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Herbert Bruce Enderton (April 15, 1936 – October 20, 2010) [1] was an American mathematician. He was a Professor Emeritus of Mathematics at UCLA and a former member of the faculties of Mathematics and of Logic and the Methodology of Science at the University of California, Berkeley .
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
Lightstone was the author or co-author of several books on mathematics: The Axiomatic Method: An Introduction to Mathematical Logic (Prentice Hall, 1964). This introductory textbook is divided into two parts, one providing an informal introduction to Boolean logic and the second using formal methods to prove the consistency and completeness of the predicate calculus. [10]
Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]
In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in PA that "if P is provable in PA then P is true", then P is provable in PA.
Elliott Mendelson (2005). Book Review: Igor Lavrov, Larisa Maksimova, Problems in Set Theory, Mathematical Logic and the Theory of Algorithms, Edited by Giovanna Corsi, Kluwer Academic / Plenum Publishers, 2003, Us$141.00, Pp. XII + 282, ISBN 0-306-47712-2, Hardbound. Studia Logica 79 (3). Elliott Mendelson (2000). Critical Studies/Book Reviews.
It is to be regretted that this first comprehensive and thorough-going presentation of a mathematical logic and the derivation of mathematics from it [is] so greatly lacking in formal precision in the foundations (contained in 1– 21 of Principia [i.e., sections 1– 5 (propositional logic), 8–14 (predicate logic with identity/equality), 20 ...
A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]