Is Geometry Analytic?

Dianoia 1 (4):66 - 78 (2017)
  Copy   BIBTEX

Abstract

In this paper I present critical evaluations of Ayer and Putnam's views on the analyticity of geometry. By drawing on the historico-philosophical work of Michael Friedman on the relativized apriori; and Roberto Torretti on the foundations of geometry, I show how we can make sense of the assertion that pure geometry is analytic in Carnap's sense.

Categories

Keywords

Reprint years

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Remarks on the geometry of visibles.Gordon Belot - 2003 - Philosophical Quarterly 53 (213):581–586.
Bridging the gap between analytic and synthetic geometry: Hilbert’s axiomatic approach.Eduardo N. Giovannini - 2016 - Synthese 193 (1):31-70.
Kant's Views on Non-Euclidean Geometry.Michael Cuffaro - 2012 - Proceedings of the Canadian Society for History and Philosophy of Mathematics 25:42-54.
Relativity and geometry.Roberto Torretti - 1983 - New York: Dover Publications.
Constructivity in Geometry.Richard Vesley - 1999 - History and Philosophy of Logic 20 (3-4):291-294.
Philosophy of Geometry from Riemann to Poincaré.Nicholas Griffin - 1981 - Philosophical Quarterly 31 (125):374.
Formalization of Hilbert's geometry of incidence and parallelism.Jan von Plato - 1997 - Synthese 110 (1):127-141.
Formalization of Hilbert's geometry of incidence and parallelism.Jan Platvono - 1997 - Synthese 110 (1):127-141.
The conventionality of simultaneity in Einstein’s practical chrono-geometry.Mario Bacelar Valente - 2017 - Theoria : An International Journal for Theory, History and Fundations of Science 32 (2):177-190.
Human diagrammatic reasoning and seeing-as.Annalisa Coliva - 2012 - Synthese 186 (1):121-148.
Ternary operations as primitive notions for plane geometry II.Victor Pambuccian - 1992 - Mathematical Logic Quarterly 38 (1):345-348.
The future of post-human geometry: a preface to a new theory of infinity, symmetry, and dimensionality.Peter Baofu - 2009 - Newcastle upon Tyne: Cambridge Scholars Press.
A Critique of the Kantian View of Geometry.Allan F. Randall - unknown
Pure and applied geometries from a synthetic-axiomatic approach to theories.German Pino - 2005 - Eidos: Revista de Filosofía de la Universidad Del Norte 3:60-82.
The Meno and the Second Problem of Geometry At 86e1.Samet Bagce - 2016 - Φιλοσοφια: International Journal of Philosophy 17 (1).

Analytics

Added to PP
2018-12-29

Downloads
651 (#26,230)

6 months
436 (#4,018)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

David Mwakima
University of California, Irvine

Citations of this work

No citations found.

Add more citations

References found in this work

Reconsidering Logical Positivism.Michael Friedman - 1999 - New York: Cambridge University Press.
Summa Contra Gentiles.Thomas Aquinas - 1975 - University of Notre Dame Press.
Point and line to plane.Wassily Kandinsky - 1926 - New York: Dover Publications. Edited by Hilla Rebay.
The Formalities of Omniscience.A. N. Prior - 1962 - Philosophy 37 (140):114 - 129.
On Divine Foreknowledge: Part IV of the Concordia.Alfred J. Freddoso (ed.) - 1988 - Ithaca: Cornell University Press.

View all 9 references / Add more references