Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Ernst Schröder on Algebra and Logic The Three Direct Operations

Ernst Schröder on Algebra and Logic : The Three Direct Operations [English translation of the second chapter of Ernst Schröder’s Lehrbuch der Arithmetik und Algebra für Lehrer und Studirende. Schröder discusses addition, multiplication, and exponentiation introducing each operation twice: providing, first, an exposition of the nature, purpose, and intuitive origins of the operation and, second, an axiomatic presentation that values rigor and economy of expression more than immediate intelligibility. He describes the latter approach as “recursive” and, indeed, offers the now-familiar recursive definitions of the operations.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Ernst Schröder on Algebra and Logic The Three Direct Operations

Part of the Synthese Library Book Series (volume 465)
Editors: Pollard, Stephen
Pollard, Stephen
Ernst Schröder on Algebra and Logic — Apr 24, 2022
Download PDF
58 pages

Loading next page...
 
/lp/springer-journals/ernst-schro-der-on-algebra-and-logic-the-three-direct-operations-nEdboHmHWh
Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-031-05670-3
Pages
47 –105
DOI
10.1007/978-3-031-05671-0_2
Publisher site
See Chapter on Publisher Site

Abstract

[English translation of the second chapter of Ernst Schröder’s Lehrbuch der Arithmetik und Algebra für Lehrer und Studirende. Schröder discusses addition, multiplication, and exponentiation introducing each operation twice: providing, first, an exposition of the nature, purpose, and intuitive origins of the operation and, second, an axiomatic presentation that values rigor and economy of expression more than immediate intelligibility. He describes the latter approach as “recursive” and, indeed, offers the now-familiar recursive definitions of the operations.]

Published: Apr 24, 2022

There are no references for this article.