David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Axiomathes 22 (1):5-30 (2012)
Husserl left many unpublished drafts explaining (or trying to) his views on spatial representation and geometry, such as, particularly, those collected in the second part of Studien zur Arithmetik und Geometrie (Hua XXI), but no completely articulate work on the subject. In this paper, I put forward an interpretation of what those views might have been. Husserl, I claim, distinguished among different conceptions of space, the space of perception (constituted from sensorial data by intentionally motivated psychic functions), that of physical geometry (or idealized perceptual space), the space of the mathematical science of physical nature (in which science, not only raw perception has a word) and the abstract spaces of mathematics (free creations of the mathematical mind), each of them with its peculiar geometrical structure. Perceptual space is proto-Euclidean and the space of physical geometry Euclidean, but mathematical physics, Husserl allowed, may find it convenient to represent physical space with a non-Euclidean structure. Mathematical spaces, on their turn, can be endowed, he thinks, with any geometry mathematicians may find interesting. Many other related questions are addressed here, in particular those concerning the a priori or a posteriori character of the many geometric features of perceptual space (bearing in mind that there are at least two different notions of a priori in Husserl, which we may call the conceptual and the transcendental a priori). I conclude with an overview of Weyl’s ideas on the matter, since his philosophical conceptions are often traceable back to his former master, Husserl
|Keywords||Husserl Spatial representation Perceptual space Physical space Mathematical space Geometry Pure geometry Applied geometry Euclidean geometry Non-Euclidean geometries Intentional constitution Weyl|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Edmund Husserl (1970). The Crisis of European Sciences and Transcendental Phenomenology. Evanston,Northwestern University Press.
Edmund Husserl (1931). Ideas: General Introdution to Pure Phenomenology. New York, the Macmillan Company.
Hermann Weyl (1949). Philosophy of Mathematics and Natural Science. Princeton University Press.
Citations of this work BETA
No citations found.
Similar books and articles
Jairo da Silva (2012). Husserl on Geometry and Spatial Representation. Axiomathes 22 (1):5-30.
René Jagnow (2006). Edmund Husserl on the Applicability of Formal Geometry. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer 67--85.
Rene Jagnow (2003). Geometry and Spatial Intuition: A Genetic Approach. Dissertation, Mcgill University (Canada)
Helen De Cruz (2007). An Enhanced Argument for Innate Elementary Geometric Knowledge and its Philosophical Implications. In Bart Van Kerkhove (ed.), New perspectives on mathematical practices. Essays in philosophy and history of mathematics. World Scientific
Edward Slowik (2010). The Fate of Mathematical Place: Objectivity and the Theory of Lived-Space From Husserl to Casey. In Vesselin Petkov (ed.), Space, Time, and Spacetime. Springer-Verlag 291-312.
Amit Hagar (2002). Thomas Reid and Non-Euclidean Geometry. Reid Studies 5 (2):54-64.
Tim Maudlin (2010). Time, Topology and Physical Geometry. Aristotelian Society Supplementary Volume 84 (1):63-78.
Joongol Kim (2006). Concepts and Intuitions in Kant's Philosophy of Geometry. Kant-Studien 97 (2):138-162.
Elżbieta Łukasiewicz (2010). Husserl's Lebenswelt and the Problem of Spatial Cognition – in Search of Universals. Polish Journal of Philosophy 4 (1):23-43.
Frank Arntzenius (ed.) (2012). Space, Time, & Stuff. Oxford Univ. Press.
Patrick Suppes (1972). Some Open Problems in the Philosophy of Space and Time. Synthese 24 (1-2):298 - 316.
Michael Friedman (2012). Kant on Geometry and Spatial Intuition. Synthese 186 (1):231-255.
Guillermo Rosado Haddock (2012). Husserl's Conception of Physical Theories and Physical Geometry in the Time of the Prolegomena : A Comparison with Duhem's and Poincaré's Views. [REVIEW] Axiomathes 22 (1):171-193.
Amit Hagar (2008). Kant and Non-Euclidean Geometry. Kant-Studien 99 (1):80-98.
Added to index2011-09-23
Total downloads21 ( #173,775 of 1,792,039 )
Recent downloads (6 months)4 ( #207,142 of 1,792,039 )
How can I increase my downloads?