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Categories of BeingEssays on Metaphysics and Logic$
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Leila Haaparanta and Heikki Koskinen

Print publication date: 2012

Print ISBN-13: 9780199890576

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199890576.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 20 January 2022

Georg Cantor’s Paradise, Metaphysics, and Husserlian Logic

Georg Cantor’s Paradise, Metaphysics, and Husserlian Logic

(p.217) 10 Georg Cantor’s Paradise, Metaphysics, and Husserlian Logic
Categories of Being

Claire Ortiz Hill

Oxford University Press

This chapter deals with the discussion that was going on among set theorists and logicians at the end of the nineteenth century and at the beginning of the twentieth century. Logical experimentation carried out at the intersection of Cantor’s theory of sets and twentieth century attitudes towards metaphysics and logic has unearthed many important questions about the ultimate structure of reality. In particular, the full story of set theory’s role in shaping modern logic and in redrawing the boundaries between metaphysics and logic in both the analytical and the phenomenological traditions is yet to be told and its full implications drawn. The chapter seeks to add new dimensions to standard discussions by going back to where those two logical roads diverged and affording them a look down at the one not taken by mainstream logicians in the last century.

Keywords:   Georg Cantor, set theory, reality, metaphysics, logic, phenomenology, structure of reality

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