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Philosophy of Mathematics

Edited by Øystein Linnebo (Birkbeck College)
Assistant editor: Sam Roberts (Birkbeck College, University of Oslo)
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  1. added 2014-08-08
    Christopher Menzel (forthcoming). Problems with the Bootstrapping Objection to Theistic Activism. American Philosophical Quarterly.
    According to traditional theism, God alone exists a se, independent of all other things, and all other things exist ab alio, i.e., God both creates them and sustains them in existence. On the face of it, divine "aseity" is inconsistent with classical Platonism, i.e., the view that there are objectively existing, abstract objects. For according to the classical Platonist, at least some abstract entities are wholly uncreated, necessary beings and, hence, as such, they also exist a se. The thesis of (...)
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  2. added 2014-08-01
    Juliet Floyd (1995). On Saying What You Really Want to Say: Wittgenstein, Gödel and the Trisection of the Angle. In Jaakko Hintikka (ed.), From Dedekind to Gödel: The Foundations of Mathematics in the Early Twentieth Century, Synthese Library Vol. 251 (Kluwer Academic Publishers. 373-426.
  3. added 2014-07-31
    André Porto & Luiz Carlos Pereira (2003). Considerações sobre a Noção Construtiva de Verdade. Philósophos - Revista de Filosofia 17:107-123.
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  4. added 2014-07-28
    Émilie du Châtelet & Lydia Patton (2014). On the Divisibility and Subtlety of Matter. In L. Patton (ed.), Philosophy, Science, and History. Routledge. 332-42.
    Translation for this volume by Lydia Patton of Chapter 9 (pages 179-200) of Émilie du Châtelet's Institutions de Physique (Foundations of Physics). Original publication date 1750. Paris: Chez Prault Fils.
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  5. added 2014-07-28
    Stephen Puryear (2014). Finitism and the Beginning of the Universe. Australasian Journal of Philosophy:1-11.
    Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the two (...)
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  6. added 2014-07-23
    Steven M. Duncan, Platonism by the Numbers.
    In this paper, I defend traditional Platonic mathematical realism from its contemporary detractors, arguing that numbers, understood as abstract, non-physical objects of rational intuition, are indispensable for the act of counting.
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  7. added 2014-07-23
    Alejandro Pérez Carballo (2014). Structuring Logical Space. Philosophy and Phenomenological Research 89 (2).
  8. added 2014-07-19
    Sean Walsh, Eleanor Knox & Adam Caulton (2014). Critical Review of Mathematics and Scientific Representation. [REVIEW] Philosophy of Science 81 (3):460-469.
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