Paul Lorenzen -- Mathematician and Logician

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 practitioner...

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Bibliographic Details
Main Author: Heinzmann, Gerhard
Other Authors: Wolters, Gereon
Format: eBook
Language:English
Published: Springer Nature 2021
Series:Logic, Epistemology, and the Unity of Science
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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653 |a Lorenzen's Consistency Proof and Hilbert's Larger Programme 
653 |a Lorenzeṇ's Work on Lattice-groups and Divisibility Theory 
653 |a Game Semantics for Substructural Logics 
653 |a Application to Constructive Measure Theory 
653 |a Modern Set Theory and Lorenzen's Critique of Actual Infinity 
653 |a Lorenzen and Erlangen School of Methodical Constructivism 
653 |a History of mathematics / bicssc 
653 |a Lorenzen on Proof-theoretic Semantics 
653 |a Grundlagenforschung 
653 |a Lorenzen on Databank Management 
653 |a Lorenzen's Dialogue Game 
653 |a Constructive Examination of a Russell-style Ramified Type Theory 
653 |a Mathematical foundations / bicssc 
653 |a Krull's Fundamentalsatz for Integral Domains 
653 |a Lorenzen on Constructive Mathematics 
653 |a Lorenzen on Stochastics 
653 |a Russell-style Ramified Type Theory 
653 |a Operative Justification of Logic and Mathematics 
653 |a Philosophy of mathematics / bicssc 
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520 |a 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.