The intimations of a related spirit and ordering of human values are stronger than any sense of disparity.

However, this is not the stronger sense of completeness desired for Principia Mathematica, since a given system of axioms ( such as those of Principia Mathematica ) may have many models, in some of which a given statement is true and in others of which that statement is false, so that the statement is left undecided by the axioms.

Thus, in order to show that any axiomatic system of mathematics is in fact consistent, one needs to first assume the consistency of a system of mathematics that is in a sense stronger than the system to be proven consistent.

A butterfly's sense of taste, 200 times stronger than humans, is coordinated by chemoreceptors on the tarsi, or feet, which work only on contact, and are used to determine whether an egg-laying insect's offspring will be able to feed on a leaf before eggs are laid on it.

The separation axioms all say, in one way or another, that points or sets that are distinguishable or separated in some weak sense must also be distinguishable or separated in some stronger sense.

Donkeys have a notorious reputation for stubbornness, but this has been attributed to a much stronger sense of " self preservation " than exhibited by horses.

The Jacobson radical of a ring consists of elements which satisfy a stronger property than being merely a non-unit – in some sense, a member of the Jacobson radical must not " act as a unit " in any module " internal to the ring.

It is widely conjectured that there is no computationally inexpensive method to solve chess even in the very weak sense of determining with certainty the value of the initial position, and hence the idea of solving chess in the stronger sense of obtaining a practically usable description of a strategy for perfect play for either side seems unrealistic today.

It is in the stronger sense of becoming a single church that the Traditional Anglican Communion sought " full communion " with the Roman Catholic Church as a sui iuris ( particular Church ) jurisdiction.

Its membership is now deciding whether to accept the offer of full communion ( again in the stronger sense ) within the framework of personal ordinariates of the Latin Rite of the Roman Catholic Church.

However, this new direction for the NME proved to be a commercial success and the paper brought in new writers such as Andrew Collins, Stuart Maconie, Mary Anne Hobbs and Steve Lamacq to give it a stronger identity and sense of direction, although Mark Sinker left in 1988 after the paper refused to publish a negative review he wrote of U2's Rattle and Hum.

Like his fellow Nazarenes he was more draughtsman than painter, and though his sense of colour was stronger than that of Overbeck or Cornelius, his works are generally more of the nature of coloured cartoons than of paintings in the modern sense.

The absence of color not only gives the audience a sense of " anyplace " ( and thus allows flexibility from play to play or from scene to scene ), it also allows individual lighting cues to be that much stronger.

It can be shown that for any odd composite n, at least ¾ of the bases a are witnesses for the compositeness of n. The Miller – Rabin test is strictly stronger than the Solovay – Strassen primality test in the sense that for every composite n, the set of strong liars for n is a subset of the set of Euler liars for n, and for many n, the subset is proper.

This tradition generally hopes that by passing on the traditional language, the students will also retain a better memory of their culture's history and a stronger sense of cultural identity.

He began to write novels that reflected his stronger sense of activism.

# Generally speaking, groups whose living conditions provide people with a stronger sense of existential security and individual agency nurture a stronger emphasis on secular-rational values and self-expression values.

He believed in a socialist government, and a stronger sense of nationalism.

Regardless of how one may judge it, the fact is that the stronger one's sense of identity, the more likely one is to care about it, to see themselves as different — the more meaningful it ( personal concept ) is and the world one inhabits.

The aim of much humanistic therapy is to help the client approach a stronger and more healthy sense of self, also called self-actualization.

If the definition of a term such as “ equality ” can be stretched to include a particular act or condition, then public support for that act or condition is likely to be stronger than it was previously.

Daniel Shanks conjectured asymptotic equality of record gaps, a somewhat stronger statement than Cramér's conjecture.

As part of the Charter of 1856, European powers demanded a much stronger sovereignty for ethnic communities within the empire, differing from the Ottomans who envisioned equality meaning identical treatment under the law for all citizens.

This may be because of a stronger presumption of equality between investors, or it may be because a company employee who also trades in the company's stock has a conflict of interest, and has thus misrepresented himself the company.

Continuing in this direction, he claimed not to understand the feminist movement, which led women to abandon their stronger connection to nature and intuition for a superficial political and economic equality with men ( Young 123 ).

It took thirty of our women almost six moons to build this one, which is higher and stronger than the old one.

not only loathing of captivity, but a faith, a hope that is even stronger.

when it represents only itself and on which is its complement ( so that go on is semantically equivalent to board ), on has stronger stress than go does.

But when to represents to consciousness in that was the moment that I came to, and similarly in that was the moment I came to, there is much stronger stress on to.

In the second sentence if drinking water is a gerundial clause and without drinking water is roughly equivalent in meaning to unless I drink water, there will be stronger stress on water than on drinking ; ;

but if drinking is a gerundial noun modifying water and without drinking water is equivalent to without water for drinking, there will be stronger stress on drinking than on water.

When the snobbery that alienates Pip from Joe finally gives way before the deeper and stronger force of love, the reunion is marked by an embarrassed handshake at which Pip exclaims: `` No, don't wipe it off -- for God's sake, give me your blackened hand ''!!

There is no single issue that has aroused stronger feelings throughout the world.

Maris's throwing arm is stronger.

Gurevich: "... Turing's informal argument in favor of his thesis justifies a stronger thesis: every algorithm can be simulated by a Turing machine ... according to Savage, an algorithm is a computational process defined by a Turing machine ".

In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

For example, if we abbreviate by BP the claim that every set of real numbers has the property of Baire, then BP is stronger than ¬ AC, which asserts the nonexistence of any choice function on perhaps only a single set of nonempty sets.

The much stronger axiom of determinacy, or AD, implies that every set of reals is Lebesgue measurable, has the property of Baire, and has the perfect set property ( all three of these results are refuted by AC itself ).

One of the stronger influences is her love of the mystical and mysterious.

A fourth match was played, against a " United Australian XI ", which was arguably stronger than the Australian sides that had competed in the previous three matches ; this game, however, is not generally considered part of the 1882 – 83 series.

For example, steel is stronger than iron, its primary element.

This is because the distance between the Earth and the Sun is not fixed ( it varies between AU and AU ) and, when the Earth is closer to the Sun ( perihelion ), the Sun's gravitational field is stronger and the Earth is moving faster along its orbital path.