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:
“It is by a mathematical point only that we are wise, as the sailor or the fugitive slave keeps the polestar in his eye; but that is sufficient guidance for all our life. We may not arrive at our port within a calculable period, but we would preserve the true course.”
—Henry David Thoreau (1817–1862)
“Logic is not a body of doctrine, but a mirror-image of the world. Logic is transcendental.”
—Ludwig Wittgenstein (1889–1951)