure of space, such as whether or not it is infinite ( see below ) and what its topology is.
The idea that specifically the interdependence between parts would have implications for the origins of living things was raised by writers starting with Pierre Gassendi in the mid 17th century and John Wilkins, who wrote ( citing Galen ), " Now to imagine, that all these things, according to their several kinds, could be brought into this regular frame and order, to which such an infinite number of Intentions are required, without the contrivance of some wise Agent, must needs be irrational in the highest degree.
The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the word infinite in connection with these objects, which were nevertheless not finite.
The stories explore the technical difficulties of the system — the screens can be separated by theoretically infinite space, but the quality of that space ( such as the presence of gravitational fields ) can affect transmission — as well as the social implications of having such a device.
To form a more systematic idea of God, and as far as possible, to unfold the implications of the truth, God is All-Perfect, this infinite Perfection is viewed, successively, under various aspects, each of which is treated as a separate perfection and characteristic inherent to the Divine Substance, or Essence.
In the eponymous story contained within, Niven attempted to craft a response to stories featuring the many-worlds interpretation as a key plot point, taking the social implications of infinite realities to a depressing conclusion.

implications and were
While there are ancient relations between the Indian Vedas and the Iranian Avesta, the two main families of the Indo-Iranian philosophical traditions were characterized by fundamental differences in their implications for the human being's position in society and their view on the role of man in the universe.
He did not grasp the cosmological implications of this fact, and indeed at the time it was highly controversial whether or not these nebulae were " island universes " outside our Milky Way.
Due to the difficulty of using these methods, they did not realize that the nebulae were actually galaxies outside our own Milky Way, nor did they speculate about the cosmological implications.
Castrati were rarely referred to as such: in the 18th century, the euphemism musico ( pl musici ) was much more generally used, although it usually carried derogatory implications ; another synonym was evirato ( literally meaning " emasculated ").
Initially Barringer's ideas were not widely accepted, and even when the origin of Meteor Crater was finally acknowledged, the wider implications for impact cratering as a significant geological process on Earth were not.
It would be somewhat surprising if the WMAP alignments were a complete coincidence, but the anti-Copernican implications suggested by Krauss would be far more surprising, if true.
This meant to look at these concepts from the standpoint of the paradigm of critical psychology, thereby integrating their useful insights into critical psychology while at the same time identifying and criticizing their limiting implications while ( which in the case of S – R psychology were the rhetorical elimination of the subject and intentional action, and in the case of cognitive psychology which did take into account subjective motives and intentional actions, methodological individualism ).
In contrast, Rand saw ethics as a necessity for human survival and well-being, and argued that the " social " implications of morality, including natural rights, were simply a subset of the wider field of ethics.
Its capabilities and political implications were investigated by a committee of the European Parliament during 2000 and 2001 with a report published in 2001, and by author James Bamford in his books on the National Security Agency of the United States.
Different researchers have postulated that without the aid of modern computer graphics, early investigators were limited to what they could depict in manual drawings, so lacked the means to visualize the beauty and appreciate some of the implications of many of the patterns they had discovered ( the Julia set, for instance, could only be visualized through a few iterations as very simple drawings hardly resembling the image in Figure 3 ).
Gun breeches were directly in front of the pilot with obvious implications in case of accidents, but jams could be cleared in flight, while aiming was simplified.
The implications of these findings for the conservation of giraffes were summarised by David Brown, lead author of the study, who told BBC News: " Lumping all giraffes into one species obscures the reality that some kinds of giraffe are on the brink.
The revision of Israelite origins has implications for Israelite religion: whereas the Bible had depicted them as monotheists from the beginning, the new understanding is that they were polytheists who harboured a small and ultimately successful group of monotheistic revolutionaries.
Herbert Simon's main interests in computer science were in artificial intelligence, human-computer interaction, principles of the organization of humans and machines as information processing systems, the use of computers to study ( by modeling ) philosophical problems of the nature of intelligence and of epistemology, and the social implications of computer technology.
In this paper the representatives of the association regret that IQ-related works are frequently written with a view to their political consequences: " research findings were often assessed not so much on their merits or their scientific standing as on their supposed political implications ".
Finally, some of the originators of quantum theory ( notably Einstein and Schrödinger ) were unhappy with what they thought were the philosophical implications of quantum mechanics.
Webster also played a critical role lobbying individual states throughout the country during the 1780s to pass the first American copyright laws, which were expected to have distinct nationalistic implications for the infant nation.
In this latter respect, Post-structuralists were, as a group, continuing the philosophical project initiated by Martin Heidegger, who saw himself as extending the implications of Friedrich Nietzsche's work.
The implications for Potsdamer Platz were ominous, with suggestions that overall confidence in the project was faltering, and more pessimistic claims that the development had largely failed in its original intentions.
However, with limited availability of financial data on Railtrack, the political implications of owning the company and the very obvious preference of the government that the national railway network should go to Network Rail, no bidders apart from Network Rail were forthcoming, and Network Rail bought Railtrack plc on 3 October 2002.
Industry heads were reportedly watching how the film performed, as its unusual release schedule could have implications for future feature films.
The political and theological implications were intensely debated, but transmutation was not accepted by the scientific mainstream.
In most cases these treaties were in extremely disadvantageous terms to the native people, who often did not appreciate the implications of what they were signing.

