Soviet Mathematics and Dialectics in the Post-Stalin Era: New Horizons
Tài liệu tham khảo
Aleksandrov, 1951, Leninskaia dialektika i matematika, Priroda, 1, 5
1964, Filosofskaia entsiklopediia, 3, 329
1970, Siberian Math. J., 2, 185
Arab-Ogly, 1959, Review of Norbert Wiener, Kibernetika i obshchestvo. Voprosy filosofii, 8, 129
Arkhitektura matematiki, 1972, V. Yu. Ivanetskii, Ed, Moscow, Znanie.
Asmus, 1965, Problema intuitsii v filosofii i matematike
Barabashev, 1986, Zakonomernosti i sovremennye tendentsii razvitiia matematiki, Voprosy filosofii, 8, 150
Bazhenov, L. B. & Nutsubidze, N. N.1976. K voprosu o roli matematiki v razvitii nauki. In Dialektika i metodologicheskie problemy razvitiia nauki, G. B. Abdullaev, et al., Eds., pp. 226–246. Baku, Elm.
Belotserkovskii, 1984, Cybernetics and practice, Cybernetics today, 68
Berg, 1964, Kibernetika i nauchnyi progress, Dialekticheskii materializm i sovremennoe estestvoznanie, 3
Bocharov, 1979, Nekotorye problemy razviti ia logiki, Voprosy filosofii, 6, 104
Boltianskii, 1966, Matematika i sovremennost', Priroda, 7, 49
Bourbaki, N.1948. L'architecture des mathématiques. In Les grands courants de la pensée mathématique, F. Linnois, Ed., pp. 37–47. Paris, Cahier du Sud.
1972, Arkhitektura matematiki, 4
Brouwer, L. E. J.1962. From Intuitionism to Formalism. In Classics of Mathematics, H. Calinger, Ed., pp. 693–700. Oak Park, IL, Moore.
Burova, 1976, Paradoksy teorii mnozhestv i dialektika.
Cybernetics today: Achievements, challenges, prospects.I. M. Ivanetskii, Ed., F. Palkin and V. Palkin. Trans. 1984. Moscow, Mir.
Dauben, 1979, Georg Cantor: His mathematics and philosophy of the infinite.
Dialekticheskaia logika kak metodologiia estestvoznaniia. 1985, Zh. M. Abdil'din, et al., Eds, Alma-Ata, Nauka.
Dialektika i logika nauchnogo poznaniia. 1966, F. V. Konstantinov, et al., Eds, Moscow, Nauka.
Dialektika nauchnogo poznaniia: Ocherki dialekticheskoi logiki. 1978, D. P. Gorskii, et al., Eds, Moscow, Nauka.
Dmitriev, A. I.1970. Vzaimosviaz' osoznannogo i neosoznannogo v protsesse otrazheniia deistvitel'nosti. In Sovremennye problemy teorii poznaniia dialekticheskogo materializma.M. B. Mitinet al., Eds., Vol. 2, pp. 308–343. Moscow, Mysl'.
Dragalin, A. G.1973. Constructive mathematics and models of intuitionistic theories. In Logic, methodology and philosophy of science, 4.Patrick, Suppeset al., Eds., pp. 111–128. Amsterdam, New Holland.
1979, Matematicheskaia entsiklopediia, 2, 638
———. Konstruktivnaia model' intuitsionistskogo analiza. In Filosofiia v sovremennom mire, pp. 55–77.
Ershov, Iu. I.1970. Nekotorye voprosy primeneniia formalizovannykh iazykov dlia issledovaniia filosofskikh problem. In Metodologicheskie problemy matematiki, Yu. G. Borisov, Ed., pp. 83–89. Novosibirsk, Nauka.
Fataliev, 1958, Vrazhdebnost' neopozitivizma sovremennoi nauke, Materialy Vsesoiuznogo soveshchaniia zaveduiushchikh kafedrami obshchestvennykh nauk, 318
Filosofiia v sovremennom mire: Filosofiia i logika. 1974, P. V. Tavanets, & V. A. Smirnov, Eds, Moscow, Nauka.
Fraenkel, 1958, Foundations of set Theory
From Frege to Gödel: A source book in mathematical logic (1879–1931). 1979, J. van Heijenoort, Ed, Cambridge, MA, Harvard Univ. Press.
