ABSTRACT

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

chapter |29 pages

Introduction

chapter III|28 pages

Russell's Logic and Some General Issues

chapter IV|35 pages

Logical Truth

chapter V|15 pages

Metalogic

chapter VI|43 pages

The Concept of Set

chapter VII|27 pages

Theory and Practice in Mathematics

chapter VIII|29 pages

Necessity, Analyticity, and Apriority

chapter IX|18 pages

Mathematics and Computers

chapter X|31 pages

Minds and Machines

chapter XI|33 pages

Notes on Knowledge and Life

chapter XII|36 pages

Themes and Approaches