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Paul Lorenzen -- Mathematician and Logician

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This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathematics, Lorenzen’s work on lattice-groups and divisibility theory, and modern set theory and Lorenzen’s critique of actual infinity. The contributors also look at the main problem of Grundlagenforschung and Lorenzen’s consistency proof and Hilbert’s larger program. In addition, the papers offer a constructive examination of a Russell-style Ramified Type Theory and a way out of the circularity puzzle within the operative justification of logic and mathematics. Paul Lorenzen's name is associated with the Erlangen School of Methodical Constructivism, of which the approach in linguistic philosophy and philosophy of science determined philosophical discussions especially in Germany in the 1960s and 1970s. This volume features 10 papers from a meeting that took place at the University of Konstanz.

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Detail Information

Series Title

Logic, Epistemology, and the Unity of Science, 51

Call Number

510 PAU p

Publisher

: Springer Nature., 2021

Collation

268

Language

English

ISBN/ISSN

9783030658243, 9783030658243

Classification

510

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Philosophy of Mathematics
Mathematical foundations

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Statement of Responsibility

Editor: Gerhard Heinzmann, Gereon Wolters

Other Information

Cataloger

umi

Source

https://library.oapen.org/handle/20.500.12657/50703

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