Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
- noun A self-evident or universally recognized truth; a maxim.
- noun An established rule, principle, or law.
- noun A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate.
from The Century Dictionary.
- noun one of those generalizations of ordinary experience which nobody doubts, and which are soon replaced by scientific formulations, which latter are also, but less properly, termed middle axioms.
- noun A self-evident, undemonstrable, theoretical, and general proposition to which every one who apprehends its meaning must assent.
- noun Any higher proposition, obtained by generalization and induction from the observation of individual instances; the enunciation of a general fact; an empirical law.
- noun In logic, a proposition, whether true or false: a use of the term which originated with Zeno the Stoic.
from the GNU version of the Collaborative International Dictionary of English.
- noun (Logic & Math.) 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.”
- noun An established principle in some art or science, which, though not a necessary truth, is universally received.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun philosophy A seemingly
self-evident or necessarytruth which is based onassumption ; aprinciple orproposition which cannot actually be proved or disproved. - noun mathematics, logic A fundamental
theorem that serves as a basis fordeduction of other theorems. Examples: "Through a pair of distinct points there passes exactly one straight line", "All right angles are congruent". - noun An established
principle in some artistic practice or science that is universally received.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- noun (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
- noun a saying that is widely accepted on its own merits
Etymologies
from The American Heritage® Dictionary of the English Language, 4th Edition
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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Use of the term axiom reinforces that our computational model is a mathematical, formal system and that analogue execution is a form of deduction from the axioms or assumptions explicitly programmed into the model.
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Although he lacks the historical context to articulate Kant's Categorical Moral Imperative, he describes a Supreme Being for whom something akin to this axiom is the ultimate measure of a man, a God who believes that one's ethical duty is to acquire and exercise wisdom, to evaluate and constantly re-evaluate one's beliefs -- including what one's ethical duty is -- by applying the utmost objectivity to one's own preconceptions and prejudices.
THE HALLS OF PENTHEUS -- PART TWO Hal Duncan 2007
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So if the math relates to a physics matter the "axiom" is tested.
Critical Thinking 2007
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It seems the operating axiom is the old "When all else fails, do what's right."
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That simple axiom is a radical critique of an age in which ideological lines are hardening and real dialogue diminishing in the public arena.
2008 Election 2009
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That simple axiom is a radical critique of an age in which ideological lines are hardening and real dialogue diminishing in the public arena.
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That simple axiom is a radical critique of an age in which ideological lines are hardening and real dialogue diminishing in the public arena.
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That axiom is also true in fantasy baseball, where managing a pitching staff down the stretch is often the key to winning a championship because major league teams often don't have the same agendas for their pitchers as fantasy owners do.
Keep eye on starters' workloads heading down the stretch 2008
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That simple axiom is a radical critique of an age in which ideological lines are hardening and real dialogue diminishing in the public arena.
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No, the axiom is concerned with the morality of genocide.
Carry-Over Thread 2007
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