David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Axiomathes 13 (1):79-104 (2002)
Edmund Husserl was one of the very first to experience the direct impact of challenging problems in set theory and his phenomenology first began to take shape while he was struggling to solve such problems. Here I study three difficulties associated with Frege's use of sets that Husserl explicitly addressed: reference to non-existent, impossible, imaginary objects; the introduction of extensions; and 'Russell's paradox'.I do so within the context of Husserl's struggle to overcome the shortcomings of set theory and to develop his own theory of manifolds. I define certain issues involved and discuss how Husserl's theory of manifolds might confront them. In so doing I hope to help bring Husserl's theories about sets and manifolds out of the realm of abstract theorizing and prompt further exploration of uncharted philosophical territory rich in philosophical implications.
|Keywords||Philosophy Philosophy Logic Ontology Linguistics Cognitive Psychology|
|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
No references found.
Citations of this work BETA
Manuel Gustavo Isaac (2015). L'idée de la Logique Formelle Dans les Appendices VI À X du Volume 12 des Husserliana. History and Philosophy of Logic 36 (4):321-345.
Mark W. Brown (2008). The Place of Description in Phenomenology's Naturalization. Phenomenology and the Cognitive Sciences 7 (4):563-583.
Similar books and articles
Ivonne V. Pallares Vega (2003). Claire Ortiz Hill and Guillermo E. Rosado Haddock: Husserl or Frege? Meaning, Objectivity, and Mathematics. [REVIEW] Husserl Studies 19 (2):179-191.
Hans Ruin (2011). Seeing Meaning: Frege and Derrida on Ideality and the Limits of Husserlian Intuitionism. [REVIEW] Husserl Studies 27 (1):63-81.
Thomas Mormann (1991). Husserl's Philosophy of Science and the Semantic Approach. Philosophy of Science 58 (1):61-83.
Mirja Helena Hartimo (2007). Towards Completeness: Husserl on Theories of Manifolds 1890–1901. Synthese 156 (2):281 - 310.
Paul Ricœur (1967/2007). Husserl: An Analysis of His Phenomenology. Northwestern University Press.
R. O. Elveton (1970). The Phenomenology of Husserl. Chicago,Quadrangle Books.
Claire Ortiz Hill (1997). Did Georg Cantor Influence Edmund Husserl? Synthese 113 (1):145-170.
Added to index2009-01-28
Total downloads44 ( #91,086 of 1,790,544 )
Recent downloads (6 months)2 ( #325,851 of 1,790,544 )
How can I increase my downloads?