In set theory he made important contributions to the axiom of choice and to the continuum hypothesis. |
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One axiom of modern warfare is that airpower cannot conquer, control or hold ground. |
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Plato had made the bold suggestion that there might be a single axiom system to embrace all knowledge. |
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The student who is tempted to skip it and trust to luck should be mindful of Francis Bacon's axiom. |
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Like all absolutist dogmas, this combination of axiom and corollaries appeals in its simplicity and directness. |
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Well, you can fall you back on the axiom that he who pays the piper calls the tune. |
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I start from the simple axiom that I own myself, that my life belongs to me and not to someone else. |
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It has long been an axiom that history is re-written by each generation in terms that make sense to it. |
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These he removed with his reinterpretation that removed the axiom of reducibility. |
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However he also showed that linear sentence systems do have independent axiom systems. |
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Sure, the old axiom recommends aviating first, navigating second, and communicating third. |
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Not that any political party cannot be expected to share the motherhood-and-apple-pie axiom that crime is a bad thing. |
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It is now an axiom that the overwhelming power of the American military machine has reshaped international affairs. |
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This story out of USA Today makes false the axiom that lightning never strikes the same place twice. |
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The taller the man, the bigger the hands is an axiom that doesn't necessarily hold true for wide receivers. |
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I used to live by the axiom that it's easier to warm up in the cold than cool off in the heat. |
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It is an axiom that justice must not only be done, it must be seen to be done. |
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It is an axiom that every research establishment is strong to the extent of an unbreakable link existing between different generations. |
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The axiom is that golf was never meant to be a fair game, so then the natural response is when does it become an unfair game? |
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I decline to accept as an axiom that our fate is involved in that of France. |
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Robert Simson of Glasgow University had, in his 1756 edition of the Elements, given a proof of the parallel axiom based on another assumption. |
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Note that each line in a proof is either an axiom, or follows from previous lines by one of the simple rules. |
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Newton's axiom on slicing the pie to satisfy musical harmonies is reminiscent of Kepler's Pythagorean speculations. |
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Many blogs feature in their heading a maxim, aphorism, saying, adage, axiom, saw, proverb, epigram or precept. |
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Critics of both films offered strictures that suggest more than an awareness of this axiom. |
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But at some point, you must reach what one might call a moral axiom that you can't logically demonstrate. |
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For more than a century, Lyell's rhetoric conflating axiom with hypotheses has descended in unmodified form. |
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From this market axiom and this required loyalty level, one can understand how the company works and the part I play in it. |
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The axiom of uniformity of law is necessary in order for scientists to extrapolate inductive inference into the unobservable past. |
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It is an axiom of this theory that hard-tissue units comparable in structure to placoid scales can be inferred to have developed in a directly comparable manner. |
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A good axiom, he felt, should help mathematicians settle not only the continuum hypothesis but also many other questions about Cantor's hierarchy of infinite sets. |
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The Immaculate Conception and the Assumption are rooted in the patristic axiom that Mary was the worthy Mother of God, a worthy tabernacle of the Most High. |
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Creation science is the systematic study of nature, which operates under the axiom that the cosmos is the result of a supernatural causation. |
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While it seems self-apparent that parallel lines will never converge, later mathematicians were caught up in studying this particular axiom in more depth. |
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It was an axiom that Ireland assimilated settlers in one generation. |
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It is a similar axiom of democracy that politicians should be subject to the rule of law. |
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Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as much as it is a gift to oneself. |
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Tomorrow the great leader's axiom will be recalled afresh once again. |
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The «do no harm» axiom is a lens to enable better recognition and understanding of a conflict, its causes, its actors, and its dynamics. |
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This axiom needs to be recognized not only by scientists, but also by institutions, including the private sector and all actors of society. |
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It is an axiom that two people working together on this task can do far more than two people working apart on the same task. |
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There is therefore a need to reaffirm the axiom that we are in a market economy, not a market society. |
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With the spread of blogs in the Arab world, the axiom that these blogs will bring democracy to the Arab countries also appeared! |
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Usually, when the Dollar is so weak, the Euro gets stronger, yet last week this axiom failed to exist. |
