Hilbert's Axiomatics as ‘Symbolic Form’?

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2014 Italy English Publisher:MIT Press - JournalsJournal:Perspectives on Science, volume 22, pages 1-34 (issn: 1063-6145, eissn: 1530-9274,

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Authors: LUPACCHINI, ROSSELLA;

doi: 10.1162/posc_e_00116

handle: 11588/862854 , 11585/229740

Hilbert's Axiomatics as ‘Symbolic Form’?

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Abstract

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.

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Italy

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Keywords

Axiomatic Method, Axiomatic Method; Formal System; Ideal Elements, Ideal Elements, Formal System

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