German, 1935
Glushkov, 1985, Vliianie `kiberneticheskogo faktora' na kharakter razvitiia matematiki i protsess matematizatsii nauchnogo znaniia, Gnoseologicheskii analiz matematizatsii nauki.
A. I. Moroz and N. N. Kiseler, Eds. pp. 14–27. Kiev, Naukova Dumka.
Gnedenko, 1972, Matematika—Drevnaia i molodaia, Arkhitektura matematiki, 19
———. 1973. Matematika i sovremennoe estestvoznanie. In Sintez sovremennogo nauchnogo znaniia, V. A. Ambartsumianet al., Eds. pp. 143–158. Moscow, Nauka.
Graham, 1972, Science and philosophy in the Soviet Union.
Heyting, A.1962, After thirty years. In Logic, Methodology and Philosophy of Science, E. Nagelet al., Eds., pp. 194–197. Stanford, CA, Stanford Univ. Press.
———. 1964. The intuitionist foundations of mathematics. In Philosophy of mathematics, P. Benacerraf and H. Putnam, Eds., pp. 42–49. Englewood Cliffs, NJ, Prentice Hall.
Holloway, 1974, Innovation in science—the case of cybernetics in the Soviet Union, Science Studies, 4, 299, 10.1177/030631277400400401
Ivanovskaia, S. A.1948. Osnovaniia matematiki i matematicheskaia logika. In Matematika v SSSR za tridtsat' let, 1917–1947, A. G. Kuroshet al., Eds., pp. 11–50. Moscow/Leningrad, Gosizdat.
1951, Voprosy filosofii, 3, 339
1964, Filosofskaia entsiklopediia, 3, 228
1973, Metodologicheskie problemy nauki.
Istoriia otechestvennoi matematiki.1972. I. Z. Shtokalo, et al., Eds., Vol. 4Kiev, Naukova Dumka.
Iushkevich, 1987, Matematika i ee istoriia v retrospektive, Zakonomernosti, 28
Katsiveli, 1975, Matematika i deistvitel'nost', Istoriko-matematicheskie issledovaniia, 20, 11
Kedrovskii, 1972, Metodologicheskie problemy matematicheskogo poznaniia.
Kerschner, 1964, Western translations of Soviet publications on cybernetics, Studies in Soviet Thought, 4, 162, 10.1007/BF01044668
Kheinrot, 1991, F. Engel's i matematika, Priroda, 8, 90
Khinchin, 1926, Idei intuitsionizma i bor'ba za predmet v sovremennoi matematike, Vestnik kommunisticheskoi akademii, 16, 184
1977, Vosem' lektsii po matematicheskomu analizu.
Kirschenmann, 1970, Information and reflection., 10.1007/978-94-011-6812-0
Kol'man, E.1957. K kritike sovremennogo “matematicheskogo” idealizma. In Dialekticheskii materializm i sovremennoe estestvoznanie.L. Kniazeva, Ed., pp. 184–250. Moscow, Gosizdat.
———. 1965. Filosofskie problemy sovremennoi matematiki. In Filosofiia estestvoznaniia: Sbornik statei.I. I. Cheldeaet al., Eds., pp. 185–228. Moscow, Gosizdat.
Kolmogorov, 1979, On the principle of excluded middle, From Frege to Gödel, 414
1987, Teoriia informatsii i teoriia algoritmov.
1989, Cybernetics Today, 20
Lenin, 1970, Materialism and empiriocriticism.
Litsis, 1976, Filosofskoe i nauchnoe znachenie idei N. I. Lobachevskogo.
Lorenzen, 1968, Mathematics as a philosophical problem, Logic and foundations of mathematics: Dedicated to Professor Heyting on his 70th birthday, 133
Luk'ianets, V. S.1974. K probleme real'nosti v metodologii nauki. In Dialekticheskii materializm i problema real'nosti v sovremennoi fizike, V. A. Bazhanovet al., Eds., pp. 266–351. Kiev, Naukova Dumka.
1980, Filosofskie osnovaniia matematicheskogo poznaniia.
Markov, 1964, Konstruktivnoe napravlenie (v matematike i fizike), Filosofskaia entsiklopediia, 3, 50
———. 1968. An approach to constructive mathematics. In Logic, methodology and philosophy of science, B. V. Rootselaar & J. F. Staal, Eds., Vol. 3, pp. 283–294. Amsterdam, North-Holland.
