Mathematical Logic
In the field of mathematical logic, a clear distinction is made between two notions of axioms: logical and non-logical (somewhat similar to the ancient distinction between "axioms" and "postulates" respectively).
Read more about this topic: Axiom
Famous quotes containing the words mathematical and/or logic:
“An accurate charting of the American womans progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of timebut like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.”
—Susan Faludi (20th century)
“We want in every man a long logic; we cannot pardon the absence of it, but it must not be spoken. Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as propositions and have a separate value, it is worthless.”
—Ralph Waldo Emerson (18031882)