axiom vs maxim

axiom maxim

Definitions

• 1) philosophy A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
• 2) mathematics, logic A fundamental theorem that serves as a basis for deduction of other theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
• 3) mathematics, logic A fundamental theorem that serves as a basis for deduction of other theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent".
• 4) An established principle in some artistic practice or science that is universally received.
• 5) philosophy A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
• 6) A self-evident or universally recognized truth; a maxim.
• 7) An established rule, principle, or law.
• 8) A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate.
• 9) (Logic & Math.) A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, “The whole is greater than a part;” “A thing can not, at the same time, be and not be.”
• 10) (Logic & Math.) A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, “The whole is greater than a part;” “A thing can not, at the same time, be and not be.”
• 11) An established principle in some art or science, which, though not a necessary truth, is universally received.
• 12) a saying that is widely accepted on its own merits
• 13) (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
• 14) A self-evident, undemonstrable, theoretical, and general proposition to which every one who apprehends its meaning must assent.
• 15) In logic, a proposition, whether true or false: a use of the term which originated with Zeno the Stoic.
• 16) one of those generalizations of ordinary experience which nobody doubts, and which are soon replaced by scientific formulations, which latter are also, but less properly, termed middle axioms.
• 17) Any higher proposition, obtained by generalization and induction from the observation of individual instances; the enunciation of a general fact; an empirical law.

Definitions

• 1) A precept; a succinct statement or observation of a rule of conduct or moral teaching.
• 2) A self-evident axiom or premise; a pithy expression of a general principle or rule.
• 3) A succinct formulation of a fundamental principle, general truth, or rule of conduct. synonym: saying.
• 4) An established principle or proposition; a condensed proposition of important practical truth; an axiom of practical wisdom; an adage; a proverb; an aphorism.
• 5) (Mus.) The longest note formerly used, equal to two longs, or four breves; a large.
• 6) a saying that is widely accepted on its own merits
• 7) English inventor (born in the United States) who invented the Maxim gun that was used in World War I (1840-1916)
• 8) Same as maxima.
• 9) An axiom.
• 10) In logic, the rule of a commonplace; an ultimate major premise.
• 11) A proposition serving as a rule or guide; a summary statement of an established or accepted principle; a pithy expression of a general rule of conduct or action, whether true or false: as, the maxims of religion or of law; the maxims of worldly wisdom or of avarice; ethical maxims.

Examples

• 1) up-country axiom: `If it ain't broke, don't fix it "might well apply here.
• 2) Use of the term axiom reinforces that our computational model is a mathematical, formal system and that analogue execution is a form of deduction from the axioms or assumptions explicitly programmed into the model.
• 3) Although he lacks the historical context to articulate Kant's Categorical Moral Imperative, he describes a Supreme Being for whom something akin to this axiom is the ultimate measure of a man, a God who believes that one's ethical duty is to acquire and exercise wisdom, to evaluate and constantly re-evaluate one's beliefs -- including what one's ethical duty is -- by applying the utmost objectivity to one's own preconceptions and prejudices.
• 4) So if the math relates to a physics matter the "axiom" is tested.
• 5) It seems the operating axiom is the old "When all else fails, do what's right."
• 6) That simple axiom is a radical critique of an age in which ideological lines are hardening and real dialogue diminishing in the public arena.
• 7) That axiom is also true in fantasy baseball, where managing a pitching staff down the stretch is often the key to winning a championship because major league teams often don't have the same agendas for their pitchers as fantasy owners do.
• 8) No, the axiom is concerned with the morality of genocide.
• 9) ‘I decline to accept as an axiom that our fate is involved in that of France.’
• 10) ‘It is an axiom that every research establishment is strong to the extent of an unbreakable link existing between different generations.’
• 11) ‘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.’
• 12) ‘But at some point, you must reach what one might call a moral axiom that you can't logically demonstrate.’
• 13) ‘The taller the man, the bigger the hands is an axiom that doesn't necessarily hold true for wide receivers.’
• 14) ‘It is a well-accepted axiom that the software ‘industry’ grew largely because of government indifference, not its help.’
• 15) ‘In few other areas of the law is there greater truth to the axiom that ‘justice delayed is justice denied.’’
• 16) ‘With so much going on, there is an axiom that if you visit NY for a day you will see most of what you want; for a week, some of what you want; and if you live there, you will see none of it.’
• 17) ‘There's an old axiom that ‘Duty is heavier than a mountain, death is lighter than a feather.’’
• 18) ‘It is now an axiom that the overwhelming power of the American military machine has reshaped international affairs.’
• 19) ‘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.’
• 20) ‘We all know the old axiom that writers are, by their very nature, liars.’
• 21) ‘Not that any political party cannot be expected to share the motherhood-and-apple-pie axiom that crime is a bad thing.’
• 22) ‘This story out of USA Today makes false the axiom that lightning never strikes the same place twice.’
• 23) ‘The film is above all a mediation on the optimistic axiom that ‘life goes on’.’
• 24) ‘I start from the simple axiom that I own myself, that my life belongs to me and not to someone else.’
• 25) ‘It was an axiom that Ireland assimilated settlers in one generation.’
• 26) ‘It has long been an axiom that history is re-written by each generation in terms that make sense to it.’
• 27) ‘It is an axiom that justice must not only be done, it must be seen to be done.’
• 28) ‘I used to live by the axiom that it's easier to warm up in the cold than cool off in the heat.’
• 29) ‘The second chapter presents a development of absolute and Euclidean geometry based on Hilbert's axioms.’
• 30) ‘Robert Simson of Glasgow University had, in his 1756 edition of the Elements, given a proof of the parallel axiom based on another assumption.’
• 31) ‘He sees mathematics as ontology and so his return to philosophy is to a systematic one based on the axioms of set theory.’
• 32) ‘Gödel showed, in 1940, that the axiom of Choice cannot be disproved using the other axioms of set theory.’
• 33) ‘In 1904 he gave axioms for a boolean algebra then later, in 1933, he showed that a boolean algebra could be defined in terms of a single binary and a single unary operation.’

