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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Other articles related to "logic and mathematics, mathematics, logic":
Verifiability, Not Truth - Meaning of "truth" in Different Subject Areas - Logic and Mathematics
... The field of mathematics is strongly based in logic most, but not all, math operations provide statements whose truth, falsehood, or unknowability is beyond dispute ...
... The field of mathematics is strongly based in logic most, but not all, math operations provide statements whose truth, falsehood, or unknowability is beyond dispute ...
Paraconsistent Logic - Applications
... Paraconsistent logic has been applied as a means of managing inconsistency in numerous domains, including Semantics ... Paraconsistent logic has been proposed as means of providing a simple and intuitive formal account of truth that does not fall prey to paradoxes such as the Liar ... Set theory and the foundations of mathematics (see paraconsistent mathematics) ...
... Paraconsistent logic has been applied as a means of managing inconsistency in numerous domains, including Semantics ... Paraconsistent logic has been proposed as means of providing a simple and intuitive formal account of truth that does not fall prey to paradoxes such as the Liar ... Set theory and the foundations of mathematics (see paraconsistent mathematics) ...
Reduction To Absurdity: Reductio Ad Absurdum in Polemics, Logic and Mathematics
... reducing to an absurdity, is a method of proof in logic and mathematics, whereby assuming that a proposition is true leads to absurdity a proposition is ...
... reducing to an absurdity, is a method of proof in logic and mathematics, whereby assuming that a proposition is true leads to absurdity a proposition is ...
Paraconsistent Logic - Notable Figures
... modern development of paraconsistent logic include Alan Ross Anderson (USA, 1925–1973) ... One of the founders of relevance logic, a kind of paraconsistent logic ... Worked with Anderson on relevance logic ...
... modern development of paraconsistent logic include Alan Ross Anderson (USA, 1925–1973) ... One of the founders of relevance logic, a kind of paraconsistent logic ... Worked with Anderson on relevance logic ...
Mutually Exclusive Events - Logic
... In logic, two mutually exclusive propositions are propositions that logically cannot be true at the same time ...
... In logic, two mutually exclusive propositions are propositions that logically cannot be true at the same time ...
Famous quotes containing the words mathematics and/or logic:
“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)
“Histories make men wise; poets witty; the mathematics subtle; natural philosophy deep; moral grave; logic and rhetoric able to contend.”
—Francis Bacon (1561–1626)
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