%======= Александров =========================================================== @book{aleksandrov1948, author = "П. С. Александров", title = "{Введение в общую теорию функций}", publisher = "М.---Л.", pubstate = "1948", year = "1948", pagetotal = "441", keywords = {mainBibliography,addedByTranslator} } %======= Бернштейн ============================================================= @article{bernstein1898, author = "Бернштейн", nameaddon = "(Bernstein Felix)", year = "1898", addendum = "См. Борель~\cite[стр. 104]{borel1898}", keywords = {mainBibliography} } %======= Берри ================================================================= @article{berry1906, author = "Берри", nameaddon = "(Berry G. G.)", year = "1906", addendum = "См. Рассел~\cite[стр. 645]{russell1906}.", keywords = {mainBibliography} } %======= Блэк ================================================================== % TODO: разобраться с местом публикации @book{black1933, author = "Блэк", nameaddon = "(Black Max)", title = "{The nature of mathematics. A critical survey}", pagetotal = "XIV+219 p.", year = "1933", origlocation = "London", origpublisher = "Kegan Paul, Trench, Trubner", location = "New York", publisher = "Hartcourt, Brace", addendum = "Перепечатка: London (Routledge and Kegan Paul) and New York (The Humanities Press) 1950.", keywords = {mainBibliography} } %======= Борель ================================================================ @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} } %======= Бочвар ================================================================ @XData{bochvar, author = "Д. А. Бочвар", } @article{bochvar1938, xdata = {bochvar}, title = "{Об одном трёхзначном исчислении и его применении к анализу парадоксов классического расширенного функционального исчисления}", journal = "Матем. сб.", number = "4~(46)", pages = "287-308", year = "1938", keywords = {mainBibliography, addedByTranslator} } @article{bochvar1943, xdata = {bochvar}, title = "{К вопросу о непротиворечивости одного трёхзначного исчисления}", journal = "Матем. сб.", number = "12~(54)", pages = "353-369", year = "1943", keywords = {mainBibliography, addedByTranslator} } @article{bochvar1944, xdata = {bochvar}, title = "{К вопросу о парадоксах математической логики и теории множеств}", journal = "Матем. сб.", number = "15~(57)", pages = "369-384", year = "1944", keywords = {mainBibliography, addedByTranslator} } %======= Бурали-Форти ========================================================== @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} } %======= Вандивер ============================================================== @article{vandiver1946, author = "Вандивер", nameaddon = "(Vandiver~H.~S.)", title = "{Fermat's last theorem. Its history and the nature of the known results concerning it}", journal = "Amer. math. monthly", number = "53", pages = "555-578", year = "1946", keywords = {mainBibliography} } %======= Веблен ================================================================ % TODO: аддендум вынести в отдельную запись @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} } %======= Веблен и Басси ======================================================== % 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} } %======= Гонсет ================================================================ @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} } %======= Дедекинд ============================================================== @XData{dedekind, author = "Дедекинд", nameaddon = "(Dedekind Richard)", } @book{dedekind1872, xdata = {dedekind}, title = "{Stetigkeit und irrationale Zahlen}", pagetotal = "vii+326 pp.", year = "1927", pubstate = "1872", sortyear = "1872", edition = "5-е изд.", location = "Braunschweig", addendum = "Также в Dedekind Gesammelte mathematische Werke, vol. III, Braunschweig (Vieweg \& Sohn) 1932, p.315--334 \lbrack Русский перевод: {\sparseFnt Дедекинд Р.}, Непрерывность и иррациональные числа, Mathesis, Одесса, 1923.\rbrack", keywords = {mainBibliography} } @book{dedekind1888, xdata = {dedekind}, title = "{Was sind und was sollen die Zahlen?