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Carlo Ierna: Husserl’s relation to Hilbert and the transition through the impossible

18.10.2017

The LMS - Center welcomes prof. Carlo Ierna (University of Groningen) to speak on "Husserl’s relation to Hilbert and the transition through the impossible". You are mostly welcome to join us!!

Abstract: "Husserl’s relation to Hilbert and the Transition through the ImpossibleIn my presentation I will briefly outline Husserl’s development between his time as a student of Weierstrass in Berlin and the Doppelvortrag in Göttingen as colleague and friend of Hilbert. I will then concentrate in more detail on Husserl’s position in the foundations of mathematics, comparing it to the new paradigms of logicism and formalism on the one side and his background in the Brentanist philosophy of mathematics on the other. In particular, I will focus on the issue of the so-called imaginary numbers and how a “transition through the imaginary” can be justified. This problem had plagued Husserl ever since the 1891 Philosophy of Arithmetic and it had still not been completely resolved by the theory of manifolds in the Prolegomena. The Doppelvortrag, however, seems to contain a sketch of a solution based on the concept of definiteness of a system of axioms, which Husserl compared to Hilbert’s notion of completeness."


When: Oct 18, 2017 from 14:05 - 15:40
Where: Building of Philosophical Faculty, Room #B9

Česky | English


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Tento projekt je spolufinancován Evropským sociálním fondem a státním rozpočtem České republiky.

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