Examples

• 1) What has happened to that old but sound maxim of buyer beware?
• 2) But the oldest maxim in football is that goals change matches.
• 3) The old maxim of going out at the top and leaving them wanting more is still the best.
• 4) IT'S the oldest maxim in sport.
• 5) What is said on the field stays on the field, as the old maxim goes.
• 6) ARSENAL fans should remind themselves of the oldest maxim in football.
• 7) A sensible political maxim is to stop digging when you are in a hole.
• 8) If you are able to follow this maxim successfully, you should end up buying low and selling high.
• 9) An old business school maxim says that you can either do what your rivals do and do it better or try to do things differently.
• 10) That old maxim will do.
• 11) A subsidiary one was the older maxim that those who love animals most, love people the least.
• 12) The old maxim is: 'The law does not recognise a part of a day.
• 13) In Britain, the old maxim turns out to be truer than you might think.
• 14) Planet Fashion's favourite style maxim of mixing strict tailoring with something deliciously light is easy enough to follow.
• 15) This maxim is a wise guide to a great and simple precaution in life: Never, ever, think about something else when you should be thinking about the power of incentives …
• 16) [5] this maxim is as true as ever fell from poetical pen & there has more morality distilled from the waters of Helicon [6] than ever was procured from the withered skulls of metaphysicians or Philosophers.
• 17) And the old ‘first impressions’ maxim is one which cuts both ways, unfortunately for all concerned.
• 19) Yes, because they completely misunderstood what the beer-before-liquor maxim is about.
• 20) And this time, he likely has a better understanding than ever of the oft-quoted Mark Twain maxim: "Be good and you will be lonesome."
• 21) Note 47: The product of a progymnasmata exercise, gnome, a maxim, is an adaptation (abstraction or elaboration) of a preexisting moral statement.
• 22) Now, I do agree that a novel should be as long as a novel needs to be, but included within that maxim is the corollary that a novel should never be longer than it needs to be.
• 23) The flaw in Sagan's maxim is that an extraordinary claim is simply a claim about an extraordinary event and the occurrence of an extraordinary event does not necessarily entail that it would come with extraordinary evidence.
• 24) ‘The general maxim is that it is better for ten guilty men to go free than punish an innocent, and so we should oppose this change.’
• 25) ‘Perhaps, the gist of it all could be summed up in the old maxim that truth is stranger than fiction.’
• 26) ‘And the loveable curmudgeon is responsible for most of literature's best quotations, maxims and aphorisms.’
• 27) ‘In retrospect, my conversations reinforced a few very general maxims.’
• 28) ‘Some of these examples are maxims, precepts, quips, proverbs and epigrams.’
• 29) ‘The common proverbial maxims of prudence, being founded in universal experience, are perhaps the best general rules which can be given about it.’
• 30) ‘These were the jet-setting academics of the ancient world, who were praised for their maxims and consulted for their wisdom.’
• 31) ‘From childhood through adolescence, maxims are drilled into people; they get a manufactured answer for every question.’
• 32) ‘They'll assume you're following certain maxims, and because of that platform of understanding, you can be much more meaningful.’
• 33) ‘Besides the potential of wisdom attributed to popular maxims there is another sign pointing in the same direction.’
• 34) ‘This maxim was perhaps most apparent in May when the company announced it was going public.’
• 35) ‘Together, writers associated with raison d'état are seen as providing a set of maxims to leaders on how to conduct their foreign affairs so as to ensure the security of the state.’
• 36) ‘Men of maxims enter into no such education, retaining the patented rules they already have to hand, bought off a common shelf.’
• 37) ‘Therefore, ethical action is equated with following rules, principles, laws, maxims, and codes.’
• 38) ‘It is also true that ‘white wine with fish and red wine with meat’ is an absurd generalization built on a couple of sound maxims.’
• 39) ‘One would not expect a common ethical standard among maxims spoken by different characters in a mime.’
• 40) ‘It can also mean a precept, rule, principle, maxim, formula or method.’
• 41) ‘What we have seen in various states is little more than the confirmation of old maxims about how and why governments grow and what, if anything, can be done to arrest that growth.’
• 42) ‘He abhorred the arrogant youngsters intruding on companies of whose staff and products they were wholly ignorant, brandishing maxims that threw hundreds out of work.’
• 43) ‘You must form all conclusions and all maxims for yourselves, from premises and data collected and considered by yourself.’
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