The Origin of the Logic of Symbolic Mathematics

The Origin of the Logic of Symbolic Mathematics
Author: Burt C. Hopkins
Publisher: Indiana University Press
Total Pages: 593
Release: 2011-09-07
Genre: Philosophy
ISBN: 0253005272

Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge.

Greek Mathematical Thought and the Origin of Algebra

Greek Mathematical Thought and the Origin of Algebra
Author: Jacob Klein
Publisher: Courier Corporation
Total Pages: 246
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486319814

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

An Introduction to Symbolic Logic

An Introduction to Symbolic Logic
Author: Langer
Publisher: Courier Corporation
Total Pages: 390
Release: 1967-01-01
Genre: Mathematics
ISBN: 9780486601649

Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.

Introduction to Symbolic Logic and Its Applications

Introduction to Symbolic Logic and Its Applications
Author: Rudolf Carnap
Publisher: Courier Corporation
Total Pages: 280
Release: 2012-07-12
Genre: Mathematics
ISBN: 048614349X

Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.

Principia Mathematica

Principia Mathematica
Author: Alfred North Whitehead
Publisher:
Total Pages: 688
Release: 1910
Genre: Logic, Symbolic and mathematical
ISBN:

Louis Couturat: The History of Modern Symbolic Logic and Other French Manuscripts

Louis Couturat: The History of Modern Symbolic Logic and Other French Manuscripts
Author: Oliver Schlaudt
Publisher: Springer Nature
Total Pages: 386
Release: 2021-09-16
Genre: Mathematics
ISBN: 3030848280

This volume features a critical edition of the recently rediscovered manuscripts written by the French philosopher Louis Couturat (1868-1914). It includes the transcriptions of three of his believed to be lost manuscripts: first the “Cours de Caen: 1898-99” on various systems of symbolic logic, second his lecture at the Collège de France “Histoire de la logique formelle moderne", and third his textbook on mathematical logic. The manuscripts document the early reception of mathematical logic in France and provide insights into the first introduction of the French reader to the work of Gottlob Frege and Bertrand Russell. It is the aim of the editors of this volume to contribute to the history of symbolic logic, particularly the history of its dissemination and its teaching in France. At the same time, the volume contributes to an alternative history and conception of philosophy in which semiotics and concrete mathematical practice stand in focus. The book is interesting for students and researchers in the history of philosophy, mathematics, and logic.