@article{cantor1874, author = "Кантор", nameaddon = "(Cantor Georg)", title = "{{\"U}ber eine Eigenschaft des Inbegriffes aller reellen algebraischen Zahlen}", 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} } %% TODO: разобраться с номерами и годами журналов @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} } @article{church1932, author = "Чёрч", nameaddon = "(Church Alonzo)", title = "{A set of postulates for the foundation of logic}", journal = "Annals of mathematics, second series", number = "33", pages = "346-366", year = "1932", keywords = {mainBibliography} } @article{schoenfinkel1924, author = "М. И. Шейнфинкель", nameaddon = "(Sch{\"o}nfinkel Moses)", title = "{{\"U}ber die Bausteine der mathematischen Logik}", journal = "Math. Ann.", number = "92", pages = "305-316", year = "1924", keywords = {mainBibliography} } @article{buraliforti1897, author = "Бурали-Форти", nameaddon = "(Burali-Forti Cesare)", title = "{Una questione sui numeri transfiniti}", journal = "Rendiconti del Circolo Matematico di Palermo", number = "11", pages = "154-164", year = "1897", addendum = "См. также ibid., 260. Об открытии Кантором парадоксов Бурали-Форти и Кантора см. Френкель~\cite[стр. 470]{fraenkel1932}", keywords = {mainBibliography,starred} } @book{fraenkel1932, author = "Френкель", nameaddon = "(Fraenkel Adolf)", title = "{Das Leben Georg Cantors. Georg Cantor Gesammelte Abhandlungen mathematischen und philosophischen Inhalts}", editor = "Цермело~(Ernst~Zermelo)", location = "Berlin", publisher = "Springer", year = "1932", pages = "452-483", keywords = {mainBibliography} } @article{gentzen1936, author = "Генцен", nameaddon = "(Gentzen Gerhard)", title = "{Die Widerspruchsfreiheit der reinen Zahlentheorie}", journal = "Mathematische Annalen", number = "112", pages = "493-565", year = "1936", addendum = "Он употребляет ${1,\; 2,\; 3\ldots}$ там, где мы употребляем ${0,\; 1,\; 2,\; \ldots}$.", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{russel1902-1903, author = "Рассел", nameaddon = "(Russell Bertrand) (Russel B. A. W.)", year = "1902--1903", addendum = "Парадокс Рассела встречается у Фреге~\cite{frege1903} в postscriptum'е (датированным Фреге октябрём 1902 г.), стр. 253--265. По поводу независимого открытия Цермело этого парадокса, см.~Цермело~\cite[стр. 119]{zermelo1908a} и~Гильберт~\cite[стр. 169]{hilbert1926}", keywords = {mainBibliography,starred} } % TODO: разобраться с годом публикации @book{russel1919, author = "Рассел", nameaddon = "(Russell Bertrand) (Russel B. A. W.)", title = "{Introduction to mathematical philosophy}", pagetotal = "VIII+208 p.", year = "1920", year = "1919", edition = "2nd ed.", origlocation = "London", origpublisher = "G. Allen and Unwin", location = "New York", publisher = "Macmillan", keywords = {mainBibliography} } @article{dantzig1948, author = "ван~Данциг", sortname = "Данциг", nameaddon = "(Dantzig, D. van)", title = "{Significs, and its relation to semiotics}", journal = "Library of the Tenth International Congress of Philosophy (Amsterdam, Aug. 11--18, 1948)", volume = "2 Philosophical essays", location = "Amsterdam", publisher = "Veen", pages = "176-189", year = "1948", keywords = {mainBibliography} } @article{gonseth1933, author = "Гонсет", nameaddon = "(Gonseth Ferdinand)", title = "{La v{\'e}rit{\'e} math{\'e}matique et la r{\'e}alit{\'e}}", journal = "L'Enseignement mathematique", number = "31 (за 1932, вышло из печати в 1933)", pages = "96-114", year = "1933", addendum = "См. также: A propos d'un catalogue paradoxical, Reponse