David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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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|
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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.
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