O'Reilly logo

The Search for Mathematical Roots, 1870-1940 by I. Grattan-Guinness

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

CHAPTER 4

Parallel Processes in set Theory, Logics and Axiomatics, 1870s-1900s

4.1 PLANS FOR THE CHAPTER

In this chapter are collected six concurrent developments of great importance which, with one exception, ran alongside mathematical logic rather than within it. It is largely a German story, with some important American ingredients; among the main general sources is the reviewing Jahrbuch uber die Fortschritte der Mathematik. Set theory is the main common thread, and §4.2 deals with the growth of interest in it, both as Cantorian Mengenlehre, and more generally.

Next, §4.3 describes the contributions to algebraic logic made by C.S. Peirce and some followers at Johns Hopkins University. The union of Boole’s algebra with De Morgan’s logic of ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required