Adventures of the diagonal: Non-Euclidean mathematics and narrative

Circles Disturbed: The Interplay of Mathematics and Narrative

Volumn , Issue , 2012, Pages 407-446

  Plotnitsky, Arkady ^a  

^a PURDUE UNIVERSITY   (United States)

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EID: 84884057225     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (24)

1. Alexander, Amir. 2010. Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics. Cambridge, MA: Harvard University Press.
2. Berthoz, A. 2000. The Brain's Sense of Movement, trans. G. Weiss. Cambridge, MA: Harvard University Press.
3. Blanchot, Maurice.1993. The Infinite Conversation, trans. Susan Hanson. Minneapolis, MN: University of Minnesota Press.
4. Blanchot. 1986. The Writing of the Disaster, trans. Ann Smock. Lincoln, NE: University of Nebraska Press.
5. Bohr, Niels. 1987. The Philosophical Writings of Niels Bohr, 3 vols. Woodbridge, CT.: Ox Bow Press.
6. Cohen, Paul J. 2008. Set Theory and the Continuum Hypothesis. New York: Dover.
7. Euclid. 1989. The Thirteen Books of Euclid's Elements, ed. Thomas Heath, 3 vols. New York: Dover.
8. Gauss, Carl Friedrich. 1863-. Beiträge zur Theorie der algebraischen Gleichingen[Contributions to the theory of algebraic equations], Werke III. Herausgegeben von der K. Gesellschaft der Wissenschaften zu Göttingen. Göttingen: Deiterichsche Universitätsdruckerei (W. F. Kaestner).
9. Gray, Jeremy. 2008. Plato's Ghost: The Modernist Transformation of Mathematics. Princeton, NJ: Princeton University Press.
10. Heisenberg, Werner. 1930. The Physical Principles of the Quantum Theory, trans. K. Eckhart and F. C. Hoyt. New York: Dover; reprint 1949.
11. Kant, Immanuel. 1997. Critique of Pure Reason, trans. Paul Guyer and Allen W. Wood. Cambridge: Cambridge University Press.
12. Langlands, Robert P. 1990. "Representation Theory," in Proceedings of the Gibbs Symposium, Yale University, 1989, ed. G. G. Caldi and George D. Mostow. Providence, RI: American Mathematical Society.
13. Laugwitz, Detlef. 1999. Bernhard Riemann: Turnings Points in the Conception of Mathematics, trans. Abe Shenitzer. Boston, MA: Birkhäuser.
14. Leibniz, Gottfried Wilhelm. 1890. Mathematische Schriften, ed. C. I. Gerhard. Berlin: Weidman.
15. Llinás, Rodolfo. 2002. I of the Vortex: From Neurons to Self. Cambridge, MA: MIT Press.
16. Lyotard, Jean-François. 1979. The Postmodern Condition: A Report on Knowledge, tr. G. Bennington and B. Massumi . Minneapolis, MN: University of Minnesota Press.
17. Nietzsche, Friedrich. 1967. The Birth of Tragedy and the Case of Wagner, trans. Walter Kaufmann. New York: Vintage.
18. Plotnitsky, Arkady. 2001. "Chaosmic Orders: Nonclassical Physics, Allegory, and the Epistemology of Blake's Minute Particulars." Romantic Circles Practice Series, http://www.rc.umd.edu/praxis/complexity/plotnitsky/plotnitsky.html
19. Plotnitsky. 2002. The Knowable and the Unknowable: Modern Science, Nonclassical Thought, and the "Two Cultures." Ann Arbor, MI: University of Michigan Press.
20. Remmert, Reinhold. 1990. "Complex Numbers." In Numbers, ed. Heinz-Dieter Ebbinghaus et al. New York: Springer-Verlag, 58.
21. Riemann, Bernhard. 2004. "The Hypotheses on Which Geometry Is Based." In Collected Papers, trans. Roger Baker, Charles Christenson, and Henry Orde. Heber City, UT: Kendrick Press.
22. Waismann, Friedrich. 1951. Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics, trans. Theodore J. Benac. New York: Friedrich Ungar.
23. Weil, André. 1976. Elliptic Functions According to Eisenstein and Kronecker. Berlin: Springer-Verlag, reprint 1998.
24. Weyl, Hermann. 1918. The Continuum: A Critical Examination of the Foundations of Analysis, trans. Stephen Pollard and Thomas Bole. New York: Dover; reprint 1994.