Definitions for axiom
ˈæk si əmax·iom

Princeton's WordNetRate this definition:5.0 / 1 vote

1. maxim, axiomnoun

   a saying that is widely accepted on its own merits

2. axiomnoun

   (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident

WiktionaryRate this definition:0.0 / 0 votes

1. 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.

2. 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".

3. axiomnoun

   An established principle in some artistic practice or science that is universally received.

Samuel Johnson's DictionaryRate this definition:0.0 / 0 votes

1. Axiomnoun

   Etymology: axioma, Lat. ἀξίωμα from ἀξιόω.

   1. A proposition evident at first sight, that cannot be made plainer by demonstration.

   Axioms, or principles more general, are such as this, that the greater good is to be chosen before the lesser. Richard Hooker, b. i.

   2. An established principle to be granted without new proof.

   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.

WikipediaRate this definition:0.0 / 0 votes

1. 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.

ChatGPTRate this definition:0.0 / 0 votes

1. 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 DictionaryRate this definition:0.0 / 0 votes

1. 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."

2. Axiomadjective

   an established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy

WikidataRate this definition:0.0 / 0 votes

1. 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 DictionaryRate this definition:0.0 / 0 votes

1. 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.]

CrunchBaseRate this definition:5.0 / 1 vote

1. 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 TermsRate this definition:0.0 / 0 votes

1. axiom

   A self-evident truth or proposition, that cannot be made plainer by demonstration.

Matched Categories

1. • Logic
   • Proposition

How to pronounce axiom?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

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   Tessa

   South African

How to say axiom in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of axiom in Chaldean Numerology is: 9

2. Pythagorean Numerology

   The numerical value of axiom in Pythagorean Numerology is: 8

Examples of axiom in a Sentence

1. Lynn White, Jr., "The Historical Roots of Our Ecologic Crisis", Science V. 155 No. 3767 (10 March 1967), pp. 1203-1207.:

   [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.

2. Maxwell Maltz:

   It is an old psychological axiom that constant exposure to the object of fear immunizes against the fear.

3. 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.

4. Michael Lopez-Alegría:

   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.

5. Lois McMaster Bujold:

   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.

Popularity rank by frequency of use

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=axiom
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Axiom
3. ^ Samuel Johnson's Dictionary
   https://johnsonsdictionaryonline.com/views/search.php?term=axiom
4. ^ Wikipedia
   https://en.wikipedia.org/wiki/Axiom
5. ^ ChatGPT
   https://chat.openai.com
6. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/axiom
7. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=axiom
8. ^ Chambers 20th Century Dictionary
   https://www.gutenberg.org/files/37683/37683-h/37683-h.htm#:~:text=axiom
9. ^ CrunchBase
   https://www.crunchbase.com/organization/axiom
10. ^ Dictionary of Nautical Terms
    https://www.gutenberg.org/cache/epub/26000/pg26000-images.html#:~:text=axiom