ABSTRACT

Logicism, as put forward by Bertrand Russell, was predicated on a belief that all of mathematics can be deduced from a very small number of fundamental logical principles. In Logicism Renewed, the author revisits this concept in light of advances in mathematical logic and the need for languages that can be understood by both humans and computers th

chapter 1|42 pages

Elementary Logic

chapter 2|28 pages

Type Theory

chapter 3|28 pages

An Intensional Type Theory

chapter 4|38 pages

Recursions

chapter 5|14 pages

Choice and Function Term s

chapter 6|20 pages

Intuitionist Lo g ic

chapter 7|14 pages

Logic and M athematics

chapter 8|30 pages

Logic and Computer Science