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Origin of axiom
Words nearby axiom
Example sentences from the Web for axiom
With an ATP, a programmer can code in all the rules, or axioms, and then ask if a particular conjecture follows those rules.How Close Are Computers to Automating Mathematical Reasoning?|Stephen Ornes|August 27, 2020|Quanta Magazine
Gödel’s main maneuver was to map statements about a system of axioms onto statements within the system — that is, onto statements about numbers.
It would mean that there exists a sequence of formulas built from these axioms that proves the formula that means, metamathematically, “This set of axioms is consistent.”
By the first theorem, this set of axioms would then necessarily be incomplete.
He also showed that no candidate set of axioms can ever prove its own consistency.
Whether or not Hippocrates ever actually said “First, do no harm,” the axiom is central to medical ethics.
Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as much as it is a gift to oneself.Bishop T.D. Jakes on His New Book and Whitney Houston’s Death|Allison Samuels|March 10, 2012|DAILY BEAST
All special Churches have varied, and have therefore erred; but it is my first axiom that that book has never erred.Is Life Worth Living?|William Hurrell Mallock
Endurance, to excite commiseration, must be uncomplaining—an axiom the aggrieved of the gentle sex should remember.Rookwood|William Harrison Ainsworth
Anyone who tries to prove an axiom, loses himself in absurdity; therefore, we should not attempt to prove the existence of God.Zones of the Spirit|August Strindberg
In this we apply the axiom of Deductive Reasoning: "Whatever is true of the whole is true of the parts."The Art of Logical Thinking|William Walker Atkinson
But no axiom can be plainer than that if two lines continually approach each other they must at length meet.Fables of Infidelity and Facts of Faith|Robert Patterson
British Dictionary definitions for axiom
Word Origin for axiom
Scientific definitions for axiom
Cultural definitions for axiom
In mathematics, a statement that is unproved but accepted as a basis for other statements, usually because it seems so obvious.