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 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.
- 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.
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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