They postulate that there exists a Primordial Tradition of non-human origin.

They postulate that these elements of reality are local, in the sense that each belongs to a certain point in spacetime.

They postulate freedom from sin, pain, poverty, and death, and often assume communion with beings such as angels or the houri.

They do not affirm or deny that moral facts exist, only that human logic applies to our moral assertions ; consequently, they postulate an objective and preferred standard of moral justification, albeit in a very limited sense.

The primary reason for this, according to the Supreme Court of Canada in its 1981 Patriation Reference, is that, " They are generally in conflict with the legal rules which they postulate and the courts are bound to enforce the legal rules.

They also postulate the existence of a Poincaré-invariant state called the vacuum and demand it is unique.

They argue that there was no need to postulate a maker for the world, just as there was no need for an author to compose the Vedas or a God to validate the rituals.

They were created in an attempt to live up to the postulate of Leninism about the rights of nations for self-determination.

They postulate that a society run by intelligent machines ( or cyborgs ) could potentially be vastly more efficient than a society run by normal human beings.

They also postulate that the massive Bug fleets are, in fact, the end result of years of military build-up.

They postulate that these practices as an abomination to the natural world and that agriculture is not conservation, but manipulation.

They were west of the Sabine, but only God knew where.

They were engulfed by the weird silence, broken only by the low, angry murmur of the river.

They are huge areas which have been swept by winds for so many centuries that there is no soil left, but only deep bare ridges fifty or sixty yards apart with ravines between them thirty or forty feet deep and the only thing that moves is a scuttling layer of sand.

They squatted on their heels with their heads bent far forward, their eyes only a few inches from the ground.

They arise in situations in which one believes that what happens depends not only on the external world, but also on the precise pattern of behavior of the individual or group.

They move only in accordance with what is in their natures.

They explained that they desired only to stop in India until a ship traveling on to Burma could be found.

Defoe then commented, `` If they Could Draw that young Gentleman into Their Measures They would show themselves quickly, for they are not asham'd to Say They want only a head to Make a beginning ''.

They emerged as interchangeable cogs in a faulty but formidable machine: shaved nearly naked, hair queued, greatcoated, jackbooted, and best of all -- in the opinion of the British professional, Major Semple-Lisle -- `` their minds are not estranged from the paths of obedience by those smatterings of knowledge which only serve to lead to insubordination and mutiny ''.

They were aware that soldiers went to town, in more ways than one, because of the monotony of camp life, to find the only release available in the absence of movies, reading rooms, and playing fields with adequate athletic equipment.

They stopped expecting her to die the next minute, but only in the next day or two.

They caused my love for Jessica to become warmer and at the same time more hopeless, as if my adolescent self knew that only torment would ever bring me the courage to ask to see her again.

They may be claimed only by itemizing them on page 2 of Form 1040.

They serve not only as spokesmen for their areas, but they also contribute to top-level decision making.

They involve only simple mathematics that are taught in grammar school arithmetic classes.

They gathered roots, bulbs, odd ferns, leaves, and bits of resin from the rare Santa Lucia fir, which exists only on a forty-five mile strip on the westerly side of these mountains.

They were pushed gently into the room by Arlene -- whose only part appearing were hands that crept quickly back around to the kitchen side of the door.

They initiate campaigns, so to speak, even if this initiation is diffused among them, and their concerted action only psychologically organized.

They are in themselves neutral, and, so far as they get a moral quality, they get it only through being invested with it by the attitude of the onlooker.

They had traveled only a short distance when they spotted five Mexicans riding along a horse-trail across the stream just ahead of them.

They are the only poems that he rearranged as a group between their first appearance ( in Satires Of Circumstance ) and the publication of the Collected Poems.

They got it over the side and clambered aboard only a few minutes before their schooner went under.

They discovered that, although 42 per cent of a sample of Catholic students and 15 per cent of the Protestants believed it important to live in accordance with the teachings of their religion, only 8 per cent of the Jewish students had this conviction.

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

They have a finite life, especially when detecting heavy particles, because of radiation damage.

They also arise in the applications of finite group theory to crystallography and to geometry.

They showed that a mixed-strategy Nash Equilibrium will exist for any zero-sum game with a finite set of actions.

They do not generally permit more than one finite verb in a sentence, which precludes the existence of subordinate clauses in the Indo-European sense ; equivalent functions are performed by extensive arrays of nominal and participial non-finite verb forms ( although Abkhaz appears to be developing limited subordinate clauses, perhaps under the influence of Russian ).

They also include statements less obviously related to compactness, such as the De Bruijn – Erdős theorem stating that every minimal k-chromatic graph is finite, and the Curtis – Hedlund – Lyndon theorem providing a topological characterization of cellular automata.

They produce entropy at a finite rate.

The Christian philosopher George Berkeley ( 1685 – 1753 ), in his campaign against the religious implications of Newtonian mechanics, wrote a pamphlet on the lack of rational justifications of infinitesimal calculus: “ They are neither finite quantities, nor quantities infinitely small, nor yet nothing.

They are not mere modifications of this cause or properties, as with Spinoza ,-- they are free forces having " their power or spring of action in themselves, and this is sufficient for our idea of independent finite reality.

They used additional structures: in the case of the field of rational numbers they use roots of unity in the case of imaginary quadratic extensions of the field of rational numbers they use elliptic curves with complex multiplication and their points of finite order.

They have the advantage that the coordinates of points, including points at infinity, can be represented using finite coordinates.

They play the central role in the Langlands correspondence which studies finite dimensional representations of the Galois group of the field and which is one of noncommutative extensions of class field theory.

They then went on to prove that these embedded minimal surfaces are equivariant for finite group actions.

They are also known as the sporadic simple groups, or the sporadic finite groups.

They are neither finite Quantities nor Quantities infinitely small, nor yet nothing.

They are neither finite Quantities nor Quantities infinitely small, nor yet nothing.

They are finite simple groups whenever n is at least 2, with two exceptions: L < sub > 2 </ sub >( 2 ), which is isomorphic to S < sub > 3 </ sub >, the symmetric group on 3 letters, and is solvable ; and L < sub > 2 </ sub >( 3 ), which is isomorphic to A < sub > 4 </ sub >, the alternating group on 4 letters, and is also solvable.

They are also called Artin rings and are named after Emil Artin, who first discovered that the descending chain condition for ideals simultaneously generalizes finite rings and rings that are finite-dimensional vector spaces over fields.

They form a category closed under usual operations such as taking kernels, cokernels and finite direct sums.

They show that, when G is a finite connected graph, only four possible behaviors are possible for this sequence:

They are limited in that nations have " finite, if elastic boundaries, beyond which lie other nations ".

They are widely used in the method of finite differences to produce first order methods for solving or approximating solutions to equations.

In other words H is a maximal element of the partially ordered set of proper subgroups of G. Maximal subgroups are of interest because of their direct connection with primitive permutation representations of G. They are also much studied for the purposes of finite group theory: see for example Frattini subgroup, the intersection of the maximal subgroups.

They are also aware that if too much competition for finite resources prevails, their livelihood will suffer.