Logic and Mathematics
- Formal logic, logical argument based on form
- Formal cause, Aristotle's intrinsic, determining cause
- Formal power series, a generalization of power series without requiring convergence, used in combinatorics
- Formal calculation, a calculation which is systematic, but without a rigorous justification
- Formal set theory, as opposed to Naive set theory
- Formal derivative, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus
Read more about this topic: Formal
Famous quotes containing the words logic and, logic and/or mathematics:
“What avail all your scholarly accomplishments and learning, compared with wisdom and manhood? To omit his other behavior, see what a work this comparatively unread and unlettered man wrote within six weeks. Where is our professor of belles-lettres, or of logic and rhetoric, who can write so well?”
—Henry David Thoreau (1817–1862)
“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 (1803–1882)
“It is a monstrous thing to force a child to learn Latin or Greek or mathematics on the ground that they are an indispensable gymnastic for the mental powers. It would be monstrous even if it were true.”
—George Bernard Shaw (1856–1950)