independent axiom

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noun Logic, Mathematics.

in a set of axioms, one that cannot be proved by using the others in the set.

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Origin of independent axiom

First recorded in 1900–05

The Independent, quoted the duo as saying “we have some offers but we cannot say anything at the moment.”
Juiciest ‘Star Wars: The Force Awakens’ Rumors (and Some Debunked Ones)|Rich Goldstein|January 3, 2015|DAILY BEAST
The issue polls well among Democratic, Republican, and independent voters.
Christie Blames Parents for Bad Economy|Monica Potts|January 3, 2015|DAILY BEAST
For the last nine years, they have battled secular Baluch nationalists who would like to see an independent Baluchistan.
The Dangerous Drug-Funded Secret War Between Iran and Pakistan|Umar Farooq|December 29, 2014|DAILY BEAST
I am reminded of the story of Senator Bernie Sanders (Independent, VT) walking along the shores of Lake Champlain.
Santa Fails One More Time|P. J. O’Rourke|December 27, 2014|DAILY BEAST

This is a job for independent committees, like Bowles-Simpson, not a partisan slugfest.
Red Tape Is Strangling Good Samaritans|Philip K. Howard|December 27, 2014|DAILY BEAST
So far Murat had always held subordinate commands; his great ambition was to become the commander-in-chief of an independent army.
Napoleon's Marshals|R. P. Dunn-Pattison
In a strict sense, of course, no child's drawing is absolutely spontaneous and independent of external stimulus and guidance.
Children's Ways|James Sully
Many persons impede their execution by not keeping the thumb independent enough of the rest of the hand.
Music-Study in Germany|Amy Fay
While the majority pulled in one way there was an active minority that wished the Nana to set up an independent kingdom.
The Red Year|Louis Tracy
Divine Providence is about to place independence within our reach, in a manner most acceptable to a free and independent people.
The Philippine Islands|John Foreman