### axiom

- a saying that widely accepted on its own merits
- (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident

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 (e.g., (A and B) implies A), while non-logical axioms (e.g., 1= a + b = b + a) are actually defining properties for t...

Found on http://en.wikipedia.org/wiki/Axiom

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*n]* - (logic) a proposition that is not susceptible of proof or disproof

Found on http://www.webdictionary.co.uk/definition.php?query=axiom

• (a.) An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy. • (a.) 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 ne...

Found on http://thinkexist.com/dictionary/meaning/axiom/

*[camera]* AXIOM is an open hardware and free software digital cinema camera family of devices being developed by a DIY community around the apertusĀ° project. == History == In 2006, people on the DVInfo.net forums started experimenting with adapting Elphel open hardware camera devices for film production in a forum thread entitled `High Defi...

Found on http://en.wikipedia.org/wiki/AXIOM_(camera)

*[computer algebra system]* Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed, mathematically (mostly) correct type hierarchy. == History == Axiom has been in development since 1965. It was started by James Greismer at the request of Ra...

Found on http://en.wikipedia.org/wiki/Axiom_(computer_algebra_system)

Ax'iĀ·om noun [ Latin axioma , Greek ... that which is thought worthy, that which is assumed, a basis of demonstration, a principle, from ... to think worthy, from ... worthy, weighing as much as; confer ... to lead, drive, also to weigh so much: cf French axiome

Found on http://www.encyclo.co.uk/webster/A/155

1. <logic> 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. An established principle in...

Found on http://www.encyclo.co.uk/local/20973

a proposition that is not proved or demonstrated but considered to be self-evident and taken for granted.

Found on http://www.philosophybasics.com/general_glossary.html

a proposition that is not susceptible of proof or disproof

Found on https://www.vocabulary.com/lists/51562

A statement assumed to be true without the need for proof. See also: Deduction.

Found on http://www.diracdelta.co.uk/science/source/a/x/axiom/source.html

A statement that is assumed to be true and can later be used along with theorems to prove other theorems. Also, the starting configuration of an L-System.

Found on http://www.encyclo.co.uk/local/20090

A statement that is considered to be true without need of proof. The term 'axiom' comes from the Greek axios meaning 'worthy' and was used by many Greek philosophers and mathematicians, including Aristotle. Curiously, Euclid, whose axioms are best known of all, seems to have favored a more general p...

Found on http://www.daviddarling.info/encyclopedia/A/axiom.html

a statement that is true by definition or so obviously true that it needn't be proved. In logic, an assumption used as an unquestioned basis for a theory.

Found on http://www.philosophicalsociety.com/glossary.htm

axiom 1. A self-evident or universally recognized truth; a maxim; a saying which is widely accepted on its own merits. 2. An established rule, a principle, or a law. 3. A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate. 4. A basic proposition of a system that, although unproven, is used...

Found on http://www.wordinfo.info/words/index/info/view_unit/268/

axiom, in mathematics and logic, general statement accepted without proof as the basis for logically deducing other statements (theorems). Examples of axioms used widely in mathematics are those related to equality (e.g., “Two things equal to the same thing are equal to each other”; R...

Found on http://www.infoplease.com/ce6/sci/A0805499.html

in logic, an indemonstrable first principle, rule, or maxim, that has found general acceptance or is thought worthy of common acceptance whether by ... [18 related articles]

Found on http://www.britannica.com/eb/a-z/a/132

In mathematics, a statement that is assumed to be true and upon which theorems are proved by using logical deduction; for example, two straight lines cannot enclose a space. The Greek mathematician Euclid used a series of axioms that he considered could not be demonstrated in terms of simpler concepts to prove his geometrical theorems

Found on http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0026006.html

See Mathematics.

Found on http://www.ditext.com/runes/a.html

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