What does AXIOM mean?
Definitions for AXIOM
ˈæk si əmax·iom
This dictionary definitions page includes all the possible meanings, example usage and translations of the word AXIOM.
Princeton's WordNet
maxim, axiomnoun
a saying that is widely accepted on its own merits
axiomnoun
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
Wiktionary
axiomnoun
A seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proven or dis‐proven.
axiomnoun
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".
axiomnoun
An established principle in some artistic practice or science that is universally received.
Samuel Johnson's Dictionary
Axiomnoun
Etymology: axioma, Lat. ἀξίωμα from ἀξιόω.
Axioms, or principles more general, are such as this, that the greater good is to be chosen before the lesser. Richard Hooker, b. i.
The axioms of the law, whereby natural agents are guided, have their use in the moral. Richard Hooker, b. i.
Their affirmations are unto us no axioms; we esteem thereof as things unsaid, and account them but in list of nothing. Thomas Browne, Vulgar Errours, b. i.
Wikipedia
Axiom
An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning 'that which is thought worthy or fit' or 'that which commends itself as evident'.The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. In modern logic, an axiom is a premise or starting point for reasoning.In mathematics, an axiom may be a "logical axiom" or a "non-logical axioms". Logical axioms are taken to be true within the system of logic they define and are often shown in symbolic form (e.g., (A and B) implies A), while non-logical axioms (e.g., a + b = b + a) are substantive assertions about the elements of the domain of a specific mathematical theory, such as arithmetic. Non-logical axioms may also be called "postulates" or "assumptions". In most cases, a non-logical axiom is simply a formal logical expression used in deduction to build a mathematical theory, and might or might not be self-evident in nature (e.g., the parallel postulate in Euclidean geometry). To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there are typically many ways to axiomatize a given mathematical domain. Any axiom is a statement that serves as a starting point from which other statements are logically derived. Whether it is meaningful (and, if so, what it means) for an axiom to be "true" is a subject of debate in the philosophy of mathematics.
ChatGPT
axiom
An axiom is a statement or proposition that is regarded as being self-evidently true or universally accepted, so much so that it serves as a starting point for reasoning, discussion, or a logical system. Axioms do not require proof or evidence, but are instead considered foundational or basic principles.
Webster Dictionary
Axiomadjective
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."
Axiomadjective
an established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy
Wikidata
Axiom
An axiom, or postulate, is a premise or starting point of reasoning. As classically conceived, an axiom is a premise so evident as to be accepted as true without controversy. The word comes from the Greek ἀξίωμα 'that which is thought worthy or fit,' or 'that which commends itself as evident.' As used in modern logic, an axiom is simply a premise or starting point for reasoning. Axioms define and delimit the realm of analysis; the relative truth of an axiom is taken for granted within the particular domain of analysis, and serves as a starting point for deducing and inferring other relative truths. No explicit view regarding the absolute truth of axioms is ever taken in the context of modern mathematics, as such a thing is considered to be an irrelevant and impossible contradiction in terms. In mathematics, the term axiom is used in two related but distinguishable senses: "logical axioms" and "non-logical axioms". Logical axioms are usually statements that are taken to be true within the system of logic they define, while non-logical axioms are actually defining properties for the domain of a specific mathematical theory. When used in the latter sense, "axiom," "postulate", and "assumption" may be used interchangeably. In general, a non-logical axiom is not a self-evident truth, but rather a formal logical expression used in deduction to build a mathematical theory. As modern mathematics admits multiple, equally "true" systems of logic, precisely the same thing must be said for logical axioms - they both define and are specific to the particular system of logic that is being invoked. To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences. There are typically multiple ways to axiomatize a given mathematical domain.
Chambers 20th Century Dictionary
Axiom
aks′yum, n. a self-evident truth: a universally received principle in an art or science.—adjs. Axiomat′ic, Axiomat′ical.—adv. Axiomat′ically. [Gr. axiōma—axio-ein, to think worth, to take for granted—axios, worth.]
CrunchBase
Axiom
Axiom is a 1,000-person firm, serving nearly half the F100 through 11 offices and 4 delivery centers globally. As leaders and experts in the business of law, they experience a nerdy excitement from helping General Counsel solve business problems and they do it through three forms of engagement:
Dictionary of Nautical Terms
axiom
A self-evident truth or proposition, that cannot be made plainer by demonstration.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of AXIOM in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of AXIOM in Pythagorean Numerology is: 8
Examples of AXIOM in a Sentence
We’re carrying on NASA’s legacy by designing an advanced spacesuit that will allow astronauts to operate safely and effectively on the Moon, axiom Space’s Artemis III spacesuit will be ready to meet the complex challenges of the lunar south pole and help grow our understanding of the Moon in order to enable a long-term presence there.
The Ax-1 mission is very different from what you may have heard of in some of the recent — especially suborbital — missions. We are not space tourists, i think there's an important role for space tourism, but it is not what Axiom is about.
Lois McMaster Bujold, "Memory", 1996:
His mother had often said, When you choose an action, you choose the consequences of that action. She had emphasized the corollary of this axiom even more vehemently: when you desired a consequence you had damned well better take the action that would create it.
This mission is very different from what you may have heard of in some of the recent — especially suborbital — missions. We are not space tourists, i think there's an important role for space tourism, but it is not what Axiom is about.
[W]e shall continue to have a worsening ecologic crisis until we reject the Christian axiom that nature has no reason for existence save to serve man.
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References
Translations for AXIOM
From our Multilingual Translation Dictionary
- بديهية, مسلمةArabic
- аксиомаBulgarian
- axiomaCatalan, Valencian
- axiomCzech
- AxiomGerman
- αξίωμαGreek
- aksiomoEsperanto
- axiomaSpanish
- axiomPersian
- perusväittämä, aksiomi, peruslause, perusväiteFinnish
- axiomeFrench
- सिद्धांतHindi
- axiómaHungarian
- աքսիոմArmenian
- axiomoIdo
- frumsenda, frumsetningIcelandic
- assiomaItalian
- 公理Japanese
- 公理, 공리Korean
- axiōma, Axioma,Latin
- axiomaDutch
- aksjomat, pewnikPolish
- axiomaPortuguese
- аксиомаRussian
- aksìōm, аксѝо̄мSerbo-Croatian
- axiómaSlovak
- aksiomSlovene
- axiomSwedish
- สัจพจน์Thai
- aksiyomTurkish
- chân lý, sự thậtVietnamese
- xiomVolapük
- 公理Chinese
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