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[268] Lothar Goettsche, “A Conjectural Generating Function for Numbers of Curves on Surfaces,” November II, 1997, arXiv.org, Cornell University archives, http://arxiv.org/PS_cache/alg-geom/pdf/9711/9711012vl.pdf.

[269] Ai-Ko Liu, “Family Blowup Formula, Admissible Graphs and the Enumeration of Singular Curves, I,” Journal of Differential Geometry 56 (2000): 381–579.

[270] Bong Lian (Brandeis University), interview with author, December 12, 2007.

[271] Michael Atiyah, “Pulling the Strings,” Nature 438 (December 22–29, 2005): 1,082.

[272] Glennda Chui, “Wisecracks Fly When Brian Greene and Lawrence Krauss Tangle Over String Theory,” Symmetry 4 (May 2007): 17–21.

[273] Sean Carroll, “String Theory: Not Dead Yet,” Cosmic Variance blog, Discover online magazine, May 24,2007, http://cosmicvariance.com.

[274] Edward Witten, quoted in Ê. C. Cole, “A Theory of Everything,” New York Times Magazine , October 18, 1987.

[275] Ibid.

[276] Alan Guth (MIT), interview with author, September 13, 2007.

[277] Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 261.

[278] Max Tegmark (MIT), interview with author, October 23, 2007.

[279] Faye Flam, “Getting Comfortable in Four Dimensions,” Science 266 (December 9, 1994): 1, 640.

[280] Cumrun Vafa (Harvard University), interview with author, January 19, 2007.

[281] Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.

[282] David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.

[283] Allan Adams (MIT), interview with author, May 23, 2008.

[284] Joe Polchinski (University of California, Santa Barbara), interview with author, August 31, 2007.

[285] Edward Witten (Institute for Advanced Study), e-mail letter to author, January 30, 2007.

[286] Adams, interview with author, May 23, 2008.

[287] Turnbull WWW Server, “Quotations by Gauss,” School of Mathematical Sciences, University of St. Andrews, St. Andrews, Fife, Scotland, February 2006, http://wwwgroups.dcs.st-and.ac.uk/-history/Quotations/Gauss.html.

[288] Ibid.

[289] Brian Greene, “String Theory on Calabi-Yau Manifolds,” lectures given at Theoretical Advanced Study Institute, 1996 session (TASI-96), Boulder, June 1996.

[290] Ê. C. Cole, “Time, Space Obsolete in New View of Universe,” Los Angeles Times , November 16, 1999.

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