Critical Notes — Chapter XLIV: Dimensions and Complex Numbers (§§ 351–360)

Primary Text: Read Verbatim Treatise Track (pp. 371–380) · Overview: Analytical Summary · Cross-Corpus Loci: Master Concordance

Historical & Cross-Corpus Commentary

Contrast with 1897 EFG §§18–19 & §94

In 1897 Ch. II §94, Russell used orders of infinity ($\infty^2$) informally against Lotze; by 1903 (§355), having mastered Cantor’s proof that $(2^{\alpha_0})^2 = 2^{\alpha_0}$, he relocates dimensionality strictly in the ordinal structure of generating relations.