Von Neumann's methodology of science: From incompleteness theorems to later foundational reflections

Perspectives on Science 18 (4):480-499 (2010)
Describing the methodology of a prominent mathematician can be an over-ambitious task, especially if the mathematician in question has made crucial contributions to almost the whole of mathematical science. John von Neumann’s case study falls within this category. Nonetheless, we can still provide a clear picture of von Neumann’s methodology of science. Recent literature has clarified its key feature—the opportunistic approach to axiomatics—and has laid out its main principles. To be honest, this work can hardly be superseded. What I would like to do is to complete the picture by adding one more step and emphasizing a point so far neglected, namely the role of Hilbert’s ideal in von Neumann’s epistemology. Von ..
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DOI 10.1162/POSC_a_00019
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Hao Wang (1981). Some Facts About Kurt Gödel. Journal of Symbolic Logic 46 (3):653-659.
John W. Dawson (1984). Discussion on the Foundation of Mathematics. History and Philosophy of Logic 5 (1):111-129.

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