}", location = "Braunschweig", edition = "6-ое изд.", year = "1930", pubstate = "1888", sortyear = "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} } %======= Диксон ================================================================ %% TODO: подумать над ibid @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} } %======= Кантор ================================================================ @XData{cantor, author = "Кантор", nameaddon = "(Cantor Georg)", } @article{cantor1874, xdata = {cantor}, 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{cantor1895-1897, xdata = {cantor}, title = "{Beitr{\"a}ge zur Begr{\"u}ndung der transfiniten Mengenlehre}", journal = "Mathematische Annalen", number = "46~(1895)", pages = "481--512", year = "1895--1897", sortyear = "1895", addendum = "49~(1897), 207--246. 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} } %======= Куайн ================================================================= @XData{quine, author = "Куайн", nameaddon = "(Quine Willard Van Orman)", } @book{quine1940, xdata = {quine}, title = "{Mathematical logic}", year = "1940", location = "New York", publisher = "Norton", pagetotal = "xiii+348 p.", addendum = "См.~Россер~\cite{rosser1942} и Куайн~\cite{quine1941} по поводу того обстоятельства, что в системе этой книги появляется парадокс Бурали-Форти (хотя, повидимому, не проходит парадокс Кантора), как это было обнаружено Россером и Линдоном (Roger C. Lyndon). Переработанное издание, Harvard University Press, 1951, xii+346 p.", keywords = {mainBibliography, starred} } % TODO: добавить "См. Чёрч и Куайн." @article{quine1941, xdata = {quine}, title = "{Element and number}", journal = "The Journal of Symbolic Logic", number = "6", pages = "135-149", year = "1941", keywords = {mainBibliography} } %======= Лангфорд ============================================================== % TODO: добавить "См. Льюис и Лангфорд." @article{langford1927, author = "Лангфорд", nameaddon = "(Langford Cooper Harold)", title = "{On inductive relations}", journal = "Bulletin of the American Mathematical Society", number = "33", pages = "599-607", year = "1927", keywords = {mainBibliography} } %======= Медведев ============================================================== @article{medvedev1955, author = "Ю. Т. Медведев", title = "{Степени трудности массовых проблем}", journal = "Докл. АН СССР", number = "104,~\textnumero~5", pages = "501-504", year = "1955", keywords = {mainBibliography,addedByTranslator} } %======= Пеано ================================================================= @XData{peano, author = "Пеано", nameaddon = "(Peano Giuseppe)", } @book{peano1889, xdata = {peano}, title = "{Arithmetices principia, novo methodo exposita}", pagetotal = "XVI+20 p.", year = "1889", location = "Turin", publisher = "Bocca", keywords = {mainBibliography} } @article{peano1891, xdata = {peano}, 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} } @book{peano1894-1908, xdata = {peano}, title = "{Formulaire de math{\'e}matiques}", year = "1894--1908", sortyear = "1908", location = "Turin", addendum = "Введение и пять томов. Под ред. Пеано. Написано им в сотрудничестве с Беттацци~(Rodolfo~Bettazzi), Бурали-Форти~(Cesare~Burali-Forti), Кастеллано~(F.~Castellano), Фано~(Gino~Fano), Джудиче~(Francesco~Giudice), Вайлати~(Giovanni~Vailati) и Виванти~(Guilio~Vivanti).", keywords = {mainBibliography} } %======= Прандтль ============================================================== @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} } %======= Пуанкаре ============================================================== @XData{poincare, author = "Пуанкаре", nameaddon = "(Poincar{\'e} Henri)", } @book{poincare1900, xdata = {poincare}, 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", pubstate = "1900", sortyear = "1900", keywords = {mainBibliography} } @book{poincare1902, xdata = {poincare}, title = "{La science et l'hypoth{\`e}se}", location = "Paris", pagetotal = "284 p.", year = "1902", addendum = "Перевод на английский Хальстеда (Bruce Halsted) помещён на стр.~27--197 в H.~Poincar{\'e}, The foundations of science, New York, 1913; перепечатка, 1929. \lbrack Русский перевод: {\sparseFnt Пуанкаре А.}, Наука и гипотеза, с пред. Н.~А.~Умова, М., 1904, 268 стр.\rbrack", keywords = {mainBibliography} } @article{poincare1905-1906, xdata = {poincare}, labelyear = "1905--1906", sortyear="1905", title = "{Les math{\'e}matiques et la logique}", journal = "Revue de m{\'e}taphysique et de morale", number = "13~(1905)", pages = "815-835", year = "1905--1906", addendum = "14~(1906), 17--34, 294--317. Перепечатана в 1908 г. с существенными изменениями и добавлениями.", keywords = {mainBibliography} } @book{poincare1908, xdata = {poincare}, title = "{Science et m{\'e}thode}", location = "Paris", pagetotal = "311 p.", year = "1908", addendum = "Перевод на английский Хальстеда (Bruce Halsted) помещён на стр.