@article{cantor1874, author = "Кантор", nameaddon = "(Cantor Georg)", title = "{{\"U}ber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahleh}", journal = "Journal f{\"u}r die reine und angewandte Mathematik", number = "77", pages = "258--262", year = "1874", addendum = "Перепечатана в Georg Cantor Gesammelte Abhandlungen, Berlin (Springer), 1932, p. 115--118.", keywords = {mainBibliography} } @article{cantor1895, author = "Кантор", nameaddon = "(Cantor Georg)", title = "{Beitr{\"a}ge zur Begr{\"u}ndung der transfiniten Mengenlehre}", journal = "Mathematische Annalen", number = "46", pages = "481--512", year = "1895", number = "49", pages = "207--246", year = "1897", addendum = "Перепечатана в Georg Cantor Gesammelte Abhandlungen, стр. 282--351. Английский перевод Журдэна (Ph. E. B. Jourdain) под заголовком Contributions to the founding of the theory of transfinite numbers, Chicago and London (Open Court), 1915, xi+211 p.", keywords = {mainBibliography} } @book{frege1884, author = "Фреге", nameaddon = "(Frege Gottlob)", title = "{Die Grundlagen der Arithmetik, eine logisch-mathematische Untersuchung {\"u}ber den Begriff der Zahl}", pagetotal = "XIX+119 p.", year = "1884", location = "Breslau", addendum = "Перепечатка: Breslau (M. \& H. Marcus) 1934. Английский перевод Остина (J. L. Austin) (с немецким оригиналом): The foundation of arithmetics. A logico-mathematical enquiry into concept of number. Oxford (Basil Blackwell) and New York (Philosophical Library) 1950, (XII+XI, 119)\texttimes 2 стр.", keywords = {mainBibliography} } % TODO: уточнить название @article{russel1902, author = "Рассел", nameaddon = "(Russell Bertrand) (Russel B. A. W.)", title = "{On finite and infinite cardinal numbers (\textsection~III, статьи Уайтхеда On cardinal numbers)}", journal = "Amer. journ. math.", number = "24", pages = "378--383", year = "1902", keywords = {mainBibliography} } @article{neumann1928, author = "Нейман", nameaddon = "(Neumann, John von)", title = "{Die Axiomatisierung der Mengenlehre}", journal = "Math. Zeit.", number = "27", pages = "669--752", year = "1928", keywords = {mainBibliography} } @article{bernstein1898, author = "Бернштейн", nameaddon = "(Bernstein Felix)", year = "1898", addendum = "См. Борель~\cite[стр. 104]{borel1898}", keywords = {mainBibliography} } @book{borel1898, author = "Борель", nameaddon = "(Borel {\'E}mile)", title = "{Le{\c{c}}ons sur la th{\'e}orie des fonctions}", location = "Paris", publisher = "Gauthier-Villars", year = "1898", keywords = {mainBibliography} } @book{dedekind1888, author = "Дедекинд", nameaddon = "(Dedekind Richard)", title = "{Was sind und was sollen die Zahlen?}", location = "Braunschweig", edition = "6-ое изд.", pubstate = "1930", year = "1888", addendum = "Также в Werke, vol. III, 335--391. Английский перевод Бимена (Beman), The nature and meaning of numbers, loc. cit., p. 31--105.", keywords = {mainBibliography} } @book{hausdorff1914, author = "Хаусдорф", nameaddon = "(Hausdorff Felix)", title = "{Grundz{\"u}ge der Mengenlehre}", location = "Leipzig", publisher = "Viet", year = "1914", pagetotal = "VIII+467 p.", keywords = {mainBibliography} } @book{hausdorff1927, author = "Хаусдорф", nameaddon = "(Hausdorff Felix)", title = "{Mengenlehre}", location = "Berlin und Leipzig", publisher = "Gruyter", year = "1927", edition = "второе переработанное издание~\cite{hausdorff1914} (в некоторых вопросах менее полное)", pagetotal = "285 p.", library = "G{\"o}schens Lehrb{\"u}cherei, I Gruppe Band 7", addendum = "3-е изд., 1935, 307 p. Перепечатка: New York (Dover Publications) 1944. \lbrack Русский перевод: {\sparseFnt Хаусдорф}, Теория множеств, ОНТИ, М.---Л., 1937, 304 стр.