Word Finder - ideal

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A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.

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A subring closed under multiplication by its containing ring.

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(lattice theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).

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A collection of sets, considered small or negligible, such that every subset of each member and the union of any two members are also members of the collection.

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(Lie theory) A Lie subalgebra (subspace that is closed under the Lie bracket) 𝖍 of a given Lie algebra 𝖌 such that the Lie bracket [𝖌,𝖍] is a subset of 𝖍.

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Optimal; being the best possibility.

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Perfect, flawless, having no defects.

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Pertaining to ideas, or to a given idea.

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Existing only in the mind; conceptual, imaginary.

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Teaching or relating to the doctrine of idealism.

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the ideal theory or philosophy

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Not actually present, but considered as present when limits at infinity are included.

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An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.

To this ideal he remained faithful.

All men may perhaps be aiming everywhere at the same moral ideal,' but it is absurd to.

That may be your idea of an ideal relationship, but I had to get away from him if I was going to have a life of my own.

I guess he wasn't the ideal patient so the doctors weren't inclined to put up much of a fuss.

To Bolkonski so many people appeared contemptible and insignificant creatures, and he so longed to find in someone the living ideal of that perfection toward which he strove, that he readily believed that in Speranski he had found this ideal of a perfectly rational and virtuous man.

Here, easy accessibility, great ice in a deep, narrow gorge, facilities close by and a park run by people who understood the sport and emphasized safety, made for an ideal package.

Yet it seems plain that any theology, maintaining redemption as historical fact (and not merely ideal), must attach religious importance to conclusions which are technically probable rather than proven.

I believed in some ideal love which was to keep her faithful to me for the whole year of my absence!

Clerk Maxwell supposed two compartments, A and B, to be filled with gas at the same temperature, and to be separated by an ideal, infinitely thin partition containing a number of exceedingly small trap-doors, each of which could be opened or closed without any expenditure of energy.

The riverside trail is an ideal place to enjoy a walk or a bike ride before you eat.

Aroused would have been the ideal word, but certainly wouldn't have defused him.

There was no humidity, an ideal temperature and enough of a breeze to perfume the air with the zillion flowers recently wakened after a tough winter or per­haps just planted to welcome the approaching summer season.

On the question of reunion, the ideal of corporate unity was reaffirmed (58).

The one ideal which has just been described represents the Labour party from the New South Wales standpoint.

The other ideal, typified by the South Australian party, differs from this in one important respect.

She knew very well she had some physical assets that drew men, even if her body wasn't ideal like Toni's.

The general position which He takes up, that "the Sabbath is made for man and not man for the Sabbath," 2 is only a special application of the wider principle that the law is not an end in itself but a help towards the realization in life of the great ideal of love to God and man, which is the sum of all true religion.

With picturesque surroundings, excellent bathing beach and ideal climate, Santa Barbara is one of the most popular of the health and pleasure resorts of California.

Many of these definitions describe an ideal state of things rather than realities.

From that time, apparently under the influence of Athenian sculptors, he was conceived as the ideal of a youthful warrior, and was for a time associated with Aphrodite and Eros.

The secret of this character lies evidently in a constant attempt to express an ideal in forms more and more closely approaching to realities.

In spite of the emperor Alexander's engagements to the Grand Alliance and the ideal of European peace, this was no easy matter; for the murder of the patriarch was but the culmination of a whole series of grievances accumulated since the Treaty of Bucharest.

Six hours earlier his conclusion would have been correct, but early that morning the Prussian headquarters, alarmed for the safety of their line of retreat on Berlin by the presence of the French in Naumburg, decided to leave Hohenlohe and Rachel to act as rear-guard, and with the main body to commence their retreat towards the river Unstrutt and the Eckhardtsberge where Massenbach had previously reconnoitred an " ideal " battlefield.

As for the author, he was no Essene, for he recognizes animal sacrifices and cherishes the Messianic hope; he was not a Sadducee, for he looks forward to the establishment of the Messianic kingdom (x.); nor a Zealot, for the quietistic ideal is upheld (ix.), and the kingdom is established by God Himself (x.).

Its organization, adopted by the common synod, was the product of the new democratic ideal embodied in the Cleisthenic reforms, as interpreted by a just and moderate exponent.

