Марио Ливио - Был ли Бог математиком? Галопом по божественной Вселенной с калькулятором, штангенциркулем и таблицами Брадиса

Franzén, T. 2005. Gödel’s Theorem: An Incomplete Guide to Its Use and Abuse (Wellesley, Mass.: K. Peters).

Frege, G. 1879. Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens (Halle, Germany: L. Nebert). Перевод S. Bauer-Mengelberg. В кн.: van Heijenoort, J. (ред.). 1967. From Frege to Gödel: A Source Book in Mathematical Logic (Cambridge, Mass.: Harvard University Press).

–. 1884. Der Grundlagen der Arithmetik (Breslau: Koebner). Перевод J. L. Austin, 1974. The Foundations of Arithmetic (Oxford: Basil Blackwell).

–. 1893. Grundgesetze der Arithmetik, bond I (Jena: Verlag Hermann Pohle). Книга была частично переведена в 1964 году и опубликована в Furth, M. (ред.). The Basic Laws of Arithmetic (Berkeley: University of California Press).

–. 1903. Grundgesetze der Arithmetik, bond II (Jena: Verlag Hermann Pohle).

Fritz, K. von. 1945. “The Discovery of Incommensurability by Hipposus of Metapontum.” Annals of Mathematics, 46, 242.

Frova, A., and Marenzana, M. 1998. Thus Spoke Galileo: The Great Scientist’s Ideas and Their Relevance to the Present Day. Перевод J. McManus, 2006 (Oxford: Oxford University Press).

Galilei, G. 1586. The Little Balance. In Galileo and the Scientific Revolution. Перевод L. Fermi и G. Bernardini. (New York: Basic Books). Это перевод Favaro, A. (ред.) 1890–1909. Le Opere di Galileo Galilei (Florence: G. Barbera).

–. Ca. 1600a. On Mechanics. Перевод S. Drake, 1960 (Madison: University of Wisconsin Press).

–. Ca. 1600b. On Motion. Перевод I. E. Drabkin, 1960 (Madison: University of Wisconsin Press).

–. 1610a. Sidereal Nuncius, or The Sidereal Messenger. Перевод A. Van Helden, 1989. (Chicago: University of Chicago Press).

–. 1610b. The Sidereal Messenger [Sidereus Nuncius]. В кн.: Drake, S. 1983. Telescopes, Tides and Tactics (Chicago: University of Chicago Press).

–. 1623. The Assayer [Il Saggiatore]. В кн.: The Controversy on the Comets of 1618. Перевод S. Drake и C. D. O’Malley, 1960 (Philadelphia: University of Pennsylvania Press).

–. 1632. Dialogue Concerning the Two Chief World Systems. Перевод S. Drake, 1967 (Berkeley: University of California Press).

–. 1638. Discourses on the Two New Sciences. Перевод S. Drake, 1974 (Madison: University of Wisconsin Press).

Garber, D. 1992. В кн.: Cottingham, J. (ред.) The Cambridge Companion to Descartes (Cambridge: Cambridge University Press).

Gardner, M. 2003. Are Universes Thicker than Blackberries? (New York: W. W. Norton).

Gaukroger, S. 1992. В кн.: Cottingham, J. (ред.) The Cambridge Companion to Descartes (Cambridge: Cambridge University Press).

–. 2002. Descartes’s System of Natural Philosophy (Cambridge: Cambridge University Press).

Gingerich, O. 1973. “Kepler, Johannes.” In Gillespie, C. C., ed. Dictionary of Scientific Biography, vol. 7 (New York: Scribners).

Girifalco, L. A. 2008. The Universal Force (Oxford: Oxford University Press).

Glaisher, J. W. L. 1888. Bicentenary Address, Cambridge Chronicle, April 20, 1888.

Gleick, J. 1987. Chaos: Making a New Science (New York: Viking).

–. 2003. Isaac Newton (New York: Vintage Books).

Glucker, J. 1978. Antiochus and the Late Academy, hypomnemata 56 (Göttingen: Vandenhoeck & Ruprecht).

Gödel, K. 1947. В кн. Benaceroff, P., and Putnam, H. (ред.) 1983. Philosophy of Mathematics: Selected Readings, 2nd ed. (Cambridge: Cambridge University Press).

Godwin, M., and Irvine, A. D. 2003. В кн.: Griffin, N. (ред.) The Cambridge Companion to Bertrand Russell (Cambridge: Cambridge University Press).

Goldstein, R. 2005. Incompleteness: The Proof and Paradox of Kurt Gödel (New York: W. W. Norton).

Gosling, J. C. B. 1973. Plato (London: Routledge & Kegan Paul).

Gott, J. R. 2001. Time Travel in Einstein’s Universe (Boston: Houghton Mifflin).

Grassi, O. 1619. Libra Astronomica ac Philosophica. В кн.: Drake, S., and O’Malley, C. D., пер. 1960.

The Controversy on the Comets of 1618 (Philadelphia: University of Pennsylvania Press).

