Article ID: CBB001213908

Hilbert's Axiomatics as “Symbolic Form”? (2014)


Lupacchini, Rossella (Author)

Perspectives on Science
Volume: 22, no. 1
Issue: 1
Pages: 1-34

Publication Date: 2014
Edition Details: Introduction to a special issue, “Hilbert's Axiomatics---Geometry, Physics, Logic”
Language: English

According to Ernst Cassirer, symbolic forms are not different modes in which an independent reality manifests itself to the human spirit but roads which the spirit proceeds towards its objectivization, i.e., its self-revelation (1923, p. 78). Can Hilbert's axiomatics be viewed as a symbolic form? The aim of this introductory essay is to frame the question in a `map' and to provide a few signs to orient it. Each of the essays collected in this volume may contribute a different set of instructions to reach an answer.


Description Contents:

Includes Series Articles

Article Stillwell, John (2014) Ideal Elements in Hilbert's Geometry. Perspectives on Science (pp. 35-55). unapi

Article Rédei, Miklós (2014) Hilbert's 6th Problem and Axiomatic Quantum Field Theory. Perspectives on Science (pp. 80-97). unapi

Article Abrusci, V. Michele (2014) On Hilbert's Axiomatics of Propositional Logic. Perspectives on Science (pp. 115-132). unapi

Article Sieg, Wilfried (2014) The Ways of Hilbert's Axiomatics: Structural and Formal. Perspectives on Science (pp. 133-157). unapi

Article Majer, Ulrich (2014) The “Axiomatic Method” and Its Constitutive Role in Physics. Perspectives on Science (pp. 56-79). unapi

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Authors & Contributors
Majer, Ulrich
Sieg, Wilfried
Heijenoort, Jean van
Giaquinto, Marcus
Spaans, Joke
Kassell, Lauren
Perspectives on Science
Bulletin of the History of Medicine
History and Philosophy of Logic
Biology and Philosophy
Harvard University Press
Zone Books
Signs and symbols
Symbolism; symbolic representation
Formalization (philosophy)
Philosophy of mathematics
Hilbert, David
Frege, Gottlob
Leibniz, Gottfried Wilhelm von
Gödel, Kurt
Hooghe, Romeyn de
Leśniewski, Stanisław
Time Periods
20th century, early
19th century
20th century
17th century
18th century
Early modern

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