de M. Gonseth a M. Winants, ibid., p. 269--271", keywords = {mainBibliography} } @book{frege1893, author = "Фреге", nameaddon = "(Frege Gottlob)", title = "{Grundgesetze der Arithmetik, begriff schriftlich abgeleitet}", volume = "1", pagetotal = "XXXII+254 p.", year = "1893", location = "Jena", publisher = "H. Pohle", keywords = {mainBibliography} } @book{frege1903, author = "Фреге", nameaddon = "(Frege Gottlob)", title = "{Grundgesetze der Arithmetik, begriff schriftlich abgeleitet}", volume = "2", pagetotal = "XV+265 p.", year = "1903", location = "Jena", publisher = "H. Pohle", addendum = "Английский перевод \textsection\textsection~86--137 Блэка (Max Black) под заголовком Frege against the formalists опубликован в The philosophical review, 59 (1950), 77--93, 202--219, 332--345.", keywords = {mainBibliography} } %% TODO: подумать над ibid %% исправлена опечатка %% в оригинале "begriffsschriftlich" %% @article{hilbert1926, author = "Гильберт", nameaddon = "(Hilbert David)", title = "{{\"U}ber das Unendliche}", journal = "Math. Ann.", number = "95", pages = "161-190", year = "1926", addendum = "Перепечатка в сокращённом виде в Jahresb. Deutschen Math. Verein., 36 (1927), 201--215, а также с некоторыми изменениями в Grundlagen der Geometrie, 7-ое изд., 1930, p. 262--288 (стр. 338--364 русского перевода).", keywords = {mainBibliography} } @article{richard1905, author = "Ришар", nameaddon = "(Richard Jules)", title = "{Les principes des math{\'e}matiques et le probleme des ensembles}", journal = "Revue g{\'e}n{\'e}rale des sciences pures et appliqu{\'e}es", number = "16", pages = "541-543", year = "1905", addendum = "Также в Acta mathematica, 30 (1906), 295--296.", keywords = {mainBibliography} } @article{dixon1906, author = "Диксон", nameaddon = "(Dixon A. C.)", title = "{On <> aggregates}", journal = "Proceedings of the London Mathematical Society", series="2", number = "4", pages = "18-20", year = "1906", addendum = "Ср. ibid., p.317--319", keywords = {mainBibliography} } %% TODO: подумать над ibid @article{russel1906, author = "Рассел", nameaddon = "(Russell Bertrand) (Russel B. A. W.)", title = "{Les paradoxes de la logique}", journal = "Revue de m{\'e}taphysique et de morale", number = "14", pages = "627-650", year = "1906", keywords = {mainBibliography} } @article{berry1906, author = "Берри", nameaddon = "(Berry G. G.)", year = "1906", addendum = "См. Рассел~\cite[стр. 645]{russel1906}.", keywords = {mainBibliography} } @book{weyl1949, author = "Вейль", nameaddon = "(Weyl Hermann)", title = "{Phylosophy of mathematics and natural science}", pagetotal = "X+311 p.", year = "1949", location = "Princeton, N. J.", publisher = "Princeton University Press", addendum = "Переработанное и дополненное английское издание на основе перевода Хельмера (Olaf Helmer) с немецкого оригинала \lbrack1927\rbrack.", keywords = {mainBibliography} } @book{rustow1910, author = "Рюстов", nameaddon = "(R{\"u}stow Alexander)", title = "{Der L{\"u}gner: Theorie, Geschichte und Aufl{\"o}sung}", pagetotal = "V+147 p.", year = "1910", location = "Leipzig", publisher = "Teubner", keywords = {mainBibliography} } %% исправлена опечатка %% в оригинале в названии запятая вместо двоеточия %% @book{prandtl1855, author = "Прандтль", nameaddon = "(Prandtl Carl)", title = "{Geschichte der Logik im Abendlante}", volume = "1", pagetotal = "XII+734 p.", year = "1855", location = "Leipzig", publisher = "S. Hirzel", addendum = "(Остальные тома 1861, 1867, 1870.) Перепечатка, 1927.", keywords = {mainBibliography} }