It puts forward a number of arguments, the most prominent of which are irreducible complexity and specified complexity, in support of the existence of a designer.

If truly irreducible systems are found, the argument goes, then intelligent design must be the correct explanation for their existence.

If k is not algebraically closed, for example the field of real numbers, the picture becomes more complicated because of the existence of non-linear irreducible polynomials.

Though the most common arguments against deflationary accounts and eliminative materialism is the argument from qualia, and that conscious experiences are irreducible to physical states-or that current popular definitions of " physical " are incomplete-the objection follows that the one and same reality can appear in different ways, and that the numerical difference of these ways is consistent with a unitary mode of existence of the reality.

# Application of column orthogonality relations and other properties of group characters and algebraic integers lead to the existence of a non-trivial irreducible character of G such that.

Usually, the descent part of the proof is abstracted away by assuming ( or proving ) the existence of irreducible representations of rational numbers.

for some polynomials A ( x ) and B ( x ) over K. The existence of such a decomposition is a consequence of the fact that the polynomial ring over K is a principal ideal domain, so that

The second article, published in 1938, states that launching a swift strategic knockout has great attractions for Germany but appears to accept that such a knockout will be very difficult to achieve by land attack under modern conditions ( especially in view of the existence of systems of fortification like the Maginot Line ) unless an exceptionally high degree of surprise is achieved.

The term may be used to refer to the existence of any form of disease, or to the degree that the health condition affects the patient.

The results on the existence of a solution to the conjugation equation depend on the eigenvalues of J and the degree of smoothness required from h. As J does not need to have any special symmetries, its eigenvalues will typically be complex numbers.

On the surface, the movement does not appear to differ much from the local industry programs in existence since the 1960s, although some degree of local autonomy is allowed.

The program included health insurance, accident insurance, disability insurance, and a retirement pension, none of which were then currently in existence to any great degree.

To do this, however, a non-historical and, to a degree, self-referential engagement with whatever set of ideas, feelings or practices would permit ( both the non-fixed concept and reality of ) such a continuity was required-a continuity permitting the possible experience, possible existence indeed not only of beings but of all differences as they appeared and tended to develop.

Many of the accepted notions of a unified theory of physics since the 1970s, including string theory, superstring theory, M-theory, loop quantum gravity, all assume, and to some degree depend upon, the existence of the graviton.

# The diagnosis is excluded by the existence of any condition that would otherwise account for the degree of pain and dysfunction.

# The diagnosis is excluded by the existence of any condition that would otherwise account for the degree of pain and dysfunction.

Since the Mind concerned chooses its own name this may sometimes even indicate a degree of self-hatred over its purpose for existence.

* New York Sun: " It depicts strikingly the storm and stress of existence in a Western town with a final scene of the shooting up of a gambling den, which aroused the spectators to a high degree of approval.

We cannot surely mean that actions have so little connexion with motives, inclinations, and circumstances, that one does not follow with a certain degree of uniformity from the other, and that one affords no inference by which we can conclude the existence of the other.

To a large degree, Creedmoor owes its existence to tobacco.

Although common, this romanticized view of leadership ( i. e., the tendency to overestimate the degree of control leaders have over their groups and their groups ’ outcomes ) ignores the existence of many other factors that influence group dynamics.

While the Austro-Hungarian Monarchy was a multi-national empire, which allowed a relatively large degree of cultural autonomy to the different peoples and ethnic groups, Italy was a nation state, and its governments had little intention to allow the existence of separate national movements and identities on its territories.

Under Rule 203-1-Departures from Established Accounting Principles, the departures are rare, and usually take place when there is new legislation, the evolution of new forms of business transactions, an unusual degree of materiality, or the existence of conflicting industry practices.

If a single particle is detected, then the consequences of its existence are prolonged to such a degree that it cannot be virtual.

The Qur ' an summarizes its task in making this " unseen ", to a greater or lesser degree " seen " so that belief in the existence of God becomes a Master-Truth rather than an unreasonable belief.

A worldview describes a consistent ( to a varying degree ) and integral sense of existence and provides a framework for generating, sustaining, and applying knowledge.

In Psychiatry and Psychology, healing is the process by which neuroses and psychoses are resolved to the degree that the client is able to lead a normal or fulfilling existence without being overwhelmed by psychopathological phenomena.

Only the identity of the second one is known with any degree of certainty from attestations of his existence in Rome and elsewhere in Italy.

Together with Juliusz Schauder, he discovered a topological invariant, now called the Leray – Schauder degree, which they applied to prove the existence of solutions for partial differential equations lacking uniqueness.

After World War II, an enhanced standard of living and the existence of free university education in many countries enabled more working-class youths to receive a degree, resulting in the inflation of education and enlarged middle classes.

The exact degree of centralization is still under debate, with some archaeologists, such as K. Lockyear, denying the existence of a state, because the archaeological evidence shows much regional diversity, with only a few regional-wide trends.

