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axiom

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axiom

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.



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And if there are some who think that a prince who conveys an impression of his wisdom is not so through his own ability, but through the good advisers that he has around him, beyond doubt they are deceived, because this is an axiom which never fails: that a prince who is not wise himself will never take good advice, unless by chance he has yielded his affairs entirely to one person who happens to be a very prudent man.
It is a military axiom not to advance uphill against the enemy, nor to oppose him when he comes downhill.
All this very plausible reasoning does not convince me, as it has not convinced the wisest of our Statesmen, that our ancestors erred in laying it down as an axiom of policy that the toleration of Irregularity is incompatible with the safety of the State.
 
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