~359--546 H.~Poincar{\'e}, в The foundations of science, New York, 1913; перепечатка, 1929. \lbrack Русский перевод: {\sparseFnt Пуанкаре Г.}, Наука и метод, Mathesis, Одесса, 1910.\rbrack", keywords = {mainBibliography} } %======= Рамсей ================================================================ @article{ramsey1926, author = "Рамсей", nameaddon = "(Ramsey F. P.)", title = "{The foundations of mathematics}", journal = "Proceedings of the London Mathematical Society", series="2", number = "25", pages = "338-384", year = "1926", addendum = "Перепечатано на стр.~1--61 в F.~P.~Ramsey, The foundations of mathematics and other logical essays, ed. by R.~B.~Braithwaite, London (Kegan Paul, Trench, Trubner) and New York (Harcourt, Brace) 1931. Перепечатка этого издания London (Routledge and Kegan Paul) and New York (Humanities Press) 1950.", keywords = {mainBibliography} } %======= Рассел ================================================================ @XData{russell, author = "Рассел", nameaddon = "(Russell Bertrand) (Russell B. A. W.)", } % TODO: уточнить название @article{russell1902, xdata = {russell}, 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} } % TODO: разобраться с годом публикации @book{russell1902-1903, xdata = {russell}, year = "1902--1903", sortyear = "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} } @article{russell1906, xdata = {russell}, 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{russell1908, xdata = {russell}, title = "{Mathematical logic as based on the theory of types}", journal = "Amer. journ. math.", number = "30", pages = "222-262", year = "1908", keywords = {mainBibliography} } % TODO: уточнить журнал @article{russell1910, xdata = {russell}, title = "{La th{\'e}ory des types logiques}", journal = "Revue de m{\'e}taphysique et de morale", number = "18", pages = "263-301", year = "1910", keywords = {mainBibliography} } % TODO: разобраться с годом и местом публикации и добавить "См. Уайтхед и Рассел." @book{russell1919, xdata = {russell}, title = "{Introduction to mathematical philosophy}", pagetotal = "VIII+208 p.", year = "1920", pubstate = "1919", sortyear = "1919", edition = "2nd ed.", origlocation = "London", origpublisher = "G. Allen and Unwin", location = "New York", publisher = "Macmillan", keywords = {mainBibliography} } %======= Ришар ================================================================= @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} } %======= Рюстов ================================================================ @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 %% %======= Серпинский ============================================================ @book{sierpinski1928, author = "Серпинский", nameaddon = "(Sierpinski W.)", title = "{Le{\c c}ons sur les nombres transfinis}", edition = "2-е изд.", location = "Paris", publisher = "Gauthier-Villars", pagetotal = "240", year = "1950", pubstate = "1928", sortyear = "1928", keywords = {mainBibliography,addedByTranslator} } %======= Уайлс ================================================================= % TODO: решить с обозначением этого добавления @article{wiles1995, author = "Уайлс", nameaddon = "(Wiles, Andrew John)", title = "{Modular elliptic curves and Fermat's Last Theorem}", journal = "Annals of Mathematics", number = "141", pages = "443-551", year = "1995", keywords = {mainBibliography,addedByReTyper} } %======= Френкель ============================================================== @XData{fraenkel, author = "Френкель", nameaddon = "(Fraenkel Adolf)", } @article{fraenkel1922, xdata = {fraenkel}, title = "{Der Bergriff <> und die Unabh{\"a}ngigkeit des Auswahlaxioms}", journal = "Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch mathematische Klasse", year = "1922", pages = "253-257", keywords = {mainBibliography} } @article{fraenkel1925, xdata = {fraenkel}, title = "{Untersuchungen {\"u}ber die Grundlagen der Mengenlehre}", journal = "Mathematische Zeitschrift", number = "22", year = "1925", pages = "250-273", keywords = {mainBibliography} } @book{fraenkel1928, xdata = {fraenkel}, 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{fraenkel1932, xdata = {fraenkel}, 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} } @book{fraenkel1952, xdata = {fraenkel}, 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} } %======= Хаусдорф ============================================================== @XData{hausdorff, author = "Хаусдорф", nameaddon = "(Hausdorff Felix)", } @book{hausdorff1914, xdata = {hausdorff}, title = "{Grundz{\"u}ge der Mengenlehre}", location = "Leipzig", publisher = "Viet", year = "1914", pagetotal = "VIII+467 p.", keywords = {mainBibliography} } @book{hausdorff1927, xdata = {hausdorff}, 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} } %======= Цермело =============================================================== @XData{zermelo, author = "Цермело", nameaddon = "(Zermelo Ernst)", } @article{zermelo1904, xdata = {zermelo}, 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, xdata = {zermelo}, title = "{Neuer Beweis f{\"u}r die M{\"o}glichkeit einer Wohlordnung}", journal = "ibid.", number = "65", pages = "107--128", pubstate = "1908a", year = "1908", sortyear="1908", keywords = {mainBibliography} } % TODO: ibid в Math. Ann. 59 или 65 уточнить @article{zermelo1908, xdata = {zermelo}, title = "{Untersuchungen {\"u}ber die Grundlagen der Mengenlehre I}", journal = "ibid.", pages = "261-281", year = "1908", keywords = {mainBibliography} } %======= Шейнфинкель =========================================================== @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} } %%============================================================================%% @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} } @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{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} } @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} } % TODO: разобраться с годом публикации @book{hilbert1899, author = "Гильберт", nameaddon = "(Hilbert David)", title = "{Grundlagen der Geometrie}", pagetotal = "vii+326 pp.", year = "1930", pubstate = "1899", sortyear = "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} } @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{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} } @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} } @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} } @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 \lbrack 1927\rbrack.", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{skolem1929-1930, author = "Сколем", nameaddon = "(Skolem Thoralf)", title = "{{\"U}ber die Grundlagendiskussionen in der Mathematik. Den Syvende Skandinaviske Mathematikerkongress i Oslo 19--22 August 1929}", pages = "3-21", pubstate = "1929--1930", year = "1929", location = "Oslo", publisher = "Br\o{}ggers", keywords = {mainBibliography} } % TODO: разобраться с годом публикации @book{skolem1922-1923, author = "Сколем", nameaddon = "(Skolem Thoralf)", title = "{Einige Bemerkungen zur axiomatischen Begr{\"u}nddung der Mengenlehre. Wissenschaftliche Vortr{\"a}ge gehalten auf dem F{\"u}nften Kongress der Skandinavischen Mathematiker in Helsingfors vom.~4. bis.~7. Juli 1922}", pages = "217-232", pubstate = "1922--23", year = "1922", location = "Helsingfors", keywords = {mainBibliography} } % TODO: разобраться с номером @book{skolem1929, author = "Сколем", nameaddon = "(Skolem Thoralf)", title = "{{\"U}ber einige Grundlagenfragen der Mathematik. Skrifter utgitt av Det Norske Videnskaps-Akademi i Oslo, I. Mathematik-naturvidenskapelig klasse}", pagetotal = "No~4, 49 p.", year = "1929", keywords = {mainBibliography} } @article{neumann1925, author = "Нейман", nameaddon = "(Neumann, John von)", title = "{Eine Axiomatisierung der Mengenlehre}", journal = "Journal f{\"u}r die reine und angewandte Mathematik", number = "154", pages = "219-240", year = "1925", addendum = "Berichtigung, ibid., 155 (1926), 128.", keywords = {mainBibliography} } @article{bernays1937-1954, author = "Бернайс", nameaddon = "(Bernays Paul)", title = "{A system of axiomatic set theory}", journal = "The Journal of Symbolic Logic", number = "2", pages = "65-77", year = "1937", addendum = "6 (1941), 1--17; 7 (1942), 65--89 и 133--145; 8 (1943), 89--106; 13 (1948), 65--79; 6 (1954)", keywords = {mainBibliography} } @article{novikov1951, author = "П. С. Новиков", title = "{О непротиворечивости некоторых положений дескриптивной теории множеств}", journal = "Труды матем. ин-та АН СССР", number = "38", pages = "279-316", year = "1951", keywords = {mainBibliography,addedByTranslator} } @article{goedel1938, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{The consistency of the axiom