\rbrack", keywords = {mainBibliography} } @book{fraenkel1928, author = "Френкель", nameaddon = "(Fraenkel Adolf)", title = "{Einleitung in die Mengenlehre}", location = "Berlin", publisher = "Springer", year = "1928", edition = "3-е изд.", pagetotal = "XIII+424 p.", addendum = "Перепечатка: New York (Dover Publications) 1946", keywords = {mainBibliography} } @book{fraenkel1952, author = "Френкель", nameaddon = "(Fraenkel Adolf)", title = "{Abstract set theory}", series="Studies in logic and the foundations of mathematics", location = "Amsterdam", publisher = "North-Holland Pub. Co.", year = "1952", pagetotal = "XII+489 p.", addendum = "вышла в 1953 г.", keywords = {mainBibliography} } @article{zermelo1904, author = "Цермело", nameaddon = "(Zermelo Ernst)", title = "{Beweis, da{\ss} jede Menge wohlgeordnet werden kann}", journal = "Math. Ann.", number = "59", pages = "514--516", year = "1904", addendum = "См. также~\cite{zermelo1908a}", keywords = {mainBibliography} } % ibidem to journal = "Math. Ann." @article{zermelo1908a, author = "Цермело", nameaddon = "(Zermelo Ernst)", title = "{Neuer Beweis f{\"u}r die M{\"o}glichkeit einer Wohlordnung}", journal = "ibid.", number = "65", pages = "107--128", pubstate = "1908a", year = "1908a", keywords = {mainBibliography} } @article{goedel1947, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{What is Cantor's continuum problem?}", journal = "American mathematical monthly", number = "54", pages = "515-525", year = "1947", keywords = {mainBibliography} } @book{aleksandrov1948, author = "П. С. Александров", title = "{Введение в общую теорию функций}", publisher = "М.---Л.", pubstate = "1948", year = "1948", pagetotal = "441 стр.", keywords = {mainBibliography,addedByTranslator} } @book{peano1889, author = "Пеано", nameaddon = "(Peano Giuseppe)", title = "{Arithmetices principia, novo methodo exposita}", pagetotal = "XVI+20 p.", year = "1889", location = "Turin", publisher = "Bocca", keywords = {mainBibliography} } @article{peano1891, author = "Пеано", nameaddon = "(Peano Giuseppe)", title = "{Sul concetto di numero}", journal = "Rivista di matematica", number = "1", pages = "87-102, 256-267", year = "1891", addendum = "Пеано формулирует свои аксиомы для целых положительных чисел. (Многие авторы называют их <<натуральными числами>>.)", keywords = {mainBibliography,starred} } @article{hilbert1900, author = "Гильберт", nameaddon = "(Hilbert David)", title = "{{\:U}ber den Zahlbegriff}", journal = "Jahresbericht der Deutschen Mathematiker-Vereinigung", volume = "8", pages = "180-184", year = "1900", addendum = "Неполностью перепечатана в Grundlagen der Geometrie, 7-ое изд., Leipzig und Berlin (Teubner) 1930, p.241--246 (стр.315--321 русского перевода).", keywords = {mainBibliography} } @article{veblen1904, author = "Веблен", nameaddon = "(Veblen Oswald)", title = "{A system axiom for geometries}", journal = "Trans. Amer. Math. Soc.", number = "5", pages = "343-384", year = "1904", addendum = "См. Веблен и Басси~\cite{veblen_and_bussey1906}", keywords = {mainBibliography} } % TODO: разобраться с кернингом "and" @article{veblen_and_bussey1906, author = "Веблен~и~Басси", nameaddon = "(Veblen Oswald {\unsparseFnt and} Bussey W. H.)", title = "{Finite projective geometries}", journal = "Trans. Amer. Math. Soc.", number = "7", pages = "241-259", year = "1906", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{hilbert1899, author = "Гильберт", nameaddon = "(Hilbert David)", title = "{Grundlagen der Geometrie}", pagetotal = "vii+326 pp.", year = "1930", year = "1899", edition = "7-е изд.", location = "Leipzig und Berlin", publisher = "Teubner", addendum = "[Русский перевод: {\sparseFnt Гильберт Д.}, Основания геометрии, ОГИЗ, М.---Л., 1948, 491 стр.]", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{poincare1900, author = "Пуанкаре", nameaddon = "(Poincar{\'e} Henri)", title = "{Du role l'intuition et de la logique en math{\'e}matiques.Compte rendu du Deuxieme Congres International des Mathematiciens, denu a Paris du 6 au 12 aot 1900}", pages = "115-130", location = "Paris", publisher = "Gauthier-Villars", year = "1902", year = "1900", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{dedekind1872, author = "Дедекинд", nameaddon = "(Dedekind Richard)", title = "{Stetigkeit und irrationale Zahlen}", pagetotal = "vii+326 pp.", year = "1927", year = "1872", edition = "5-е изд.", location = "Braunschweig", addendum = "Также в Dedekind Gesammelte mathematische Werke, vol. III, Braunschweig (Vieweg \& Sohn) 1932, p.315--334 [Русский перевод: {\sparseFnt Дедекинд Р.}, Непрерывность и иррациональные числа, Mathesis, Одесса, 1923.]", keywords = {mainBibliography} }