Alexander was also an idealist, but his ideals were apt to centre in himself; his dislike and distrust of talents that overshadowed his own were disarmed for a while by the singular charm of Speranski's personality, but sooner or later he was bound to discover that he himself was regarded as but the most potent instrument for the attainment of that ideal end, a regenerated Russia, which was his minister's sole preoccupation.

The ideal condition is difficult to secure.

The maintaining of this ideal has proved unworkable in practice.

Bouillon is the only town on its banks, and since it is not navigable it has escaped the contamination of manufacturing life; its valley remains an ideal specimen of sylvan scenery and medieval tranquillity.

He issued few ordinances; the unofficial compilation known as the Leges Henrici shows that, like the Conqueror, he made it his ideal to maintain the "law of Edward."

His vision of the ideal state was that of a patriarchial monarchy, surrounded and advised by the traditional estates of the realm - nobles, peasants, burghers - and cemented by the bonds of evangelical religion; but in which there should be no question of the sovereign power being vested in any other hands than those of the king by divine right.

The object of the writer is to embody in St Paul the model ideal of the popular Christianity of the 2nd century.

The ruthless suppression of the Magyar malcontents, in which there was little discrimination between the innocent and the guilty, had so crushed the spirit of the country that Leopold considered the time ripe for realizing a long-cherished ideal of the Habsburgs and changing Hungary from an elective into an hereditary monarchy.

Joseph was an idealist and a doctrinaire, whose dream was to build up his ideal body politic; the first step toward which was to be the amalgamation of all his dominions into a common state under an absolute sovereign.

Writers, savants, poets, artists, noble and plebeian, layman and cleric, without any previous concert, or obvious connexion, were working towards that ideal of political liberty which was to unite all the Magyars.

But a nation that for a thousand years had maintained its individuality in the midst of hostile and rival races could not be expected to allow itself without a struggle to be sacrificed to the force of mere numbers, and the less so if it were justified in its claim that it stood for a higher ideal of culture and civilization.

It is true that we obtain this result by subtracting 3 from io by means of a subtractiontable (concrete or ideal); but this table merely gives the generalized results of a number of operations of addition or subtraction performed with concrete units.

Their ideal was a return to that simplicity of primitive Christendom which they believed they found revealed in the New Testament and in the writings of the early Fathers.

But neither in civil nor in religious life was this ideal unity expressed in fixed institutions, the old individualism of the Semitic nomad still held its ground.

But this doctrine of relativity really involves a condemnation of our knowledge (and of all knowledge), because it fails to realize an impossible and self-contradictory ideal.

The Cyrenaic ideal was, of course, utterly alien to Christianity, and, in general, subsequent thinkers found it an ideal of hopeless pessimism.

The varied natural conditions form an almost ideal site for a collection of animals; great care and skill have been expended on the designing and construction of the houses, the collection receives many accessions from various government departments, including the foreign consular service, and the whole institution is rapidly becoming a model of what is possible.

With regard to situation, the ideal would be to have the collection placed in the open country, far from centres of population.

In the pages of Epictetus the same ideal is constantly held up to us.

In the Catholic church, however, common sense prevailed, and those who desired to follow the Encratite ideal repaired to the monasteries.

The ideal of production of good to the human race through the discovery of truth, was combined in him with the practical desire to be of service to his country.

It seems quite evident 3 that Bacon, from position, early training and, one might almost think, natural inclination, held as his ideal of government the Elizabethan system.

The most interesting, and in many respects the most remarkable, is the philosophic romance, the New Atlantis, a description of an ideal state in which the principles of the new philosophy are carried out by political machinery and under state guidance, and where many of the results contemplated by Bacon are in imagination attained.

His first real success with the larger public was as a dramatist with Lady Windermere's Fan at the St James's Theatre in 1892, followed by A Woman of No Importance (1893), An Ideal Husband (1895) and The Importance of (1895).

On the other side he was involved in a quarrel with Volmar and his school, who desired to put aside from immediate consideration the complete attainment of the Socialist ideal, and proposed that the party should aim at bringing about, not a complete overthrow of society, but a gradual amelioration.