Ernst Schröder on Algebra and Logic

ISBN-13: 9783031056734 / Angielski / Miękka / 2023

Opis

This volume offers English translations of three early works by Ernst Schröder (1841-1902), a mathematician and logician whose philosophical ruminations and pathbreaking contributions to algebraic logic attracted the admiration and ire of figures such as Dedekind, Frege, Husserl, and C. S. Peirce. Today he still engages the sympathetic interest of logicians and philosophers. The works translated record Schröder’s journey out of algebra into algebraic logic and document his transformation of George Boole’s opaque and unwieldy logical calculus into what we now recognize as Boolean algebra. Readers interested in algebraic logic and abstract algebra can look forward to a tour of the early history of those fields with a guide who was exceptionally thorough, unfailingly honest, and deeply reflective.

Spis treści

Preface

1) Introduction 

2) Ernst Schröder's "Lehrbuch der Arithmetik und Algebra für Lehrer und Studirende" (1873); 

3) Ernst Schröder's booklet "Der Operationskreis des Logikkalkuls (1877); 

4) Ernst Schröder “Note über den Operationskreis des Logikcalculs” (1877). 

Bibliography 

Name/Subject Index 

O autorze

Stephen Pollard has been on the faculty of Truman State University since 1985. He received his B.A. from Haverford College in 1979 and his Ph.D. from the University of Texas in 1983. His research and publications deal primarily with logic and the philosophy of mathematics, but his interests also include classical Greek philosophy, American pragmatism, and the philosophy of science. Pollard is the author of Philosophical Introduction to Set Theory (Notre Dame, 1990), co-translator of The Continuum by Herman Weyl (Dover, 1994), co-author of Closure Spaces and Logic (Kluwer, 1996), translator/editor of Essays on the Foundations of Mathematics by Moritz Pasch (Springer, 2010), and author of A Mathematical Prelude to the Philosophy of Mathematics (Springer, 2014). His papers have appeared in Analysis, Erkenntnis, Logique et Analyse, The Monist, Notre Dame Journal of Formal Logic, Noûs, Philosophical Studies, Philosophia Mathematica, Synthese and other journals