Abstract

This book states, illustrates, and evaluates the main points of Russell's Introduction to Mathematical Philosophy. This book also contains a thorough exposition of the fundamentals of set theory, including Cantor's groundbreaking investigations into the theory of transfinite numbers. Topics covered include: *Cardinal number (Frege's analysis) *Cardinal number (von Neumann's analysis) *Ordinal number *Isomorphism *Mathematical induction *Limits and continuity *The arithmetic of transfinites *Set-theoretic definitions of "point" and "instant" *An analysis of cardinal n, for arbitrary n, that, unlike the analyses put forth by Russell and von *Neumann, is not merely adequate but de rigueur. *Cogent analyses of hitherto unsolved paradoxes of set-theory and logic, e.g. the Liar Paradox and Russell's Paradox.