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 5

Peano: the Formulary of Mathematics

5.1 PREFACES

5.1.1 Plan of the chapter. Giuseppe Peano was an important contributor to mathematical analysis and a principal founder of mathematical logic, as well as the leader of a school of followers in Italy. Our concern here is with their work until around 1900, when Russell met Peano; their later contributions will be noted in subsequent chapters.

The account focuses upon logic and the foundations of arithmetic and analysis, including set theory. Peano’s own writings are the main concern; they seem to have gained the main reaction at the time, not only with Russell. §5.2 traces his initial contributions to mathematical analysis and acquaintance with logic between 1884 and 1890. Then §5.3–4 surveys ...

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