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| History and Philosophy of Mathematics |
- Research project: Geometry and Logic from Pasch to Hilbert.
Funded by SSHRC (Standard Research Grant), with Michael Hallett.
- Member of PhiMSAMP:
Philosophy of Mathematics: Sociological Aspects and Mathematical Practice
(Philosophie der Mathematik: Soziologische Aspekte und Mathematische
Praxis). "Scientific Network", German Research Foundation (DFG).
- Collaborator on David Hilbert's Lectures on the Foundations
of Mathematics and Physics, 1891 to 1933. Volume 3: David Hilbert's
Lectures on the Foundations of Arithmetic and Logic, 1917-1933.
Edited by William Ewald, Michael Hallett, Wilfried Sieg, and Ulrich Majer.
- Translator of papers on philosophy of mathematics by Paul
Bernays (Bernays Project).
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| Philosophy of Science |
- Analogical reasoning
- The use of models in scientific practice
- Aspects of theory construction: Clark L. Hull's philosophy of science
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| Early Analytic Philosophy |
- Co-Editor of The
Collected Works of Rudolf Carnap Project.
German editor for
"Abriss der Logistik" (1929) and "Die logische Syntax der Sprache"
(1934).
Funded by SSHRC (Standard Research Grant), with Richard Zach (PI).
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| Cognitive science |
- Learning the group structure with neural networks
- Computing with Roman numerals
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| Dissertation |
- Axiomatics as Engine for Driving Discovery in Mathematics and Science (Summary)
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© 4/26/08 |