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  1. Karen François, Benedikt Löwe, Thomas Müller & Bart van Kerkhove (eds.) (forthcoming). Foundations of the Formal Sciences VII, Studies in Logic. College Publications.
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  2. Bart Van Kerkhove (2012). Whitehead Ou Le Cosmos Torrentiel [Whitehead or the Torrential Cosmos]. Process Studies 39 (2):356-358.
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  3. Bart Van Kerkhove (2010). The Philosophy of Mathematical Practice. International Studies in the Philosophy of Science 24 (1):118 – 122.
    This title offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.
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  4. Bart Van Kerkhove, Jean Paul Van Bendegem & Jonas De Vuyst (eds.) (2010). Philosophical Perspectives on Mathematical Practice. College Publications.
  5. Jean Paul van Bendegem & Bart van Kerkhove (2009). Mathematical Arguments in Context. Foundations of Science 14 (1-2):45-57.
    Except in very poor mathematical contexts, mathematical arguments do not stand in isolation of other mathematical arguments. Rather, they form trains of formal and informal arguments, adding up to interconnected theorems, theories and eventually entire fields. This paper critically comments on some common views on the relation between formal and informal mathematical arguments, most particularly applications of Toulmin’s argumentation model, and launches a number of alternative ideas of presentation inviting the contextualization of pieces of mathematical reasoning within encompassing bodies of (...)
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  6. Bart Van Kerkhove (2009). Boekbesprekingen/Comptes Rendus. Studium 4:223-243.
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  7. Bart Van Kerkhove (ed.) (2009). New Perspectives on Mathematical Practices: Essays in Philosophy and History of Mathematics. [REVIEW] World Scientific.
    This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics.
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  8. Bart Van Kerkhove & Jean Paul Van Bendegem (2008). Pi on Earth, or Mathematics in the Real World. Erkenntnis 68 (3):421-435.
    We explore aspects of an experimental approach to mathematical proof, most notably number crunching, or the verification of subsequent particular cases of universal propositions. Since the rise of the computer age, this technique has indeed conquered practice, although it implies the abandonment of the ideal of absolute certainty. It seems that also in mathematical research, the qualitative criterion of effectiveness, i.e. to reach one’s goals, gets increasingly balanced against the quantitative one of efficiency, i.e. to minimize one’s means/ends ratio. Our (...)
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  9. Bart Van Kerkhove (2006). Mathematical Naturalism: Origins, Guises, and Prospects. [REVIEW] Foundations of Science 11 (1-2):5-39.
    During the first half of the twentieth century, mainstream answers to the foundational crisis, mainly triggered by Russell and Gödel, remained largely perfectibilist in nature. Along with a general naturalist wave in the philosophy of science, during the second half of that century, this idealist picture was finally challenged and traded in for more realist ones. Next to the necessary preliminaries, the present paper proposes a structured view of various philosophical accounts of mathematics indebted to this general idea, laying the (...)
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  10. Bart Van Kerkhove, Jean Paul Van Bendegem & Sal Restivo (2006). Introduction to the Special Issue Entitled 'Mathematics: What Does It All Mean?'. [REVIEW] Foundations of Science 11 (1-2):1-3.
  11. Bart Van Kerkhove & Jean Paul Van Bendegem (2005). Mathematical Practice and Naturalist Epistemology: Structures with Potential for Interaction. Philosophia Scientiae 9 (2).
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  12. Bart van Kerkhove (2004). Review of B. Heintz, Die Innenwelt der Matheznatik. Zur Kultur Und Praxis Einer Beweisenden Disziplin. [The Inner World of Mathematics. On the Culture and Practice of a Proof-Based Discipline.]. [REVIEW] Philosophia Mathematica 12 (1):75-78.
  13. Bart Van Kerkhove (2004). Editorial Introduction. Philosophica 74.
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  14. Bart Van Kerkhove (2004). Review of Heintz (2000). [REVIEW] Philosophia Mathematica 3 (12):1.
     
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  15. Bart Van Kerkhove & Hans Comijn (2004). The Importance of Being Externalist About Mathematics - One More Turn? Philosophica 74.
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  16. Bart Van Kerkhove (2003). Vagueness Unlimited: In Defence of a Pragmatical Approach to Sorites Paradoxes. Logic and Logical Philosophy 11:251-276.
    As far as ‘modern’ logical theories of vagueness are concerned, a main distinction can be drawn between ‘semantical’ ones and ‘pragmatical’ ones. The latter are defended here, because they tend to retake into account important contextual dimensions of the problem abandoned by the former. Their inchoate condition seems not alarming, since they are of surprisingly recent date. This, however, could very well be an accidental explanation. That is, the true reason for it might sooner or later turn out to be (...)
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  17. Bart Van Kerkhove & Guido Vanackere (2003). Vagueness-Adaptive Logic: A Pragmatical Approach to Sorites Paradoxes. Studia Logica 75 (3):383-411.
    This paper defends a pragmatical approach to vagueness. The vagueness-adaptive logic VAL is a good reconstruction of and an excellent, instrument for human reasoning processes in which vague predicates are involved. Apart from its proof-theory and semantics, a Sorites-treating model based on it is presented, disarming the paradox. The paper opens perspectives with respect to the construction of theories by means of vague predicates.
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  18. Bart Van Kerkhove & Erik Myin (2002). Direct Perception in Mathematics: A Case for Episemological Priority. Logique Et Analyse 45 (179-180):357-72.
     
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