Hilbert's Axiomatics as “Symbolic Form”? (2014)
Lupacchini, Rossella (Author)
Perspectives on Science
Volume: 22, no. 1
Issue: 1
Pages: 1-34
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.
...MoreDescription Contents:
Article Stillwell, John (2014) Ideal Elements in Hilbert's Geometry. Perspectives on Science (pp. 35-55).
Article Rédei, Miklós (2014) Hilbert's 6th Problem and Axiomatic Quantum Field Theory. Perspectives on Science (pp. 80-97).
Article Abrusci, V. Michele (2014) On Hilbert's Axiomatics of Propositional Logic. Perspectives on Science (pp. 115-132).
Article Sieg, Wilfried (2014) The Ways of Hilbert's Axiomatics: Structural and Formal. Perspectives on Science (pp. 133-157).
Article Majer, Ulrich (2014) The “Axiomatic Method” and Its Constitutive Role in Physics. Perspectives on Science (pp. 56-79).
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