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Axioms

Axiom

1. (Science: 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 some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.

Synonym: axiom, Maxim, Aphorism, Adage.

An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application.

Origin: L. Axioma, gr. That which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr. To think worthy, fr. Worthy, weighing as much as; cf. To lead, drive, also to weigh so much: cf f. Axiome. See agent.


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Learning.

... enumerable. Breve introducción a las máquinas de Turing. Secciones 5.2.2 y 5.4.1. (Formalization of arithmetic, Godel's theorems) Peano's axioms. Section 6.1. Representable functions. Section 6.2. Arithmetization of syntax. Godel numbering. Section 6.3. Godel's first incompleteness theorem. ...

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by GegnianMD
Sat Dec 29, 2007 4:25 pm
 
Forum: Human Biology
Topic: Mathematical Medicine.
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Views: 981

The Fiber Disease

... of the growth in time of sea shells. Computer simulations have shown that the imposition to sea shell growth of conventional geometric axioms (e.g., those of the Euclidean or Riemannian geometries) causes the lack of proper growth, as expected, because said geometries are strictly reversible, ...

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by Nadas Moksha
Mon Sep 11, 2006 3:47 am
 
Forum: Human Biology
Topic: The Fiber Disease
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Views: 748667

Origin of life

... thousands of other mathematicians will eagerly attempt to prove him right or wrong by hard evidence, all proof ultimately reducible to accepted axioms. Conclusions of evolutionary research bear no similarity to this kind of science. They are based on assumptions, unwarranted extrapolations, ...

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by mith
Mon Jan 16, 2006 8:01 pm
 
Forum: Evolution
Topic: Origin of life
Replies: 236
Views: 23857

Origin of life

... thousands of other mathematicians will eagerly attempt to prove him right or wrong by hard evidence, all proof ultimately reducible to accepted axioms. Conclusions of evolutionary research bear no similarity to this kind of science. They are based on assumptions, unwarranted extrapolations, ...

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by Springer
Mon Jan 16, 2006 6:42 pm
 
Forum: Evolution
Topic: Origin of life
Replies: 236
Views: 23857


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