书目名称 | Paul Lorenzen -- Mathematician and Logician |
编辑 | Gerhard Heinzmann,Gereon Wolters |
视频video | |
概述 | Details an original approach to the history of logic and mathematics.Contributes to debates on proof-theoretic semantics, databank management, and stochastics.Features papers from a meeting at the Uni |
丛书名称 | Logic, Epistemology, and the Unity of Science |
图书封面 |  |
描述 | .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 a |
出版日期 | Book‘‘‘‘‘‘‘‘ 2021 |
关键词 | Lorenzen on Constructive Mathematics; Application to Constructive Measure Theory; Lorenzeṇ’s Work on L |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-65824-3 |
isbn_softcover | 978-3-030-65826-7 |
isbn_ebook | 978-3-030-65824-3Series ISSN 2214-9775 Series E-ISSN 2214-9783 |
issn_series | 2214-9775 |
copyright | The Editor(s) (if applicable) and The Author(s) 2021 |