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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| Format: | Electronic eBook |
| Language: | English |
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Springer International Publishing : Imprint: Springer,
2021.
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| Edition: | 1st ed. 2021. |
| Series: | Logic, Epistemology, and the Unity of Science,
51 |
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| Online Access: | Link to Metadata |
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Table of Contents:
- Preface
- Chapter 1. Introduction (Gerhard Heinzmann)
- Chapter 2. N.N (Kuno Lorenz)
- Chapter 3. Some contributions of Lorenzen to constructive mathematics and an application to constructive measure theory (Thierry Coquand)
- Chapter 4. Lorenzeṇ's work on lattice-groups and divisibility theory. From a classical celebrated result to a relevant constructive rewriting (Henri Lombardi)
- Chapter 5. Lorenzeṇ's reshaping of Krull's Fundamentalsatz for integral domains (1939-1953) (Stefan Neuwirth)
- Chapter 6. Extension by Conservation (Peter M. Schuster)
- Chapter 7. Modern set theory and Lorenzen's critique of actual infinity (Carolin Antos)
- Chapter 8. The main problem of Grundlagenforschung (Jan von Plato)
- Chapter 9. Lorenzen's consistency proof and Hilbert's larger programme (Reinhard Kahle)
- Chapter 10. From Lorenzen's dialogue game to game semantics for substructural logics (Christian Fermüller)
- Chapter 11. A Constructive Examination of a Russell-style Ramified Type Theory(Erik Palmgren)
- Chapter 12. A circularity puzzle within the operative justification of logic and mathematics and a way out (Shahid Rahman).