Chapter

A New Kind of Platonism

Richard Tieszen

in After Gödel

Published in print May 2011 | ISBN: 9780199606207
Published online May 2011 | e-ISBN: 9780191725500 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199606207.003.0004
A New Kind of Platonism

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On the basis of the combination of ideas described in chapter 1, and expanded in chapters 2 and 3, this chapter presents a novel type of platonism that I call “constituted platonism.” The chapter initiates the development of a defensible form of Gödelian platonic rationalism as constituted platonism. It is argued that constituted platonism has its roots in the work of Husserl that was of interest to Gödel. Husserl tries to combine a kind of transcendental idealism (having antecedents in Kant) with mathematical and logical realism (having antecedents in Plato). The chapter describes constituted platonism in some detail, including Husserl's ideas about the phenomenological method of the epochē. Constituted platonism is concerned with how the human mind (the “monad,” with antecedents in Leibniz) constitutes the meaning of being of the objects of logic and mathematics as abstract, mind-independent (in a “critical” sense), non-sensory, non-spatial, non-temporal (omnitemporal), and acausal.

Keywords: constitution; platonism; Kant; mind-independence; abstract; intuition; epochē; monad; idealism/realism

Chapter.  15636 words.  Illustrated.

Subjects: History of Western Philosophy

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