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Our main result generalizes Büchi's theorem for finite words to a class of pomsets without auto-concurrency which satisfy a natural axiom. |
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The Euclidean construction axiom allows for the extraction of all real square roots and thus includes even more constructions than the Pythagorean axiom. |
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We have all heard the very true axiom that bookmakers really don't care who wins any given game, as long as there are equal amounts wagered on both sides. |
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However the axiom that the quality and cost of the food in a revolving restaurant is in inverse proportion to the height of the tower doesn't apply here. |
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To start where students are can be a wise educational axiom, but it can be taken too far. |
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We all know the old axiom that writers are, by their very nature, liars. |
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However, six years after the launch of Arab blogs, I believe that this axiom is completely untrue. |
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For him, the philosopher should proceed through inductive reasoning from fact to axiom to physical law. |
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A hemispheric axiom has it that when a dictator falls afoul of Washington, his opponents are emboldened to try to topple him. |
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It is an axiom of agricolation that the soil must be made suitable for the crop. |
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In a recently published Nature Nanotechnology article, Leti researchers explained that they achieved their breakthrough result by taking an approach transgressing a very well established axiom in nanowire growth. |
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In addition, the overemphasis on the local man and woman underlines another important axiom about Irish elections: they are in fact 43 separate byelections, often fought on localised issues. |
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It is a generally accepted axiom in military science that attacking forces should have a numerical superiority of three to one over the defenders. |
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The Aristotelian logic of the simple syllogism starts from the proposition that 'A' is equal to 'A.' This postulate is accepted as an axiom for a multitude of practical human actions and elementary generalizations. |
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An appeal to the latter was once considered self-evident, but the tide of positivism in contemporary legal theory requires the restatement of this important axiom. |
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It is also a reminder that there is one axiom of Irish politics you should never forget and that is to never, ever underestimate the Soldiers of Destiny. |
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Well aware of this fundamental axiom, the Moroccan Authorities, in dialogue with the operators of the private sector, have decided to focus their efforts on three major axes for reflection and action. |
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A lot has changed since then, but Robert Schuman's and Jean Monnet's basic axiom to the effect that a lasting peace is created by weaving peoples and nations together in mutually enriching dependence is still valid. |
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The precautionary principle is therefore not a mere philosophical axiom, but also a doctrine, which must be understood at local, national, and regional governmental levels. |
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It is a well accepted axiom that a soldier's regiment is his family. |
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The PN space under the strong topology is a Hausdorff space and satisfies the first countability axiom. |
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For Scotus, the axiom stating that only the individual exists is a dominating principle of the understanding of reality. |
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The formula for the area of a rectangle follows directly from the basic properties of area, and is sometimes taken as a definition or axiom. |
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An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. |
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As used in modern logic, an axiom is simply a premise or starting point for reasoning. |
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In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived. |
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Among the ancient Greek philosophers an axiom was a claim which could be seen to be true without any need for proof. |
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Each of these patterns is an axiom schema, a rule for generating an infinite number of axioms. |
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Other axiom schemas involving the same or different sets of primitive connectives can be alternatively constructed. |
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These axiom schemata are also used in the predicate calculus, but additional logical axioms are needed to include a quantifier in the calculus. |
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Thus, an axiom is an elementary basis for a formal logic system that together with the rules of inference define a deductive system. |
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Throughout the article X will denotes the topological Hausdroff group, written additively, which satisfies the first axiom of countability. |
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This is not because of a result of a neo-Kantian theory of knowledge, as in Mises, but because the central axiom has been grounded in a Thomistic philosophical framework. |
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Here Gomori starts with a conversational tone, which continues with playfulness and ends either in an axiom or in a philosophical statement, written with a light pen. |
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Hammond points out that a violation of the former principle involves a violation of the Weak Axiom of Revealed Preference, as in Plott. |
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Big Hand, Erddig, Sandstone, Axiom, Wrexham Lager and Wrexham Lager Beer breweries have all come to prominence in the last few years. |
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Violations of the Betweenness Axiom and Nonlinearity in Probability. |
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According to CrackBerry, the extreme drop tests on the BlackBerry Passport were conducted by Sherif and Anas from Axiom, which is based in Saudi Arabia. |
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