HILBERT, DUALITY, AND THE GEOMETRICAL ROOTS OF MODEL THEORY

DOI10.1017/S1755020317000260OpenAlexW2777963598MaRDI QIDQ4637948

Georg Schiemer, Günther Eder

Publication date: 3 May 2018

Published in: The Review of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1755020317000260

zbMATH Keywords

Hilberthistory of geometrymodern axiomaticshistory of model theoryearly metatheory

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05)

Related Items (5)

PROJECTIVE DUALITY AND THE RISE OF MODERN LOGIC ⋮ H.S.M. Coxeter's theory of accessibility: from Mario Pieri to Marvin Greenberg ⋮ Frege on intuition and objecthood in projective geometry ⋮ A competent translation/a pitiful bungle: \textit{The foundations of geometry} ⋮ Frege and the origins of model theory in nineteenth century geometry

Cites Work

• What is the axiomatic method?
• Bridging the gap between analytic and synthetic geometry: Hilbert's axiomatic approach
• On the development of the model-theoretic viewpoint in logical theory
• The geometry of an art. The history of the mathematical theory of perspective from Alberti to Monge
• ON THE RELATIONSHIP BETWEEN PLANE AND SOLID GEOMETRY
• Frege’s Conception of Logic
• Worlds Out of Nothing
• David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933
• PASCH’S PHILOSOPHY OF MATHEMATICS
• The Ways of Hilbert's Axiomatics: Structural and Formal
• Logic in the 1930s: type theory and model theory
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