Graunt, J. 1662. Natural and Political Observations Mentioned in a Following Index, and Made Upon the Bills of Mortality (London: Tho. Roycroft).

Gray, J. J. 2004. János Bolyai, Non-Euclidean Geometry, and the Nature of Space (Cambridge, Mass.: Burndy Library).

Grayling, A. C. 2005. Descartes: The Life and Times of a Genius (New York: Walker & Company).

Greenberg, M. J. 1974. Euclidean and Non-Euclidean Geometries: Development and History, 3rd ed. (New York: W. H. Freeman and Company).

Greene, B. 1999. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory (New York: W. W. Norton).

–. 2004. The Fabric of the Cosmos: Space, Time, and the Texture of Reality (New York: Alfred A. Knopf).

Gross, D. 1988. Proceedings of the National Academy of Sciences (USA), 85, 8371.

Guthrie, K. S. 1987. The Pythagorean Sourcebook and Library: An Anthology of Ancient Writings which Relate to Pythagoras and Pythagorean Philosophy (Grand Rapids, Mich.: Phanes Press).

Hald, A. 1990. A History of Probability and Statistics and Their Applications Before 1750 (New York: John Wiley & Sons).

Hall, A. R. 1992. Isaac Newton: Adventurer in Thought (Oxford: Blackwell). Допечатка в 1996 году (Cambridge: Cambridge University Press).

Hamilton, E., and Cairns, H. (ред.). 1961. The Collected Dialogues of Plato (New York: Pantheon).

Hamming, R. W. 1980. The American Mathematical Monthly, 87 (2), 81.

Hankins, F. H. 1908. Adolphe Quetelet as Statistician (New York: Columbia University).

Hardy, G. H. 1940. A Mathematician’s Apology (Cambridge: Cambridge University Press).

Havelock, E. 1963. Preface to Plato (Cambridge, Mass.: Harvard University Press).

Hawking, S. 2005. God Created the Integers: The Mathematical Breakthroughs that Changed History (Philadelphia: Running Press).

Hawking, S., ed. 2007. A Stubbornly Persistent Illusion: The Essential Scientific Writings of Albert Einstein (Philadelphia: Running Press).

Hawking, S., and Penrose, R. 1996. The Nature of Space and Time (Princeton: Princeton University Press).

Heath, T. L. 1897. The Works of Archimedes (Cambridge: Cambridge University Press).

–. 1921. A History of Greek Mathematics (Oxford: Clarendon Press). Репринт 1981 года (New York: Dover Publications).

Hedrick, P. W. 2004. Genetics of Populations (Sudbury, Mass.: Jones & Bartlett).

Heiberg, J. L. (ред.). 1910–1915. Archimedes Opera Omnio cum Commentariis Eutocii (Leipzig); греко-латинская билингва.

Hellman, H. 2006. Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever (Hoboken, N. J.: John Wiley & Sons).

Hermite, C. 1905. Correspondence d’Hermite et de Stieltjes (Paris: Gauthier-Villars).

Herodotus. 440 гг. до н. э. The History, book IV. Перевод D. Greve, 1988 (Chicago: University of Chicago Press).

Hersh, R. 2000. 18 Unconventional Essays on the Nature of Mathematics (New York: Springer).

Herz-Fischler, R. 1998. A Mathematical History of the Golden Number (Mineola, N. Y.: Dover Publications).

Hobbes, T. 1651. Leviathan. Репринт 1982 года (New York: Penguin Classics).

Hockett, C. F. 1960. Scientific American, 203 (September), 88.

Höffe, O. 1994. Immanuel Kant. Перевод M. Farrier (Albany, N. Y.: SUNY Press).

Hofstadter, D. 1979. Gödel, Escher, Bach: An Eternal Golden Braid (New York: Basic Books).

Holden, C. 2006. Science, 311, 317.

Huffman, C. A. 1999. В кн.: Long, A. A. (ред.). The Cambridge Companion to Early Greek Philosophy (Cambridge: Cambridge University Press).

–. 2006. “Pythagoras.” Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/pythagoras.

Hume, D. 1748. An Enquiry Concerning Human Understanding. Репринт 2000 в кн.: The Clarendon Edition of the Works of David Hume, под ред. T. L. Beauchamp (Oxford: Oxford University Press).

Iamblichus. Ca. 300 ADa. Iamblichus’ Life of Pythagoras. Перевод T. Taylor, 1986 (Rochester, Vt.: Inner Traditions).

–. Ca. 300 ADb. On the Pythagorean Life. Перевод J. Dillon, J. Hershbell. (Atlanta: Scholar Press).

Irvine, A. D. 2003. “Russell’s Paradox.” Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/russell-paradox.

Isaacson, W. 2007. Einstein: His Life and Universe (New York: Simon & Schuster).

Jaeger, M. 2002. The Journal of Roman Studies, 92, 49.

Jeans, J. 1930. The Mysterious Universe (Cambridge: Cambridge University Press).

