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Teun Koetsier [5]T. Koetsier [2]Teunis Koetsier [1]
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Profile: Teunis Koetsier (VU University Amsterdam)
  1. Teun Koetsier (2011). Routes of Learning: Highways, Pathways and Byways in the History of Mathematics. History and Philosophy of Logic 31 (3):293-295.
  2. Tjeerd B. Jongeling & Teun Koetsier (2002). Blindspots, Self-Reference and the Prediction Paradox. Philosophia 29 (1-4):377-391.
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  3. Teun Koetsier & Victor Allis (1997). Assaying Supertasks. Logique Et Analyse 159:291-313.
     
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  4. Victor Allis & Teun Koetsier (1995). On Some Paradoxes of the Infinite II. British Journal for the Philosophy of Science 46 (2):235-247.
    In an earlier paper the authors discussed some super-tasks by means of a kinematical interpretation. In the present paper we show a semi-formal way that a more abstract treatment is possible. The core idea of our approach is simple: if a super-task can be considered as a union of (finite) tasks, it is natural to define the effect of the super-task as the union of the effects of the finite tasks it consists of. We show that this approach enables us (...)
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  5. T. Koetsier (1995). Explanation in the Historiography of Mathematics: The Case of Hamilton's Quaternions. Studies in History and Philosophy of Science Part A 26 (4):593-616.
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  6. Bas Jongeling & Teun Koetsier (1993). A Reappraisal of the Hangman Paradox. Philosophia 22 (3-4):299-311.
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  7. Victor Allis & Teunis Koetsier (1991). On Some Paradoxes of the Infinite. British Journal for the Philosophy of Science 42 (2):187-194.
    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.
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  8. T. Koetsier (1991). Lakatos' Philosophy of Mathematics: A Historical Approach. Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
    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-Century to Nineteenth-Century analysis. The author aims at developing a notion (...)
     
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