Sentences with phrase «axioms of»

I have worked particularly with forcing and large cardinals, those strong axioms of infinity, and have investigated the interaction of these two central set - theoretic concepts.

Rather, they identified a dozen «systematic violations of the axioms of rationality in choices between gambles.»

When the novice is told that by the weight of authority not even good faith is a requisite, the doctrine apparently affords an anomalous instance of maturing a wrong into a right contrary to one of the most fundamental axioms of the law.

The Rocket Lawyers and Axioms of the world are already beginning to challenge the flip phone standards that prevail now in the delivery of legal services.

If you want to argue from a position of discipline and reason, use actual facts, maybe the periodic table, some axioms of physics and thermodynamics of RF molecular eK induction > ambient states, a little algebra or even that calculus you brag of.

After all, methodologically, it isn't too far from economics in the way it progresses: contestable data and modelling methods relying upon «laws» — whether they be Savage's axioms of rationality or the laws of radiation — which whilst credible in isolation are rendered unintelligible by complexity.

Focus on the argument given in Jelbring, only, using the very axioms of ordinary thermal physics that he claims are satisfied by his result.

If the catechism is to make any sense, you have to accept the dogmas or axioms of the faith, which I gather is your fundamental objection.

There is a small difference between axioms in mathematics (that lead to consistent systems of derived theorems) and axioms regarding the real world, and a greater difference still between those axioms (which lead to inferences and probable truth) and the axioms of religion.

This simple statement is one of the axioms of geology, first... Continue reading →

As Drake notes, attachment to observation fully, completely, and ineluctably separated science from the essences and axioms of philosophy.

It is one of the great axioms of art.

These axioms of Bruce Kovner are what I teach in my trend following mentor courses.

Read about how to best reap the benefits of electronic paper by paying attention to certain axioms of creating an electronic paper signage solution.

«I wanted to come to graduate school to begin to understand some of the struggles, successes, complications, and axioms of life that I had...

Confirming two axioms of popular cinema simultaneously, Marvel's Guardians of the Galaxy (hereafter Guardians) demonstrates that there is nothing new under the sun, but also that execution can easily trump story to make a pretty swanky piece of pop bubblegum.

Jacob Aron says that if one of the Turing machines simulated by Adam Yedidia and Scott Aaronson halts, it would prove the set of axioms of mathematics called ZFC to be inconsistent, but mathematicians wouldn't be too panicked because «they could simply shift to a slightly stronger set of axioms» (14 May, p 9).

«For pure logic, all axioms are arbitrary, including the axioms of ethics.

(Cohen's work complemented work by Kurt Gödel in 1940 that showed that the continuum hypothesis couldn't be disproved within the usual axioms of mathematics.)

The first strategy is satisfied with pointing out that, in the end, at least the axioms of unitary physics become transparent.

Which is to say, it was part of those axioms of reason that formed the ground of — whisper — the natural law.

Therefore, the two fundamental biblical - theological axioms of worship which are basic to worship renewal are rooted in the Christ event which the church, as the unique people of this event, is called to celebrate.

In the hands of lawyers such as John Marshall, James Wilson, and Alexander Hamilton, these axioms of law would be there even if there were no Constitution.

Axioms of enormous mathematical power are then framed characterizing membership.

Presumably the latter, for it is remarked parenthetically that «the comparison of them with axioms of set theory might be worth exploring.»

This contention seems rather strained, however, as indeed does the earlier one that the comparison of the metaphysical principles (9) and (10) «with axioms of set theory might be worth exploring.»

It is now appropriate to bring together in the form of axioms some of the new emphases discussed in previous chapters.

If one had the axioms of Galilean or Newtonian physics one would not get space as Whitehead gets it.

These are axioms of a geometrical nature.

The only novelty may come in breaking away from the clichés that have come to pervade our discussion of law and in recovering what judges used to understand as the axioms of reason that supplied the grounds of their judgments.

If he appears critical of contemporary Judaism, as in Mark 7, it is because he reasserts the fundamental axioms of the Old Testament in a radical way.

The axioms of each mathematical system define its particular kind of order, its special manifestation of mind.

The Rees - Mogg filibuster is a colorful cultural event that often includes the recitation of poetry, English folk tales, English history, axioms of old English Common Law, and various Latin dicta.

Under this program, geometry and number theory are unified insofar as they are part of the same activity: deriving consequences from the axioms of Principia Mathematica (or, equivalently, from those of Zermelo - Fraenkel set theory).

(7) The horizons of text and student must mesh: for only so can God's teaching in the text deliver us from the intellectual idolatry which absolutizes the axioms of contemporary culture.

One of the first axioms of the field of linguistics is that the rules of usage in any language at any time are wholly conventional.

These other properties then become the axioms of that concept of the material world.

Until the nineteenth century, mathematicians traditionally held that the axioms of geometry, arithmetic, and other disciplines could be established as self - evidently true statements about objects in space.

Whether he consciously realized what he was doing I do not know; but I am sure that he implicitly thought of metaphysical principles as the axioms of the «logical system» of the world.

The laws of mechanics have their origin in (i.e., are axioms of) these extraneous relations.

Since no logically incompatible statements can be true simultaneously — and the basic axioms of mathematics were considered true — it was thought that no truly irresoluble contradictions would ever arise between them.

Its teaching is not, of course, the small sum - total of a few isolated, ready - made propositions which simply stand side by side like the ultimate axioms of geometry.

But what you CAN say about it is that it is consistent within the system and axioms of Euclidean geometry.

One of the axioms of global geopolitics is that a country can project power only as far as its economic might allows.

It is such a familiar axiom of management that it is nearly cliché.

Though the check - in slows meetings down — it can take as long as an hour — the process reinforces the company's axiom of making its people feel like ends in themselves, not just means by which the company can make money.

The moral Contrasting Ms. Bachmann's remarks to the panicky claims by Mr. Geithner and Hank Paulson in September 2008 confirm a basic axiom of today's junk economics: When an economic error becomes so widespread that it is adopted as official government policy, there is always a special interest at work to promote it.

On the deepest economic plane today's global financial breakdown is part of the price to be paid for the Federal Reserve and U.S. Treasury refusing to accept a prime axiom of banking: Debts that can not be paid, won't be.

It is an axiom of power politics to defend against the enemy that potentially could materialize.

This also ties in well to the axiom of «every action has an opposite and equal reaction.»