1953, Voprosy filosofii, 2, 210
Mikhailov, 1965, Gnoseologicheskii analiz krizisa teoretiko-mnozhestvennogo osnovaniia matematiki, Filosofskie nauki, 6, 56
Mikulak, 1965, Cybernetics and Marxism–Leninism, Slavic Review, 3, 450, 10.2307/2492266
Morozov, K. E., Petrov, Iu. A., & Perminov, V. Ia.1977. Problemy filosofskogo obosnovaniia matematiki i matematicheskoi logiki. In Filosofskie obosnovaniia estestvoznaniia, S. T. Meliukhinet al., Eds., pp. 77–127. Moscow, Moskovskii universitet.
Mostowski, 1965, Thirty years of foundational studies.
Nagel, 1958, Gödel's proof.
Novik, 1990, Normal'naia lzhenauka, Voprosy istorii estestvoznaniia i tekhniki, 4, 3
Nyasanbaev, 1982, Dialektika i sovremennaia matematika.
Panov, 1987, L. E. Ia. Brauer i sovetskaia matematika, Zakonomernosti, 250
1988, Filosofskie problemy sovremennogo estestvoznaniia, 66, 54
1994, Metodologicheskie problemy intuitsionistskoi matematiki.
Petrov, 1972, O metodologii obosnovanii matematiki, Voprosy filosofii, 5, 63
Protopopov, 1983, Filosofskie problemy razvitiia matematiki.
Ruzavin, G. I. 1968, O prirode matematicheskogo znaniia, Moscow, Nauka, Science as a subject of Study. 1987, Moscow, Social Sciences Today.
———. 1983. Abstraktnye struktury i revoliutsii v matematike. In Dialektika v naukakh o prirode i cheloveke, I. T. Frolov, et al., Eds. 471–477. Moscow, Nauka.
1983, Filosofskie problemy osnovaniia matematiki.
Semenov, 1986, Matematicheskaia logika v vychislitel'nykh naukakh i vychislitel'noi praktike, Vestnik Akademii Nauk SSSR, 7, 93
Shanin, 1958, O konstruktivnom ponimanii matematicheskikh suzhdenii, Trudy Matematicheskogo Instituta im. V. A. Steklova, 52, 223
Shvyrev, 1983, Analiz nauchnogo poznaniia: Osnovnye napravleniia.
Smirnov, 1987, Epistemology and symbolic logic, Science, 41
Smirnov, 1974, O vzaimootnoshenii simvolicheskoi logiki i filosofii, Filosofiia v sovremennom mire, 5
Sobolev, 1955, Osnovnye cherty kibernetiki, Voprosy filosofii, 4, 139
Sobolev, S. L., & Liapunov, A. A.1959. Kibernetika i estestvoznanie. In Filosofskie problemy sovremennogo estestvoznaniia, P. N. Fedoseevet al., Eds. pp. 237–267. Moscow, Akademiia Nauk SSSR.
Stastishin, V. M.1983. Ob osobennostiakh sovremennogo etapa matematizatsii nauchnogo znaniia. In Edinstvo i mnogoobrazie mira, I. T. Frolovet al., Eds., pp. 371–377. Moscow, Nauka.
Subbotin, 1977, Filosofiia v matematicheskom poznanii.
1987, Science, 130
Susiluoto, 1982, The origins and development of systems thinking in the Soviet Union.
Tugarinov, 1950, Protiv idealizma v matematicheskoi logike, Voprosy filosofii, 3, 331
Vakhtomin, 1986, Teoriia nauchnogo znaniia Kanta.
Vykhovskii, 1952, Kibernetika—Amerikanskaia lzhenauka, Priroda, 7, 125
Voitsekhovich, 1984, Matematicheskoe poznanie: Ot gipotezy k teorii.
1956, Vospominaniia o Markse i Engel'se: Sbornik statei
Zakonomernosti sovremennoi matematiki: Metodologicheskie aspekty. 1987, M. I. Panov, Ed, Moscow, Nauka.
Zhukova, L. V.1976. Spetsifika otrazheniia v matematicheskikh abstraktsiiakh i predmet matematiki. In Materialisticheskaia dialektika i chastnye nauki, Iu. I. Efimovet al., Eds. pp. 146–160. Moscow, Nauka.
Zinoviev, A. A.1978. Logical and physical implication. In Problems of the logic of scientific knowledge, A. V. Tavanets, Ed., T. J. Blakely, Trans., pp. 91–159. Dordrecht, Reidel.