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Main
Research Areas:
Philosophy of Mathematics and Logic; Philosophy of Science; History of Analytic Philosophy
Areas of Competence:
Mathematical Logic; Metaphysics and Epistemology
Other Areas of Interests:
Aesthetics; Philosophy of Music
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Short Description:
My research over the last 12-15 years has been concentrated in three related areas: the philosophy of mathematics (logicist and structuralist views, mathematical knowledge); the history and philosophy of logic (notions of completeness, the rise of metalogic); and early analytic philosophy (especially Frege, Wittgenstein, and Carnap, conceptions of analytic philosophy). During the last 5 years, I have also branched out into two other areas: the philosophy of science (theories of explanation, conceptual development); late 19th- and early 20th-century philosophy more generally (Cassirer, partly Husserl and Peirce). In my work, I tend to combine considerations of historical figures and developments with contributions to contemporary debates; I don't make a strict distinction between doing history of philosophy (or of logic, mathematics, and science) and doing philosophy itself. I am also often interested in connections between relatively narrow questions arising out of the exact sciences and broader questions about language, reasoning, and experience (revolving around the notions of objectivity, structure, infinity, analysis, explanation, understanding, and meaning). More on the side, I like to think about questions in aesthetics (the significance of asthetic judgments and the role of the imagination, in science, music, and everyday life).
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Current Research:
Articles:
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"Developments in Logic: Carnap, Gödel, and Tarski", for The Oxford Handbook of the History of Analytic Philosophy, M. Beaney, ed. (in progress)
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"Structuralism in the Philosophy of Mathematics", for The Stanford Encyclopedia of Philosophy, E. Zalta, main editor (in progress)
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"Cassirer, Dedekind, and the Structuralist Conception of Mathematics", journal article (in progress)
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"Dedekind versus Frege: Neo-Logicism in Historical Context", for The Historical Turn in Analytic Philosophy (in preparation)
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"Carnapian Explication and its Rivals", for conference Carnap's Ideal of Explication, IHPST, Paris, May 2009 (in preparation)
Edited Book:
- The Historical Turn in Analytic Philosophy, London: Palgrave Macmillan (in progress)
Monographs:
- Dedekind and the Structuralist Transformation of Modern Mathematics (in progress)
Textbook:
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And beyond:
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