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Edward Nelson

University of Houston
  •  Home
  •  Publications
    4
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 More details
  • University of Houston
    Department of Philosophy
    Graduate student
Houston, Texas, United States of America
Areas of Interest
Philosophy of Language
Logic and Philosophy of Logic
Philosophy of Computing and Information
General Philosophy of Science
  • All publications (4)
  •  46
    Warning signs of a possible collapse of contemporary mathematics
    In Michał Heller & W. H. Woodin (eds.), Infinity: new research frontiers, Cambridge University Press. pp. 76. 2011.
    Philosophy of Mathematics, Miscellaneous
  •  2
    Part II. Perspectives on infinity from mathematics : 2. The mathematical infinity / Enrico Bombieri ; 3. Warning signs of a possible collapse of contemporary mathematics (review)
    In Michał Heller & W. H. Woodin (eds.), Infinity: new research frontiers, Cambridge University Press. 2011.
    The Infinite
  •  200
    Mathematics and the mind
    In Kunio Yasue, Mari Jibu & Tarcisio Della Senta (eds.), No Matter, Never Mind: Proceedings of Toward a Science of Consciousness: Fundamental Approaches (Tokyo '99), John Benjamins. pp. 731-737. 2002.
    Gödelian Arguments Against AIGodel's Theorem
  •  36
    Infinity: new research frontiers (edited book)
    with Rudy Rucker, Wolfgang Achtner, Enrico Bombieri, W. Hugh Woodin, and Harvey M. Friedman
    Cambridge University Press. 2011.
    'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for huma…Read more
    'The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.' David Hilbert (1862-1943). This interdisciplinary study of infinity explores the concept through the prism of mathematics and then offers more expansive investigations in areas beyond mathematical boundaries to reflect the broader, deeper implications of infinity for human intellectual thought. More than a dozen world-renowned researchers in the fields of mathematics, physics, cosmology, philosophy, and theology offer a rich intellectual exchange among various current viewpoints, rather than a static picture of accepted views on infinity. The book starts with a historical examination of the transformation of infinity from a philosophical and theological study to one dominated by mathematics. It then offers technical discussions on the understanding of mathematical infinity. Following this, the book considers the perspectives of physics and cosmology: Can infinity be found in the real universe? Finally, the book returns to questions of philosophical and theological aspects of infinity"--Provided by publisher.
    The Infinite
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