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John Burgess

Princeton University
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Princeton, New Jersey, United States of America
  •  243
    Charles Parsons. Mathematical thought and its objects
    Philosophia Mathematica 16 (3): 402-409. 2008.
    This long-awaited volume is a must-read for anyone with a serious interest in philosophy of mathematics. The book falls into two parts, with the primary focus of the first on ontology and structuralism, and the second on intuition and epistemology, though with many links between them. The style throughout involves unhurried examination from several points of view of each issue addressed, before reaching a guarded conclusion. A wealth of material is set before the reader along the way, but a revi…Read more
    Mathematical Intuition
  •  69
    Sets and Point-Sets: Five Grades of Set-Theoretic Involvement in Geometry
    PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988 456-463. 1988.
    The consequences for the theory of sets of points of the assumption of sets of sets of points, sets of sets of sets of points, and so on, are surveyed, as more generally are the differences among the geometric theories of points, of finite point-sets, of point-sets, of point-set-sets, and of sets of all ranks.
    Indispensability Arguments in Mathematics