implications and revolutionary
When the UK General Strike of 1926 broke out, the trade union leaders, " had never worked out the revolutionary implications of direct action on such a scale ", Bevan says.
" for their series on the promises of gene therapy, which examined the implications of this revolutionary medical treatment.
Despite the influence of the Marxists, many labor historians rejected the revolutionary implications implicit in the work of Thompson, Hobsbawm et al.
Huey P. Newton celebrated and welcomed the film's revolutionary implications, and Sweetback became required viewing for members of the Black Panther Party.
Huey P. Newton, devoting an entire issue of The Black Panther to the film's revolutionary implications, celebrated and welcomed the film as " the first truly revolutionary Black film made [...] presented to us by a Black man.
In 1975, the state of Florida enacted a purse-distribution format that has had revolutionary implications for the sport of horse racing in the United States: Its adopted plan provided 1 % of the purse to all finishers in the race lower than fourth ; this meant that the percentages paid out to the horses finishing second, third and fourth ( but not first ) became variable, depending upon the size of the field.
It describes its editorial objectives as: to support and connect nonviolent and anti-militarist movements ; provide a forum for such movements to develop common perspectives ; take up issues suitable for campaigning ; promote nonviolent, antimilitarist and pacifist analyses and strategies ; stimulate thinking about the revolutionary implications of nonviolence.

implications and ;
Logic seems to have emerged from dialectics ; the earlier philosophers made frequent use of concepts like reductio ad absurdum in their discussions, but never truly understood the logical implications.
These names do not use the name " Confucius " at all, but instead center on the figure or ideal of the Confucian scholar ; however, the suffixes of jiā, jiào, and xué carry different implications as to the nature of Confucianism itself.
Some authors have used " basal " differently to mean a clade that is " more primitive " or less species-rich than its sister clade ; others consider this usage to be incorrect, and many now discourage the use of that term altogether to avoid such implications.
" It has also been implied, especially in the ' alternate future ' story Kingdom Come, that the Clark Kent persona is symbolic of the values taught to him by his wholesome Midwestern parents, the values he holds most dear: his instinctive knowledge of right and wrong that allows him to adopt his Superman persona, without being consumed by the moral implications of his actions ; Superman is the means through which he can bring this example to the world.
* Data deals with the nature and implications of " given " information in geometrical problems ; the subject matter is closely related to the first four books of the Elements.
Some authors also require the domain of the Euclidean function be the entire ring R ; this can always be accommodated by adding 1 to the values at all nonzero elements, and defining the function to be 0 at the zero element of R, but the result is somewhat awkward in the case of K. The definition is sometimes generalized by allowing the Euclidean function to take its values in any well-ordered set ; this weakening does not affect the most important implications of the Euclidean property.
These are conjectures and perhaps can only be considered as social and maybe political philosophy ; they may have implications for theology, or thealogy as Zell-Ravenheart and Isaac Bonewits put it.
Stafford was greatly influenced by the ideas on mythology of Joseph Campbell, and echoes of Campbell's work are to be found in many aspects of Glorantha ; for instance the story of the " God Learners " can be seen as an exercise on the implications of Campbell's idea of a unifying monomyth, and the story of Prince Argrath an exploration of Campbell's The Hero with a Thousand Faces.
Gay and lesbian rights advocates argued that one ’ s sexual orientation does not reflect on one ’ s gender ; that is, “ you can be a man and desire a man ... without any implications for your gender identity as a man ,” and the same is true if you are a woman.
There are two types of popularization of human cloning ; the popularization that critiques its ethics and implications, and the ones that advocate its uses and benefits to society.
The verifiability criterion of meaning did not seem verifiable ; but neither was it simply a logical tautology, since it had implications for the practice of science and the empirical truth of other statements.
A meta-ethical theory, unlike a normative ethical theory, does not attempt to evaluate specific choices as being better, worse, good, bad, or evil ; although it may have profound implications as to the validity and meaning of normative ethical claims.
This may have significant commercial implications ; see " Territorial Claims ," below.
Emerging themes in the 1990s included environmental issues, the implications of the global Internet and the expanding information universe, questions about biotechnology and nanotechnology, as well as a post-Cold War interest in post-scarcity societies ; Neal Stephenson's The Diamond Age comprehensively explores these themes.
Proteins, due to the precise conformations they fold into, are nature's original nanomachines ; developing an inexpensive and practical way to design and target proteins would completely revolutionize medicine and would have incredibly far-reaching implications.
It was the shortest of the documents and contained few, if any, references to the debates and the rationale that had gone into its making ; therefore, the changes to be brought about by the declaration on the Church's Relations with non-Christian Religions, Nostra Aetate, carried implications not fully appreciated at the time.
The Fascist government failed to learn from mistakes made in Ethiopia and Spain ; it ignored the implications of the Italian Fascist volunteer soldiers being routed at the Battle of Guadalajara in the Spanish Civil War.
Just as Newton examined consequences of different conceivable laws of attraction in Book 1, here he examines different conceivable laws of resistance ; thus < span class =" plainlinks "> Section 1 </ span > discusses resistance in direct proportion to velocity, and < span class =" plainlinks "> Section 2 goes on to examine the implications of resistance in proportion to the square of velocity.
Similarly, adjective phrases and adverb phrases function as if they were adjectives or adverbs ; but with other types of phrase the terminology has different implications.
If one were to accept that the way we think, perceive, reason and judge is not always perfect, then it becomes easier to understand why cognitive processes and the factors influencing these processes are studied by psychologists in matters of law ; not least because of the grave implications that this imperfection can have within the criminal justice system.
In her 2005 autobiography, she writes that she was manipulated into sitting on the battery ; she had been horrified at the implications of the pictures and regretted they were taken.
This discrepancy has large implications ; for instance, when converted via the nominal exchange rates GDP per capita in India is about US $ 1, 704. 063 while on a PPP basis it is about US $ 3, 608. 196.
Due to social implications the disorder is often unreported and it is difficult to accurately predict its prevalence ; the lifetime prevalence is estimated to be between 0. 6 % ( overall ) and may be as high as 1. 5 % ( in males ) to 3. 4 % ( in females ).

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