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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 .
forall x: an introduction to formal logic, a free textbook by P. D. Magnus. A Problem Course in Mathematical Logic, a free textbook by Stefan Bilaniuk. Detlovs, Vilnis, and Podnieks, Karlis (University of Latvia), Introduction to Mathematical Logic. (hyper-textbook). In the Stanford Encyclopedia of Philosophy: Classical Logic by Stewart Shapiro.
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 ...
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof (2nd ed.). Kluwer Academic Publishers. Boolos, George (1984). "To Be Is To Be a Value of a Variable (or to Be Some Values of Some Variables)". Journal of Philosophy. 81 (8): 430– 50. doi:10.2307/2026308. JSTOR 2026308.. Reprinted in Boolos, Logic, Logic and Logic, 1998.
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Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole.
Alice van Kleek Enderton was born in West Point, New York, on June 24, 1933.Her father, Herbert Enderton, was a Colonel in the U.S. Army.In 1950, the family lived in Quito, Ecuador, where Enderton served as military attaché to the U.S. embassy. [1]
Computability logic (CoL) is a research program and mathematical framework for redeveloping logic as a systematic formal theory of computability, as opposed to classical logic, which is a formal theory of truth. It was introduced and so named by Giorgi Japaridze in 2003. [1] In classical logic, formulas represent true/false statements.