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Teunis Koetsier

VU University Amsterdam
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Amsterdam, North Holland, Netherlands
Areas of Interest
Philosophy of Mind
Logic and Philosophy of Logic
Philosophy of Mathematics
  •  288
    On some paradoxes of the infinite
    with Victor Allis
    British Journal for the Philosophy of Science 42 (2): 187-194. 1991.
    In the paper below the authors describe three super-tasks. They show that although the abstract notion of a super-task may be, as Benacerraf suggested, a conceptual mismatch, the completion of the three super-tasks involved can be defined rather naturally, without leading to inconsistency, by means of a particular kinematical interpretation combined with a principle of continuity
    ParadoxesLiar Paradox
  •  19
    Erhard Scholz. Symmetrie, Gruppe, Dualität: Zur Beziehung zwischen theoretischer Mathematik und Anwendungen in Kristallographie und Baustatik des 19 Jahrhunderts. Basel, Boston, Berlin: Birkhäuser, 1989. Pp. 406. ISBN 3-7643-1974-7. SFr. 84.00 (review)
    British Journal for the History of Science 24 (2): 265-266. 1991.
  •  27
    Lakatos' philosophy of mathematics: a historical approach
    Distributors for the U.S. and Canada, Elsevier Science Pub. Co.. 1991.
    In this book, which is both a philosophical and historiographical study, the author investigates the fallibility and the rationality of mathematics by means of rational reconstructions of developments in mathematics. The initial chapters are devoted to a critical discussion of Lakatos' philosophy of mathematics. In the remaining chapters several episodes in the history of mathematics are discussed, such as the appearance of deduction in Greek mathematics and the transition from Eighteenth-Centur…Read more
    Philosophy of Mathematics, MiscImre Lakatos