Published online by Cambridge University Press: 25 July 2022
1 We adopt the following method of transliterating Russian: A as A, B as B, B as V, Γ as G, Д as D, E as É, Ж as Ž, З as Z, И as I, Й as J, I as I, κ as K, IJ as L, M as M, H as N, O as O, ∐ as P, P as R, C as S, T as T, y as U, Φ as F, X as H, Ц as C, Ч as Č, Ш as Š, Щ as ŠČ, Ъ omitted in transliteration, Ы as Y, Ь as ′, Ђ as Ĕ, ∋ as E, Ю as Ú, Я as Á, θ as F.
2 This book, which is not otherwise within the field of the bibliography, is included because of the appearance on pp. 107-113 of the line of thought which afterwards led to the Richard paradox (1351).
3 With the clarification of Zermelo's notion of a definite Eigenschaft and its consequent elimination as a presupposed intuitive idea, the Zermelo set theory may be said first to have attained a degree of exactness comparable to that of the system of Principia mathematica (11116, 1941). A method of doing this is indicated briefly by Fraenkel in 2692, is incorporated in a system of axioms for set theory in 2694, and later applied to the actual development of some topics in set theory ' n 26922. An alternative method is due to Skolem 2475, 10. And see also J. v. Neumann 2992, 5.