Damián Bravo Zamora on Guido Kreis’s “Negative Dialektik des Unendlichen”

 

GUIDO KREIS | Negative Dialektik des Unendlichen: Kant, Hegel, Cantor | Berlin: Suhrkamp, 2015


 

By Damián Bravo Zamora

Any engagement with the history of philosophy that is worth the philosopher’s while is irremediably philosophical. The spirit with which the philosopher approaches the history of his or her own activity is an incorrigibly Socratic one. Any discourse that smacks of an arbitrary appeal to authority, of an act of hiding behind the shield of unclarified concepts, or of a plotless chronology of authors, appears to the eyes of the philosopher not only as superfluous and insubstantial, but also, and above all, as intolerably boring. It is to Guido Kreis’s great credit to have delivered a truly philosophical history, and even the story, of a philosophical problem. His book Negative Dialektik des Unendlichen: Kant, Hegel, Cantor is an ambitious and at the same time accomplished work, which squarely takes on a fundamental metaphysical and logico-mathematical problem by unhesitatingly dealing with the ideas at issue in an argumentative and unitary manner, reaching far beyond any specific exegetical concerns, of interest only to the specialist in the philosophical system of this or that thinker, and far beyond any specific technical difficulties appertaining to this or that area of contemporary philosophy.

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Franz Knappik on Guido Kreis’s “Negative Dialektik des Unendlichen”

 

GUIDO KREIS | Negative Dialektik des Unendlichen: Kant, Hegel, Cantor | Berlin: Suhrkamp, 2015


 

By Franz Knappik

I have greatly enjoyed reading Guido Kreis’s new book Negative Dialektik des Unendlichen. Kant, Hegel, Cantor has much to offer to its reader: a book-length argument in the logic of infinity, careful reconstructions and novel interpretations of key doctrines and arguments in Kant and Hegel, as well as an insightful analysis of important types of dialectic. The book draws on a broad array of sources that ranges from Kant and Hegel through Cantor’s work on the mathematics of infinity to the most recent debates on unrestricted quantification. Despite the complexity and abstractness of the topics that it deals with, Negative Dialektik des Unendlichen is written throughout in a very readable and clear manner.  Read more