of choice and of the generalized continuum hypothesis}", journal = "Proceedings of the National Academy of Sciences", number = "24", pages = "556-557", year = "1938", addendum = "Полное доказательство изложено в~\cite{goedel1940}", keywords = {mainBibliography} } % TODO: разобраться с ibid @article{goedel1939, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{Consistency proof for the generalized continuum hypothesis}", journal = "Proceedings of the National Academy of Sciences", number = "25", pages = "220-224", year = "1939", keywords = {mainBibliography} } @book{goedel1940, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory. Лекции, читанные в Институте Высших Исследований (the Institute for Advanced Study) в 1938--1939 гг., записки Брауна (George W. Brown)}", series = "Annals of Mathematics studies", number = "3", pagetotal = "66 p.", year = "1940", location = "Princeton", publisher = "Princeton University Press", addendum = "(В аксиоме A4 следует вставить <<$(u)$>> после <<$(\exists z)$>>.). Это сделано в русском переводе А.Маркова.~---~\textit{Прим. перев.} См. также пример~\ref{example:p74-13}~\textsection~\ref{sec:74-eliminability_of_descriptive_definitions}). Дополнительный тираж 1951, 74 p. \lbrack Русский перевод: {\sparseFnt Гёдель К.}, Совместимость аксиомы выбора и обобщённой континуум-гипотезы с аксиомами теории множеств, Успехи матем. наук, 3, \textnumero~1~(1948), 96--149.\rbrack", keywords = {mainBibliography} } @article{novikov1947, author = "П. С. Новиков", title = "{О логических парадоксах}", journal = "Докл. АН СССР", number = "56", pages = "451-453", year = "1947", keywords = {mainBibliography, addedByTranslator} } @book{weyl1918, author = "Вейль", nameaddon = "(Weyl Hermann)", title = "{Das Kontinuum. Kritische Untersuchungen {\"u}ber die Grundlagen der Analysis}", pagetotal = "iv+84 p.", year = "1918", location = "Leipzig", publisher = "Gruyter", addendum = "Перепечатано в 1932 г.", keywords = {mainBibliography} } @article{weyl1919, author = "Вейль", nameaddon = "(Weyl Hermann)", title = "{Der circulus vitiosus in der heutigen Begr{\"u}ndung der Analysis}", journal = "Jahresbericht der Deutschen Mathematiker-Vereinigung", number = "28", pages = "85-92", year = "1919", keywords = {mainBibliography} } %% Данного издания Лейбница нет ни в библиографии перевода, ни в библиографии %% оригинала. Однако, и в оригинале и в переводе есть ссылка на это издание. %% Поэтому для исправления ошибки и восстановления справедливости, стоит его %% добавить. @book{leibniz1666, author = "фон~Лейбниц", sortname = "Лейбниц", nameaddon = "(Leibniz, Gottfried Wilhelm von)", title = "{De Arte Combinatoria}", year = "1666", location = "Leipzig", keywords = {mainBibliography} } % TODO: сделать строчное примечание @book{hilbert_and_ackerman1928, author = "Гильберт~и~Аккерман", nameaddon = "(Hilbert David {\unsparseFnt and} Ackermann Wilhelm)", title = "{Grundz{\"u}ge der theoretischen Logik}", pagetotal = "viii+120 pp.", year = "1928", location = "Berlin", publisher = "Springer", edition = "2nd ed.", addendum = "2-ое изд., 1938, viii+133 pp. Перепечатка: New York (Dover Publications) 1946, 3-ое изд., Berlin, G{\"o}ttingen, Heidelberg (Springer) 1949, viii+155 pp. \lbrack Русский перевод со второго издания: {\sparseFnt Гильберт и Аккерман}, Основы теоретической логики, ИЛ, М., 1947, 302 стр.\rbrack", keywords = {mainBibliography} } @book{whitehead_and_russell1910-1913, author = "Уайтхед~и~Рассел", nameaddon = "(Whitehead Alfred {\unsparseFnt and} Russell Bertrand)", title = "{Principia mathematica}", year = "1910--1913", location = "Cambridge, England", publisher = "University Press", addendum = "Vol.~1, 1910, XV+666~p., (2-nd~ed.~1925), Vol.~2, 1912, XXIV+772~p., (2-nd~ed.~1927), Vol.~3, 1913, X+491~p. (2-nd~ed.~1927).", keywords = {mainBibliography} } @article{carnap1931-1932, author = "Карнап", nameaddon = "(Carnap Rudolf)", title = "{Die logizistische Grundlegung der Mathematik}", journal = "Erkenntnis", number = "2", year = "1931--1932", sortyear = "1931", pages = "91-105", keywords = {mainBibliography} } @article{weyl1946, author = "Вейль", nameaddon = "(Weyl Hermann)", title = "{Mathematics and logic. A brief survey serving as a preface to a review of <>}", journal = "American mathematical monthly", number = "53", pages = "2-13", year = "1946", keywords = {mainBibliography} } @article{rosser1942, author = "Россер", nameaddon="(Rosser Barkley){\unsparseFnt\ (Rosser J. B.; Rosser J. Barkley)}", title = "{The Burali-Forti paradox}", journal = "The Journal of Symbolic Logic", number = "7", pages = "1-17", year = "1942", keywords = {mainBibliography} } @book{goedel1944, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{Russell's mathematical logic. The philosophy of Bertrand Russell}", editor = "Paul Arthur Schlipp", year = "1944", location = "Northwestern University", publisher = "Evanston and Chicago", pages = "123-153", keywords = {mainBibliography} } @article{brouwer1908, author = "Брауэр", nameaddon="(Brouwer~L.