Article ID: CBB001214153

Hilbert's Objectivity (2014)

unapi

Pattona, Lydia (Author)


Historia Mathematica
Volume: 41, no. 2
Issue: 2
Pages: 188-203

reads Hilbert's program as a sophisticated defense of instrumentalism, but has it that Hilbert's program leaves significant ontological questions unanswered. One such question is of the reference of individual number terms. Hilbert's use of admittedly meaningless signs for numbers and formulae appears to impair his ability to establish the reference of mathematical terms and the content of mathematical propositions (). The paper traces the history and context of Hilbert's reasoning about signs, which illuminates Hilbert's account of mathematical objectivity, axiomatics, idealization, and consistency.

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Citation URI
https://data.isiscb.org/isis/citation/CBB001214153/

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Authors & Contributors
Sieg, Wilfried
Rowe, David E.
Corry, Leo
Olga Hoppe-Kondrikova
Verburgt, Lukas M.
Stillwell, John
Concepts
Mathematics
Logic
Formalization (philosophy)
Geometry
Philosophy of mathematics
Physics
Time Periods
20th century, early
19th century
20th century
Places
Germany
Italy
China
Paris (France)
Institutions
Universität Göttingen
Göttingen. Universität
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