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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 2014-10-16
    Cian Dorr (2014). Review of The Construction of Logical Space by Agustín Rayo. [REVIEW] Notre Dame Philosophical Reviews 201406.
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  2. added 2014-10-10
    Emanuele Serrelli (forthcoming). Evolutionary Genetics and Cultural Traits in a 'Body of Theory' Perspective. In Fabrizio Panebianco & Emanuele Serrelli (eds.), Understanding cultural traits. A multidisciplinary perspective on cultural diversity. Springer.
    The chapter explains why evolutionary genetics – a mathematical body of theory developed since the 1910s – eventually got to deal with culture: the frequency dynamics of genes like “the lactase gene” in populations cannot be correctly modeled without including social transmission. While the body of theory requires specific justifications, for example meticulous legitimations of describing culture in terms of traits, the body of theory is an immensely valuable scientific instrument, not only for its modeling power but also for the (...)
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  3. added 2014-10-08
    Marion Haemmerli & Achille C. Varzi (2014). Adding Convexity to Mereotopology. In Pawel Garbacz & Oliver Kutz (eds.), Formal Ontology in Information Systems. Proceedings of the Eighth International Conference. IOS Press. 65–78.
    Convexity predicates and the convex hull operator continue to play an important role in theories of spatial representation and reasoning, yet their first-order axiomatization is still a matter of controversy. In this paper, we present a new approach to adding convexity to mereotopological theory with boundary elements by specifying first-order axioms for a binary segment operator s. We show that our axioms yields a convex hull operator h that supports, not only the basic properties of convex regions, but also complex (...)
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  4. added 2014-08-07
    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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  5. 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.
  6. 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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  7. 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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  8. 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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