Current research projects

• Philosophy of notation
  — Logical notations
• Empiricism in mathematics
• History and philosophy of geometry
  — Geometric reasoning in the 19th century
• Pasch's philosophy of mathematics
  — Pasch and Klein on the role of intuition in proofs
  — Pasch's views on logic
• Mathematical cognition
  — Numeral systems
  

Current editorial projects

• Paul Bernays:
  Editor and translator of papers on philosophy of mathematics by Paul Bernays (Bernays Project).
• Rudolf Carnap:
  — Editor (with E. Reck and G. Schiemer) of volume 3, Pre-Syntax Logic 1927-1934, of The Collected Works of Rudolf Carnap.
  — Editor (with Warren Goldfarb) of volume 5, Logical Syntax of Language, of The Collected Works of Rudolf Carnap.
• David Hilbert:
  — Editor, David Hilbert's Lectures on the Foundations of Mathematics and Physics, 1891 to 1933. Volume 2: David Hilbert's Lectures on the Foundations of Arithmetic and Logic. Edited by William Ewald, Michael Hallett, Wilfried Sieg, and Ulrich Majer.
• Moritz Pasch:
  — Weierstrass' lectures on analytic functions (1865/66). With Rachel Rudolph.
  — Lectures on Modern Geometry (1882/1926) (translation).
  — On the educational value of mathematics (1894) (translation).

Other

• My Erdös number (Collaboration Distance to Paul Erdös) is at most 3 (July 2016).
• Co-founder of the Montreal Inter-University Workshop on History and Philosophy of Mathematics.
• Member of the McGill Research Group on History and Philosophy of Mathematics.
• External Member of the Munich Center for Mathematical Philosophy (MCMP), Ludwig-Maximilians-Universität, Munich.

• Research Keywords: Analogical reasoning, axiomatics, Bernays, Carnap, Dedekind, discovery, Hilbert, history of algebra, history of geometry, history of logic, neural networks, mathematical practice, model-based reasoning, notations, numeral systems, Pasch, Roman numerals.

Links to related associations, societies, etc.

History and Philosophy of Mathematics:

• Association for the Philosophy of Mathematical Practice (APMP)
• Canadian Society for History and Philosophy of Mathematics (CSHPM)
• Association of Symbolic Logic (ASL)
• Philosophy of Mathematics Association (PMA)
• Practice and Cultures of Mathematics

History and Philosophy of Science:

• Canadian Society for History and Philosophy of Science (CSHPS)
• International Society for the History of Philosophy of Science (HOPOS)
• Philosophy of Science Association (PSA)

Philosophy:

• American Philosophical Association (APA)
• Canadian Philosophical Association (CPA)

Cognitive Science:

• Cognitive Science Society (CSS)