Chapter

Georg Cantor’s Paradise, Metaphysics, and Husserlian Logic

Claire Ortiz Hill

in Categories of Being

Published in print July 2012 | ISBN: 9780199890576
Published online September 2012 | e-ISBN: 9780199980031 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199890576.003.0010
Georg Cantor’s Paradise, Metaphysics, and Husserlian Logic

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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

Chapter.  11752 words. 

Subjects: Metaphysics

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