Jones, V. F. R. 1985. Bulletin of the American Mathematical Society, 12, 103.

Joost-Gaugier, C. L. 2006. Measuring Heaven: Pythagoras and His Influence on Thought and Art in Antiquity and the Middle Ages (Ithaca: Cornell University Press).

Kaku, M. 2004. Einstein’s Cosmos (New York: Atlas Books).

Kant, I. 1781. Critique of Pure Reason. Один из многочисленных переводов на английский язык – Müller, F. M. 1881. Immanuel Kant’s Critique of Pure Reason (London: Macmillan).

Kaplan, M., and Kaplan, E. 2006. Chances Are: Adventures in Probability (New York: Viking).

Kapner, D. J., Cook, T. S., Adelberger, E. G., Gundlach, J. H., Heckel, B. R., Hoyle, C. D., and Swanson, H. E. 2007. Physical Review Letters, 98, 021101.

Kasner, E., and Newman, J. R. 1989. Mathematics and the Imagination (Redmond, Wash.: Tempus Books).

Kauffman, L. H. 2001. Knots and Physics, 3rd ed. (Singapore: World Scientific).

Keeling, S. V. 1968. Descartes (Oxford: Oxford University Press).

Kepler, J. 1981. Mysterium Cosmographicum (New York: Abaris Books).

–. 1997. The Harmony of the World (Philadelphia: American Philosophical Society).

Klessinger, N., Szczerbinski, M., and Varley, R. 2007. Neuropsychologia, 45, 1642.

Kline, M. 1967. Mathematics for Liberal Arts (Reading, Mass.: Addison-Wesley). Переиздана в 1985 году под названием Mathematics for the Nonmathematician (New York: Dover Publications).

–. 1972. Mathematical Thought from Ancient to Modern Times (Oxford: Oxford University Press).

Knott, C. G. 1911. Life and Scientific Work of Peter Guthrie Tait (Cambridge: Cambridge University Press).

Koyré, A. 1978. Galileo Studies. Перевод J. Mepham (Atlantic Highlands, N. J.: Humanities Press).

Kramer, M., Stairs, I. H., Manchester, R. N., et al. 2006. Science, 314 (5796), 97.

Krauss, L. 2005. Hiding in the Mirror: The Mysterious Allure of Extra Dimensions, from Plato to String Theory and Beyond (New York: Viking Penguin).

Kraut, R. 1992. The Cambridge Companion to Plato (Cambridge: Cambridge University Press).

Krüger, L. 1987. В кн.: Krüger, L., Daston, L. J., and Heidelberger, M. (ред). The Probabilistic Revolution (Cambridge, Mass.: The MIT Press).

Kuehn, M. 2001. Kant: A Biography (Cambridge: Cambridge University Press).

Laertius, D. Ca. 250 AD. Lives of Eminent Philosophers. Перевод R. D. Hicks, 1925 (Cambridge, Mass.: Harvard University Press).

Lagrange, J. 1797. Théorie des Fonctions Analytiques (Paris: Imprimerie de la Republique).

Lahanas, M. “Archimedes and his Burning Mirrors.” www.mlahanas.de/Greeks/Mirrors.htm.

Lakoff, G., and Núñez, R. E. 2000. Where Mathematics Comes From (New York: Basic Books).

Laplace, P. S., Marquis de. 1814. A Philosophical Essay on Probabilities. Перевод F. W. Truscot и F. L. Emory, 1902 (New York: John Wiley & Sons). Репринт 1995 года (Mineola, N. Y.: Dover).

Lecar, M., Franklin, F. A., Holman, M. J., and Murray, N. W. 2001. Annual Review of Astronomy and Astrophysics, 39, 581.

Lightman, A. 1993. Einstein’s Dreams (New York: Pantheon Books).

Little, C. N. 1899. Transaction of the Royal Society of Edinburgh, 39 (part III), 771.

Livio, M. 2002. The Golden Ratio: The Story of Phi, the World’s Most Astonishing Number (New York: Broadway Books).

–. 2005. The Equation That Couldn’t Be Solved (New York: Simon & Schuster).

Lottin, J. 1912. Quetelet: Staticien et Sociologue (Louvain: Institut Supérieur de Philosophie).

MacHale, D. 1985. George Boole: His Life and Work (Dublin: Boole Press Limited).

Machamer, P. 1998. В кн.: Machamer, P. (ред.). The Cambridge Companion to Galileo (Cambridge: Cambridge University Press).

Manning, H. P. 1914. Geometry of Four Dimensions (London: Macmillan). Репринт 1956 (New York: Dover Publications).

Maor, E. 1994. e: The Story of a Number (Princeton: Princeton University Press).

McMullin, E. 1998. В кн.: Machamer, P. (ред.). The Cambridge Companion to Galileo (Cambridge: Cambridge University Press).

Mekler, S., ed. 1902. Academicorum Philosophorum Index Herculanensis (Berlin: Weidmann).