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18Fading foundations in de wiskunde?Algemeen Nederlands Tijdschrift voor Wijsbegeerte 107 (2): 155-159. 2015.Amsterdam University Press is a leading publisher of academic books, journals and textbooks in the Humanities and Social Sciences. Our aim is to make current research available to scholars, students, innovators, and the general public. AUP stands for scholarly excellence, global presence, and engagement with the international academic community.
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Een korte repliek op mijn commentatorenAlgemeen Nederlands Tijdschrift voor Wijsbegeerte 102 (3): 206-211. 2010.
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The popularization of mathematics or the pop-music of the spheresCommunication and Cognition. Monographies 29 (2): 215-237. 1996.
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24Significs and mathematics: Creative and other subjectsSemiotica 2013 (196): 307-323. 2013.Journal Name: Semiotica - Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique Volume: 2013 Issue: 196 Pages: 307-323
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23Argumentation and Pseudoscience The Case for an Ethics ofArgumentationIn Massimo Pigliucci & Maarten Boudry (eds.), Philosophy of Pseudoscience: Reconsidering the Demarcation Problem, University of Chicago Press. 2013.
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Ontwerp voor een analytische filosofie van de eindigheidAlgemeen Nederlands Tijdschrift voor Wijsbegeerte 95 (1): 61-72. 2003.
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91The Contributions of Logic to the Foundations of Physics: Foreword (review)Studia Logica 95 (1-2): 1-3. 2010.
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30Foundations of Mathematics or Mathematical Practice: Is One Forced to Choose?Philosophica 43 (n/a). 1989.
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14Why I Am a Constructivist AtheistConstructivist Foundations 11 (1): 138-140. 2015.Open peer commentary on the article “Religion: A Radical-Constructivist Perspective” by Andreas Quale. Upshot: An essential feature of Quale’s point of view is the strict distinction between the cognitive and the non-cognitive. I argue that this position is untenable and hence that a radical constructivist can discuss religious matters
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54Dirk Van Dalen, mystic, geometer, and intuitionist. The life of L.e.J. Brouwer, volume 1: The dawning revolutionStudia Logica 74 (3): 469-471. 2003.
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15Review of T. Koetsier, Lakatos' Philosophy of Mathematics: A Historical Approach (review)Philosophia Mathematica 2 (2). 1994.
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6Philosophy of mathematics today/Evandro Agazzi en György Darvas (eds.).-Dordrecht: Kluwer Academic Publishers, 1997-(Episteme; 22) (review)Studia Logica: An International Journal for Symbolic Logic 65 (2): 275-278. 2000.
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70Review of C. Mortensen, Inconsistent Mathematics (review)Philosophia Mathematica 7 (2): 202-212. 1999.
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29Schoonheid in de wiskunde: Birkhoff revisitedTijdschrift Voor Filosofie 60 (1): 106-130. 1998.Everyone is familiar with the measure of beauty that has been proposed by Birkhoff, the famous formula M = O/C. Although I show that the formula in its original form cannot be maintained, I present a reinterpretation that adapts the formula for measuring the beauty of mathematical proofs. However, this type of measure is not the only aesthetic element in mathematics. There exists a 'romantic' side as well, to use the term introduced by François Le Lionnais. Thus, a more complex proposal of mathe…Read more
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68A Defense of Strict FinitismConstructivist Foundations 7 (2): 141-149. 2012.Context: Strict finitism is usually not taken seriously as a possible view on what mathematics is and how it functions. This is due mainly to unfamiliarity with the topic. Problem: First, it is necessary to present a “decent” history of strict finitism and, secondly, to show that common counterarguments against strict finitism can be properly addressed and refuted. Method: For the historical part, the historical material is situated in a broader context, and for the argumentative part, an evalua…Read more
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40Proofs and arguments: The special case of mathematicsPoznan Studies in the Philosophy of the Sciences and the Humanities 84 (1): 157-169. 2005.Most philosophers still tend to believe that mathematics is basically about producing formal proofs. A consequence of this view is that some aspects of mathematical practice are entirely lost from view. My contention is that it is precisely in those aspects that similarities can be found between practices in the exact sciences and in mathematics. Hence, if we are looking for a (more) unified treatment of science and mathematics it is necessary to incorporate these elements into our view of what …Read more
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Vrije Universiteit BrusselRegular Faculty
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Ghent UniversityRegular Faculty
Areas of Specialization
Logic and Philosophy of Logic |
Philosophy of Mathematics |