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5Føllesdal and Frege on ReferenceIn Michael Frauchiger (ed.), Reference, Rationality, and Phenomenology: Themes from Føllesdal, De Gruyter. pp. 259-280. 2013.
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4Chapter Five. IntuitionismIn Philosophy of Mathematics, Princeton University Press. pp. 73-87. 2017.
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4Chapter Nine. Abstraction ReconsideredIn Philosophy of Mathematics, Princeton University Press. pp. 126-138. 2017.
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4Logic and PluralsIn Kirk Ludwig & Marija Jankovic (eds.), The Routledge Handbook of Collective Intentionality, Routledge. pp. 451-463. 2018.This chapter provides an overview of the philosophical and linguistic debate about the logic of plurals. We present the most prominent singularizing analyses of plurals as well as the main criticisms that such analyses have received. We then introduce an alternative approach to plurals known as plural logic, focusing on the question whether plural logic can count as pure logic.
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3Chapter Eleven. StructuralismIn Philosophy of Mathematics, Princeton University Press. pp. 154-169. 2017.
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3Thin ObjectsIn Alexander Hieke & Hannes Leitgeb (eds.), Reduction, abstraction, analysis: proceedings of the 31th International Ludwig Wittgenstein-Symposium in Kirchberg, 2008, De Gruyter. pp. 227-238. 2009.
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2Chapter Two. Frege’s LogicismIn Philosophy of Mathematics, Princeton University Press. pp. 21-37. 2017.
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1Plural quantificationIn Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy, The Metaphysics Research Lab. 2014.
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1Against Limitation of SizeThe Baltic International Yearbook of Cognition, Logic and Communication 1. 2005.
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Modality in mathematicsIn Otávio Bueno & Scott A. Shalkowski (eds.), The Routledge Handbook of Modality, Routledge. 2018.
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Putnam on Mathematics as Modal LogicIn John Burgess (ed.), Hilary Putnam on Logic and Mathematics, Springer Verlag. 2018.Two uses of modal logic to explicate mathematics—due primarily to Hilary Putnam and Charles Parsons—are compared and contrasted. The approaches differ both technically and concerning ontology. Some reasons to push the former approach in the direction of the latter are articulated and discussed.
Oslo, Norway
Areas of Specialization
3 more
Science, Logic, and Mathematics |
Logic and Philosophy of Logic |
Philosophy of Mathematics |
Metaphysics |
Ontology |
Metaontology |
Modality |
Gottlob Frege |
Areas of Interest
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PhilPapers Editorships
Philosophy of Mathematics |