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
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Famous quotes containing the words logic and, logic and/or mathematics:
“Though living is a dreadful thing
And a dreadful thing is it
Life the niggard will not thank,
She will not teach who will not sing,
And what serves, on the final bank,
Our logic and our wit?”
—Philip Larkin (19221986)
“Logic is not a body of doctrine, but a mirror-image of the world. Logic is transcendental.”
—Ludwig Wittgenstein (18891951)
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)
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