Summary — Preface & Dedication (1897)

Primary Text: Read Verbatim Treatise Track (pp. v–vi) · Commentary: Critical Notes

Executive Summary

Written at Haslemere in May 1897 and dedicated to Cambridge idealist John McTaggart Ellis McTaggart, the Preface to An Essay on the Foundations of Geometry introduces Bertrand Russell’s revised 1895 Trinity College Fellowship dissertation. Russell credits Felix Klein’s lectures on non-Euclidean geometry for the three-period historical framework of Chapter I, F. H. Bradley, Sigwart, and Bosanquet in logic, and A. N. Whitehead for awakening him to the decisive philosophical primacy of projective geometry.

Argumentative Architecture

flowchart LR
            A["1895 Trinity Fellowship Dissertation"] --> B["Klein: Three Periods of Metageometry"]
            A --> C["Bradley & McTaggart: Epistemological Logic"]
            A --> D["Whitehead: Philosophical Primacy of Projective Geometry"]
        

Key Arguments & Theses

Synthesis of Klein’s Mathematics and Post-Kantian Epistemology

Russell bridges Continental differential/projective geometry—hitherto largely ignored by British philosophers—with critical epistemology.

Whitehead’s Catalyst

Whitehead’s insight that projective geometry captures the qualitative structure common to Euclidean and non-Euclidean spaces becomes the linchpin of Chapter III, Section A.