Supporters of this view believe that the Roman Empire does not threaten the spread of the gospel of Jesus Christ because Luke “ simply recognizes its existence as a political reality, but he is clear that God is greater .” Throughout Acts, believers like Paul are being charged with spiritual crimes concerning “ teaching against Israel, the law, and the temple ” ( Acts 21: 21, 28 ; 23: 29 ; 24: 5 ; 25: 8, 19 ; 28: 17 ) or being a civil disturbance ( Acts 16: 20, 21: 38, 25: 8 ) rather than political charges.

Anticipating what the world would be like in the year 2000, the book is interesting both for its hits ( trains and cars resulting in the dispersion of population from cities to suburbs ; moral restrictions declining as men and women seek greater sexual freedom ; the defeat of German militarism, and the existence of a European Union ) and its misses ( he did not expect successful aircraft before 1950, and averred that " my imagination refuses to see any sort of submarine doing anything but suffocate its crew and founder at sea ").

It has been suggested to have a transitory existence in nuclear reactions produced by helions that result in the formation of a proton and a nucleus having the same atomic number as the target nucleus but a mass number two units greater.

During the more than 1500 years of their existence, the Benedictines have not been immune to periods of laxity and decline, often following periods of greater prosperity and an attendant relaxing of discipline.

Alternatively, one may point out that greater good theodicies lead us to see every conceivable state of affairs as compatible with the existence of God, and in that case the notion of God's goodness is rendered meaningless.

Grand unification would imply the existence of an electronuclear force ; it is expected to set in at energies of the order of 10 < sup > 16 </ sup > GeV, far greater than could be reached by any possible Earth-based particle accelerator.

Durkheim argued that social facts have, sui generis, an independent existence greater and more objective than the actions of the individuals that compose society.

The Medici Venus, regarded as one of the finest Classical sculptures in existence, caused the French to promote the Venus de Milo as a greater treasure than that which they recently had lost.

Only in the future, at the ‘ end of days ’, will all the created beings of Ilúvatar fully understand not only the divinely provided concepts and themes they each personally embody, but how each relates to all the others and fits ( as per Ilúvatar ’ s intentions ) in the entire greater scheme of existence.

One of the seven Endless, inconceivably powerful beings older and greater than gods, Dream is both lord and personification of all dreams and stories, all that is not in reality ( which, in turn, Dream may define by his existence ).

Chamberlain discovered the existence of such negotiations from Henry Labouchere, but unsure of the precise nature of Gladstone's offer to Parnell, did not press the issue, although he had already stated his opposition to Home Rule, declaring that " I cannot admit that five millions of Irishmen have any greater right to govern themselves without regard to the rest of the United Kingdom than the five million inhabitants of the metropolis ( i. e. London ).

* The " Scrigno " Room: the Venetian nobility as a caste came into existence because of the “ closure ” of admissions to the Great Council in 1297 ; however, it was only in the 16th century that formal measures were taken to introduce restrictions that protected the status of that aristocracy: marriages between nobles and commoners were forbidden and greater controls were set up to check the validity of aristocratic titles.

Lawrence became known as Immigrant City very early in its existence, and can reasonably boast that for its small geographic size ( less than 6 square miles ) it has had more immigrants from a greater variety of countries in the world per capita, than any other city of its size on Earth.

The lake remains the focal point of the greater Lake Stevens community for recreation and as " a symbol of our need to provide for a sustainable existence that will protect our natural environment ".

Thus the Court of Chancery had a far greater remit than the common law courts, whose decisions it had the jurisdiction to overrule for much of its existence, and was far more flexible.

Turning this around, if the probability that the random object has the property is greater than zero, then this proves the existence of at least one object in the collection that has the property.

* Anselm of Canterbury: Anselm is best known for the ontological argument for God's existence, i. e.: God is that than which nothing greater can be conceived.

In a more general sense, germination can imply anything expanding into greater being from a small existence or germ, a method that is commonly used by many seed germination projects.

“ Atheistic existentialism, of which I am a representative, declares with greater consistency that if God does not exist there is at least one being whose existence comes before its essence, a being which exists before it can be defined by any conception of it.

In the end, he says, the Jews, in their restored existence as a national state, are the greater victims, past and potential:

" In the first few years of its existence, al-Fatat called for greater autonomy within a unified Ottoman state rather than Arab independence from the empire.

It differs most fundamentally from the Clementsian view in suggesting a much greater role of chance factors and in denying the existence of coherent, sharply bounded community types.

A pair of papers by Katherine Mack that appeared on the arXiv in November 2009 casts doubt on the existence of the QCD axion lighter than μeV scale, arguing that ( 1 ) cosmological observations imply that the existence of such a light axion creates a greater fine-tuning problem than the one that it was hypothesized to solve and ( 2 ) that anthropic arguments do not alleviate this fine-tuning problem.