Noun

(order of senses) (en-noun)

The state or quality of being true to someone or something.

(label) Faithfulness, fidelity.

* (Samuel Taylor Coleridge) (1772-1834)

Alas! they had been friends in youth, / But whispering tongues can poison truth .

(label) A pledge of loyalty or faith.

True facts, genuine depiction or statements of reality.

* (Samuel Taylor Coleridge) (1772-1834)

The truth depends on, or is only arrived at by, a legitimate deduction from all the facts which are truly material.

*{{quote-magazine, date=2014-06-21, volume=411, issue=8892, magazine=(The Economist)

, title= Magician’s brain , passage=The truth is that [Isaac] Newton was very much a product of his time. The colossus of science was not the first king of reason, Keynes wrote after reading Newton’s unpublished manuscripts. Instead “he was the last of the magicians”.}}

Conformity to fact or reality; correctness, accuracy.

* {{quote-magazine, date=2012-01, author=Robert M. Pringle, volume=100, issue=1, page=31, magazine=(American Scientist), title= How to Be Manipulative

, passage=As in much of biology, the most satisfying truths in ecology derive from manipulative experimentation. Tinker with nature and quantify how it responds.}}

Conformity to rule; exactness; close correspondence with an example, mood, model, etc.

* John Mortimer (1656?-1736)

Ploughs, to go true, depend much on the truth of the ironwork.

That which is real, in a deeper sense; spiritual or ‘genuine’ reality.

* 1820 , (John Keats), (Ode on a Grecian Urn)

Beauty is truth', ' truth beauty, - that is all / Ye know on earth, and all ye need to know.

(label) Something acknowledged to be true; a true statement or axiom.

* 1813 , (Jane Austen), (Pride and Prejudice)

It is a truth universally acknowledged, that a single man in possession of a good fortune, must be in want of a wife.

Topness. (See also truth quark.)

Noun

(en-noun)

A starting point, base or foundation for an argument or hypothesis.

An underlying condition or circumstance.

* 2013 , Daniel Taylor, Danny Welbeck leads England's rout of Moldova but hit by Ukraine ban'' (in ''The Guardian , 6 September 2013)[http://www.theguardian.com/football/2013/sep/06/england-moldova-world-cup-qualifier-matchreport]

Hodgson may now have to bring in James Milner on the left and, on that basis , a certain amount of gloss was taken off a night on which Welbeck scored twice but barely celebrated either before leaving the pitch angrily complaining to the Slovakian referee.

regular frequency

You should brush your teeth on a daily basis at minimum.

The flights to Fiji leave on a weekly basis .

Cars must be checked on a yearly basis .

(linear algebra) In a vector space, a linearly independent set of vectors spanning the whole vector space.

(accounting) Amount paid for an investment, including commissions and other expenses.

(topology) A collection of subsets ("basis elements") of a set, such that this collection covers the set, and for any two basis elements which both contain an element of the set, there is a third basis element contained in the intersection of the first two, which also contains that element.