Математика. Утрата определенности.
Шрифт:
65. Lewis C.I. A Survey of Symbolic Logic. — New York: Dover, 1960.
66. Luchins E. and A. Logicism. — Scripta Mathematics,1965, 27, p. 223-243.
57. Luxemburg W.A.J. What is Non-Standard Analysis? — Amer. Math. Month., 1973, 80, p. 11, p. 38-67.
58. Mackie G.L. Truth, Probability and Paradox. — New York: Oxford University Press, 1973.
59. Mendelson E. Introduction to Mathematical Logic. — New York: Van Nostrand, 1979, (2nd ed.) [Русский перевод 1-го изд. книги: Мендельсон Э. Введение в математическую логику. — М.: Наука, 1971.]
60. Monk J.D. On the Foundation of Set Theory. — Amer. Math. Month.,1970, 77, p. 703-711.
61. Myhill J. What is a Real Number? — Amer. Math. Month.,1972, p. 748-754.
62. Nagel E., Newman J.R. G"odel's Proof. — Scientific American,June 1956, p. 71-86.
63. Nagel E., Newman J.R. G"odel's Proof. — New York: New York University Press, 1958. [Сокращенный русский перевод: Нагель Э., Ньюмен Д. Теорема Гёделя. — М.: Знание, 1970.]
64. Neumann J. von. The Mathematician. In: Heiwood R.B. The Works of the Mind. — Chicago: University of Chicago Press, 1947; 180-196; также в кн.: [65], vol, IV, p. 2053-2068; Neumann J. von, Collected Works, vol. I, 1961, p. 1-9. [Русский перевод: Нейман Дж. фон. Математик. — Природа, 1983, №2, с. 88-95.]
65. Newman J.R. The World of Mathematics, 4 vols. — New York: Simon and Schuster, 1956,
66. Pierpont J. Mathematical Rigor Past and Present. — Amer. Math. Soc. Bulletin,1928, 34, p. 23-52.
67. Poincar'e H. The Foundations of Science. — Lancaster, Pa.; The Science Press, 1946,
68. Poincar'e H. Last Thoughts. — New York: Dover Publications, 1963. [Неполный русский перевод (с французского) книг [67], [68] — см. книгу [1] в списке Дополнительной литературы]
69. Putman H. Is Logic Empirical? — Boston Studies in Philosophy of Science. 1969, p. 216-241.
70. Putnam H. Mathematics, Matter and Method, Philosophical Papers, vol. 1. — New York: Cambridge University Press, 1975.
71. Quine W.V. The Foundations of Mathematics. — Scientific American,Sept, 1964, p, 112-127.
72. Qu^ine W.V. From a Logical Point of View, 2nd ed. — Cambridge, Mass. Harvard University Press, 1961.
73. Quine W.V. Paradox. — Scientific American,April 1962, p. 84-96.
74. Quine W.V. The Ways of Paradox and Other Essays. — New York: Random House, 1966.
75. Richmond D.E. The Theory of the Cheshire Cat. — Amer. Math. Month.,1934, 41, p. 361-368.
76. Robison A. Non-Standard Analysis, 2nd ed. — New York: North-Holland, 1974.
77. Rotman B., Kneebone G.T. The Theory of Sets and Transfinite Numbers. — London: Oldbourne, 1966.
78. Russell B. The Autobiography of Bertrand Russell: 1872 to World War I. — New York: Bantam Books, 1965.
79. Russell B. Introduction to Mathematical Philosophy. — London: George Allen & Unwin, 1919.
80. Russell B. Mysticism and Logic. — London: Longmans, Green, 1925.
81. Russell B. The Principles of Mathematics, 2nd ed. — London: George Allen & Unwin, 1937.
82. Schrodinger E. Nature and the Greeks. — New York: Cambridge University Press, 1954.
83. Sentilles D. A Bridge to Advanced Mathematics. — Baltimore: Williams & Wilkins, 1975.
84.Snapper E. What is Mathematics? — Amer. Math. Month.,1979, 86, p. 551-557.
85. Stone M. The Revolution in Mathematics. — Amer. Math. Month.,1961, 68, p. 715-734.
86. Tarski A. Introduction to Logic and to the Methodology of Deductive Sciences, 2nd ed. — New York: Oxford University Press, 1946. [Русский перевод 1-го изд.: Тарский А. Введение в логику и методологию дедуктивных наук. — М.: ИЛ, 1948.]
87. Tarski A. Truth and Proof. — Scientific American,June 1969, p. 63-77.
88. Waisman F. Introduction to Mathematical Thinking. — New York: Harper & Row, 1959.
89. Wavre R. Is There a Crisis in Mathematics? — Amer. Math. Month.,1934, 41, p. 488-499.
90. Weil A. The Future of Mathematics. — Amer. Math. Month.,1950, 57, p. 295-306.
91. Weyl H. A Half-Century of Mathematics. — Amer. Math. Month.,1951, 58, 523-553. [Русский перевод: Вейль Г. Полвека математики. — M.: Знание, 1969.]
92. Weyl H. Mathematics and Logic. — Amer. Math. Month,1946, 53, p. 2-13,
93. Weyl H. Philosophy of Mathematics and Natural Sciences. — Princeton: University Press, 1949. [Немецкий оригинал: Weyl H. Philosophie der Mathematik und Naturwissenschaften. — M"unchen: Oldenberg, 1922; русский перевод (частичный): Вейль Г. О философии математики. — М.: Гостехиздат, 1934, с. 34-91; 2-е изд. доп. и перераб. M"unchen: Leibniz Verlag, 1950; русский перевод отрывков — в кн.: Прикладная математика (под ред. Э. Беккенбах). — М.: Мир, 1968, с. 309-361.]
94. White L.A., The Locus of Mathematical Reality: An Anthropological Footnote. — Philosophy of Science,1947, 14, p. 289-303; vol. IV, p. 2348-2364.
95. Whitehead A.N., Russell В. Principia Mathematica, 3 vols. — New York: Cambridge University Press., 1st ed., 1910-1913; 2nd ed., 1925-1927.
96. Wigner E.P. The Unreasonable Effectiveness of Mathematics. — Corn. Pure and Appl. Math.,1960, 13, 1-14. [Русский перевод: Вигнер Е. Непостижимая эффективность математики в естественных науках. — В кн.: Вигнер Е. Этюды о симметрии. — М.: Мир, 1971, 182-198; также: УФН, т. 94, вып. 3. 1968, с. 535-546; в кн.: Проблемы современной математики. — М.: Знание, 1971, с. 22-33.]
97. Wilder R.L. Introduction to the Roundations of Mathematics, 2nd ed. — New York: John Wiley, 1965.
98. Wilder R.L. The Nature of Mathematical Proof. — Amer. Math.,1944, 51, p. 309-323.
99. Wilder R.L. The role of Axiomatic Method. — Amer. Math. Month.,1967, 74, p. 115-127.
100. Wilder R.L. The Role of Intuition. — Science,1967, 156, p. 605-610.