Operation and Predicativity: Lorenzen’s Approach to Arithmetic

In Gerhard Heinzmann & Gereon Wolters (eds.), Paul Lorenzen -- Mathematician and Logician. Springer Verlag. pp. 11-22 (2021)
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Abstract

In this article we give an overview, from a philosophical point of view, of Lorenzen’s construction of the natural and the real numbers. Particular emphasis is placed on Lorenzen’s classification in the tradition of predicative approaches that stretches from Poincaré to Feferman.

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