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Guido Kreis

The Challenge of Paradox: Infinity and Contradiction in Western and Chinese Philosophy

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Kant claimed that it is impossible for us to have a consistent notion of the infinite. I shall concentrate on three versions of the paradoxes of the infinite: Kant's first antinomy, the paradoxes of Cantorian set theory, and applications of Cantorian arguments to the metaphysics of the world. I shall dare two side-glance looks at Ancient Chinese Philosophy, where analogies to the Western paradoxes can be found. I shall first discuss key passages from the Chinese sophists, and then consider the formulation of the Law of Non-Contradiction in the Moist Canons. I conclude that the paradoxes of the infinite remain a major challenge for reason.

Original languageEnglish
JournalJournal of Chinese Philosophy
Pages (from-to)193-211
Number of pages19
Publication statusPublished - Sep 2017

Bibliographical note

The paper was first published online in 2018, and then in 2019 published as a part of the 2017 volume (issue 3-4).

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