The Basic Laws of Arithmetic
Author | : Gottlob Frege |
Publisher | : Univ of California Press |
Total Pages | : 208 |
Release | : 1967 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
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Author | : Gottlob Frege |
Publisher | : Univ of California Press |
Total Pages | : 208 |
Release | : 1967 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Author | : Gottlob Frege |
Publisher | : |
Total Pages | : 683 |
Release | : 2013-10 |
Genre | : Mathematics |
ISBN | : 0199281742 |
This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
Author | : Philip A. Ebert |
Publisher | : |
Total Pages | : 686 |
Release | : 2019-09-05 |
Genre | : |
ISBN | : 0198712081 |
This volume is the first collective study of a foundational text in modern philosophy and logic, Gottlob Frege's Basic Laws of Arithmetic which appeared in two volumes in 1893 and 1903. Twenty-two Frege scholars discuss a wide range of philosophical and logical topics arising from Basic Lawsof Arithmetic, and demonstrate the technical and philosophical richness of the work. Their original contributions make vivid the importance of this magnum opus not just for Frege scholars but for the study of the history of logic, mathematics, and philosophy.
Author | : Gottlob Frege |
Publisher | : Univ of California Press |
Total Pages | : 208 |
Release | : 2023-11-15 |
Genre | : Mathematics |
ISBN | : 0520312368 |
This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.
Author | : Richard G. Heck |
Publisher | : Oxford University Press, USA |
Total Pages | : 315 |
Release | : 2012-11-29 |
Genre | : Mathematics |
ISBN | : 0199233705 |
Readership: Scholars and advanced students of philosophy of logic, philosophy of mathematics, and history of analytic philosophy
Author | : Gottlob Frege |
Publisher | : |
Total Pages | : 0 |
Release | : 1964 |
Genre | : |
ISBN | : |
Author | : Alfred North Whitehead |
Publisher | : |
Total Pages | : 688 |
Release | : 1910 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |
Author | : Gottlob Frege |
Publisher | : |
Total Pages | : 0 |
Release | : 2013 |
Genre | : Arithmetic |
ISBN | : |
The first complete English translation of a groundbreaking work. An ambitious account of the relation of mathematics to logic. Includes a foreword by Crispin Wright, translators' Introduction, and an appendix on Frege's logic by Roy T. Cook. The German philosopher and mathematician Gottlob Frege (1848-1925) was the father of analytic philosophy and to all intents and purposes the inventor of modern logic. Basic Laws of Arithmetic, originally published in German in two volumes (1893, 1903), is Freges magnum opus. It was to be the pinnacle of Freges lifes work. It represents the final stage of his logicist project the idea that arithmetic and analysis are reducible to logic and contains his mature philosophy of mathematics and logic. The aim of Basic Laws of Arithmetic is to demonstrate the logical nature of mathematical theorems by providing gapless proofs in Frege's formal system using only basic laws of logic, logical inference, and explicit definitions. The work contains a philosophical foreword, an introduction to Frege's logic, a derivation of arithmetic from this logic, a critique of contemporary approaches to the real numbers, and the beginnings of a logicist treatment of real analysis. As is well-known, a letter received from Bertrand Russell shortly before the publication of the second volume made Frege realise that his basic law V, governing the identity of value-ranges, leads into inconsistency. Frege discusses a revision to basic law V written in response to Russells letter in an afterword to volume II. The continuing importance of Basic Laws of Arithmetic lies not only in its bearing on issues in the foundations of mathematics and logic but in its model of philosophical inquiry. Frege's ability to locate the essential questions, his integration of logical and philosophical analysis, and his rigorous approach to criticism and argument in general are vividly in evidence in this, his most ambitious work. Philip Ebert and Marcus Rossberg present the first full English translation of both volumes of Freges major work preserving the original formalism and pagination. The edition contains a foreword by Crispin Wright and an extensive appendix providing an introduction to Frege's formal system by Roy T. Cook. Readership: Scholars and advanced students in philosophy of logic, philosophy of mathematics, and early analytic philosophy.
Author | : Ken Levasseur |
Publisher | : Lulu.com |
Total Pages | : 574 |
Release | : 2012-02-25 |
Genre | : Applied mathematics |
ISBN | : 1105559297 |
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
Author | : Gottlob Frege |
Publisher | : |
Total Pages | : |
Release | : |
Genre | : Logic, Symbolic and mathematical |
ISBN | : |