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  1. The Book of Nothing: Vacuums, Voids, and the Latest Ideas about the Origins of the Universe.John D. Barrow - 2009 - Vintage.
    What conceptual blind spot kept the ancient Greeks (unlike the Indians and Maya) from developing a concept of zero? Why did St. Augustine equate nothingness with the Devil? What tortuous means did 17th-century scientists employ in their attempts to create a vacuum? And why do contemporary quantum physicists believe that the void is actually seething with subatomic activity? You’ll find the answers in this dizzyingly erudite and elegantly explained book by the English cosmologist John D. Barrow. Ranging through mathematics, theology, (...)
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  • The Consolation of Philosophy.Anicius Manlius Severinus Boethius - 1957 - Cambridge, Mass.: Harvard University Press. Edited by David R. Slavitt.
    Composed while its author was imprisoned, this book remains one of Western literature’s most eloquent meditations on the transitory nature of earthly belongings, and the superiority of things of the mind. Slavitt’s translation captures the energy and passion of the original. And in an introduction intended for the general reader, Seth Lerer places Boethius’s life and achievement in context.
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  • Philosophy of mathematics: selected readings.Paul Benacerraf & Hilary Putnam (eds.) - 1983 - New York: Cambridge University Press.
    The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, (...)
  • Thinking, Fast and Slow.Daniel Kahneman - 2011 - New York: New York: Farrar, Straus and Giroux.
    In the international bestseller, Thinking, Fast and Slow, Daniel Kahneman, the renowned psychologist and winner of the Nobel Prize in Economics, takes us on a groundbreaking tour of the mind and explains the two systems that drive the way we think. System 1 is fast, intuitive, and emotional; System 2 is slower, more deliberative, and more logical. The impact of overconfidence on corporate strategies, the difficulties of predicting what will make us happy in the future, the profound effect of cognitive (...)
  • The ritual origin of counting.A. Seidenberg - 1962 - Archive for History of Exact Sciences 2 (1):1-40.
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  • The ritual origin of geometry.A. Seidenberg - 1961 - Archive for History of Exact Sciences 1 (5):488-527.
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  • Analysis without actual infinity.Jan Mycielski - 1981 - Journal of Symbolic Logic 46 (3):625-633.
    We define a first-order theory FIN which has a recursive axiomatization and has the following two properties. Each finite part of FIN has finite models. FIN is strong enough to develop that part of mathematics which is used or has potential applications in natural science. This work can also be regarded as a consistency proof of this hitherto informal part of mathematics. In FIN one can count every set; this permits one to prove some new probabilistic theorems.
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  • Mathematics has a front and a back.Reuben Hersh - 1991 - Synthese 88 (2):127 - 133.
    It is explained that, in the sense of the sociologist Erving Goffman, mathematics has a front and a back. Four pervasive myths about mathematics are stated. Acceptance of these myths is related to whether one is located in the front or the back.
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  • Georg Cantor and Pope Leo XIII: Mathematics, Theology, and the Infinite.Joseph W. Dauben - 1977 - Journal of the History of Ideas 38 (1):85-108.
  • Consciousness, Philosophy, and Mathematics.L. E. J. Brouwer - 1949 - Journal of Symbolic Logic 14 (2):132-133.
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  • Systematic Theology: Volume 1: The Triune God.Robert W. Jenson - 1997 - Oxford University Press USA.
    Systematic Theology is the capstone of Robert Jenson's long and distinguished career as a theologian, being a full-scale systematic/dogmatic theology in the classic format. The two volumes are dedicated to the service of the one church of the creeds, and not to any particular denomination.
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  • Systematic Theology: Volume 1: The Triune God.Robert W. Jenson - 1997 - Oxford University Press USA.
    "...this two-volume systematic theology is a great achievement. Drawn from learning that is both vast and profound, the rich details and frequently exciting flashes of insight provided by this work confirm the stature of Robert Jenson among contemporary theologians..."--First Things.
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  • Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939.Ludwig Wittgenstein - 1975 - Chicago: University of Chicago Press. Edited by R. G. Bosanquet & Cora Diamond.
    Notes taken by these last four are the basis for the thirty-one lectures in this book.
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  • How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics.William Byers - 2010 - Princeton University Press.
    "--David Ruelle, author of "Chance and Chaos" "This is an important book, one that should cause an epoch-making change in the way we think about mathematics.
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  • [Correspondance].E. Murisier & Emile Borel - 1902 - Revue Philosophique de la France Et de l'Etranger 53 (2):343 - 344.
  • Philosophy of mathematics, selected readings.Paul Benacerraf & Hilary Putnam - 1966 - Revue Philosophique de la France Et de l'Etranger 156:501-502.
     
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  • Consciousness, Philosophy and Mathematics.L. E. J. Brouwer - 1949 - In E. W. Beth, H. J. Pos & H. J. A. Hollak (eds.), Library of the Tenth International Congress in Philosophy, August 1948. North-Holland. pp. 1235--1249.
  • Consciousness, Philosophy, and Mathematics.L. E. J. Brouwer - 1949 - Proceedings of the Tenth International Congress of Philosophy 2:1235-1249.
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