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 practitioners can...
محفوظ في:
| التنسيق: | Online |
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| اللغة: | الإنجليزية |
| منشور في: |
Springer Nature
2021
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| الموضوعات: | |
| الوصول للمادة أونلاين: | ONIX_20211005_9783030658243_5 |
| الوسوم: |
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| _version_ | 1869524415247548416 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-72030 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-720302025-08-13T14:11:05Z Paul Lorenzen -- Mathematician and Logician Heinzmann, Gerhard Wolters, Gereon Lorenzen on Constructive Mathematics Application to Constructive Measure Theory Lorenzeṇ’s Work on Lattice-groups and Divisibility Theory Krull’s Fundamentalsatz for Integral Domains Modern Set Theory and Lorenzen’s Critique of Actual Infinity Grundlagenforschung Lorenzen’s Consistency Proof and Hilbert’s Larger Programme Lorenzen's Dialogue Game Game Semantics for Substructural Logics Constructive Examination of a Russell-style Ramified Type Theory Operative Justification of Logic and Mathematics Lorenzen on Proof-theoretic Semantics Lorenzen on Databank Management Lorenzen on Stochastics Russell-style Ramified Type Theory Lorenzen and Erlangen School of Methodical Constructivism thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations 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. 2021-10-06T04:00:50Z 2021-10-06T04:00:50Z 2021-10-05T14:04:55Z 2021 book ONIX_20211005_9783030658243_5 OCN: 1265405286 https://library.oapen.org/handle/20.500.12657/50703 9783030658243 https://directory.doabooks.org/handle/20.500.12854/72030 eng Logic, Epistemology, and the Unity of Science open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/50703/1/978-3-030-65824-3.pdf https://library.oapen.org/bitstream/20.500.12657/50703/1/978-3-030-65824-3.pdf https://library.oapen.org/bitstream/20.500.12657/50703/1/978-3-030-65824-3.pdf Springer Nature Springer 10.1007/978-3-030-65824-3 10.1007/978-3-030-65824-3 9fa3421d-f917-4153-b9ab-fc337c396b5a 9783030658243 Springer 268 open access |
| spellingShingle | Lorenzen on Constructive Mathematics Application to Constructive Measure Theory Lorenzeṇ’s Work on Lattice-groups and Divisibility Theory Krull’s Fundamentalsatz for Integral Domains Modern Set Theory and Lorenzen’s Critique of Actual Infinity Grundlagenforschung Lorenzen’s Consistency Proof and Hilbert’s Larger Programme Lorenzen's Dialogue Game Game Semantics for Substructural Logics Constructive Examination of a Russell-style Ramified Type Theory Operative Justification of Logic and Mathematics Lorenzen on Proof-theoretic Semantics Lorenzen on Databank Management Lorenzen on Stochastics Russell-style Ramified Type Theory Lorenzen and Erlangen School of Methodical Constructivism thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations Paul Lorenzen -- Mathematician and Logician |
| title | Paul Lorenzen -- Mathematician and Logician |
| title_full | Paul Lorenzen -- Mathematician and Logician |
| title_fullStr | Paul Lorenzen -- Mathematician and Logician |
| title_full_unstemmed | Paul Lorenzen -- Mathematician and Logician |
| title_short | Paul Lorenzen -- Mathematician and Logician |
| title_sort | paul lorenzen mathematician and logician |
| topic | Lorenzen on Constructive Mathematics Application to Constructive Measure Theory Lorenzeṇ’s Work on Lattice-groups and Divisibility Theory Krull’s Fundamentalsatz for Integral Domains Modern Set Theory and Lorenzen’s Critique of Actual Infinity Grundlagenforschung Lorenzen’s Consistency Proof and Hilbert’s Larger Programme Lorenzen's Dialogue Game Game Semantics for Substructural Logics Constructive Examination of a Russell-style Ramified Type Theory Operative Justification of Logic and Mathematics Lorenzen on Proof-theoretic Semantics Lorenzen on Databank Management Lorenzen on Stochastics Russell-style Ramified Type Theory Lorenzen and Erlangen School of Methodical Constructivism thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations |
| topic_facet | Lorenzen on Constructive Mathematics Application to Constructive Measure Theory Lorenzeṇ’s Work on Lattice-groups and Divisibility Theory Krull’s Fundamentalsatz for Integral Domains Modern Set Theory and Lorenzen’s Critique of Actual Infinity Grundlagenforschung Lorenzen’s Consistency Proof and Hilbert’s Larger Programme Lorenzen's Dialogue Game Game Semantics for Substructural Logics Constructive Examination of a Russell-style Ramified Type Theory Operative Justification of Logic and Mathematics Lorenzen on Proof-theoretic Semantics Lorenzen on Databank Management Lorenzen on Stochastics Russell-style Ramified Type Theory Lorenzen and Erlangen School of Methodical Constructivism thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations thema EDItEUR::P Mathematics and Science::PB Mathematics::PBB Philosophy of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBX History of mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBC Mathematical foundations |
| url | ONIX_20211005_9783030658243_5 |