~E.~J.)", title = "{De onbetrouwbaarheid der logische principes (Недостоверность принципов логики)}", journal = "Tijdschrift voor wijsbegeerte", number = "2", pages = "152-158", year = "1908", addendum = "Перепечатано в L.~E.~J.~Brouwer, Wiskunde, waarheid, werkeiilkheid, Groningen (P.~Noordhoff), 1919, 12 p.", keywords = {mainBibliography} } @article{novikov1939, author = "П. С. Новиков", title = "{О некоторых теоремах сущестования}", journal = "Докл. АН СССР", number = "23", pages = "438-440", year = "1939", keywords = {mainBibliography,addedByTranslator} } @article{novikov1943, author = "П. С. Новиков", title = "{On the consistency of certain logical calculus}", journal = "Матем. сб.", number = "12 (54)", pages = "231-261", year = "1943", keywords = {mainBibliography,addedByTranslator} } @article{kolmogorov1932, author = "А. Н. Колмогоров", title = "{Zur Deutung der intuitionistischen Logik}", journal = "Math. Zeits.", number = "35", pages = "58-65", year = "1932", keywords = {mainBibliography,addedByTranslator} } @article{shanin1953, author = "Н. А. Шанин", title = "{О некоторых операциях над логико-арифметическими формулами}", journal = "Докл. АН СССР", number = "93,~\textnumero~5", pages = "779-782", year = "1953", keywords = {mainBibliography,addedByTranslator} } % TODO: разобраться с отображением страниц и вообще уточнить это общее число % или просто страница @article{shanin1955, author = "Н. А. Шанин", title = "{О некоторых логических проблемах арифметики}", journal = "Труды матем. ин-та АН СССР", number = "43", pagetotal = "111", year = "1955", keywords = {mainBibliography,addedByTranslator} } @book{heyting1934, author = "Гейтинг", nameaddon = "(Heyting Arend)", title = "{Mathematische Grundlagenforschung. Intuitionismus. Beweistheorie. Ergebnisse der Mathematik und ihrer Grenzgebiete}", volume = "3", number = "4", pagetotal = "iv+73 p.", year = "1934", location = "Berlin", publisher = "Springer", addendum = "\\* Ошибка: Теорема Гёделя~\cite{goedel1932-1933} не имеет места для исчисления предикатов, как утверждает Гейтинг на стр.~18. См.~выше~\textsection~\ref{sec:81-reduction_of_classical_to_intuitionistic_systems}, замечание~\ref{remark:p81-1}.\\* \lbrack Русский перевод: {\sparseFnt Гейтинг А.}, Обзор исследований по основаниям математики, М.---Л., 1936.\rbrack", keywords = {mainBibliography} } @article{goedel1932-1933, author = "Гёдель", nameaddon = "(G{\"o}del Kurt)", title = "{Zur intuitionistischen Arithmetik und Zahlentheorie}", journal = "Ergebnisse eines math. Koll.", number = "Heft~4 (за 1931--1932, вышла из печати в 1933)", pages = "34-38", year = "1933", pubstate = "1932--1933", sortyear = "1933", keywords = {mainBibliography} } @book{bernays1935a, author = "Бернайс", nameaddon = "(Bernays Paul)", title = "{Hilberts Untersuchungen {\"u}ber die Grundlagen der Arithmetik. David Hilbert Gesammelte Abhandlungen}", volume = "3", location = "Berlin", pages = "196-216", year = "1935", pubstate = "1935a", sortyear = "1935", keywords = {mainBibliography} } % TODO: возможно стои скорректировать inproceedings % и оформить запись с воответсвущем блоке? тем более что это не единственный % случай inproceedings @article{hilbert1904, author = "Гильберт", nameaddon = "(Hilbert David)", title = "{{\"U}ber die Grundlagen der Logik und der Arithmetik}", journal = "Verhandlungen des Dritten Internationalen Mathematiker-Kongresses in Heidelberg vom.~3 bis.~13. August 1904", pages = "175-185", year = "1905", pubstate = "1904", sortyear = "1904", location = "Leipzig", addendum = "Перепечатана в Loc. cit.,p.~247--261 (стр.322--337 русского перевода).", keywords = {mainBibliography} } @article{weyl1944, author = "Вейль", nameaddon = "(Weyl Hermann)", title = "{David Hilbert and his mathematical work}", journal = "Bull. Amer. Math. Soc.", number = "50", pages = "612-654", year = "1944", keywords = {mainBibliography} }