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: Axiomm
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)
“Our argument ... will result, not upon logic by itselfthough without logic we should never have got to this pointbut upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other mans position, are extremely rare.”
—Richard M. Hare (b. 1919)