東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Paul Lorenzen - mathematician and lo...

Heinzmann, Gerhard.

Linked to FindBook

Google Book

Amazon

博客來

Paul Lorenzen - mathematician and logician

Record Type:	Electronic resources : Monograph/item
Title/Author:	Paul Lorenzen - mathematician and logician/ edited by Gerhard Heinzmann, Gereon Wolters.
other author:	Heinzmann, Gerhard.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xii, 268 p. :ill., digital ;24 cm.
[NT 15003449]:	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 Fermuller) -- 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)
Contained By:	Springer Nature eBook
Subject:	Mathematics - Philosophy. -
Online resource:	https://doi.org/10.1007/978-3-030-65824-3
ISBN:	9783030658243

Paul Lorenzen - mathematician and logician
Paul Lorenzen - mathematician and logician[electronic resource] /edited by Gerhard Heinzmann, Gereon Wolters. - Cham :Springer International Publishing :2021. - xii, 268 p. :ill., digital ;24 cm. - Logic, epistemology, and the unity of science,v.512214-9783 ;. - Logic, epistemology, and the unity of science ;v.51..

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 Fermuller) -- 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)

Open access.

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.

ISBN: 9783030658243

Standard No.: 10.1007/978-3-030-65824-3doiSubjects--Personal Names:

3515020
Lorenzen, Paul,
1915-1994.Subjects--Topical Terms:

523930
Mathematics
--Philosophy.

LC Class. No.: QA8.4 / .P38 2021

Dewey Class. No.: 510.1

Paul Lorenzen - mathematician and logician
LDR:03555nmm a2200349 a 4500 001 2249545
003 DE-He213
005 20210817132842.0
006 m d
007 cr nn 008maaau
008 220103s2021 sz s 0 eng d
020 $a 9783030658243 $q (electronic bk.)
020 $a 9783030658236 $q (paper)
024 7 $a 10.1007/978-3-030-65824-3 $2 doi
035 $a 978-3-030-65824-3
040 $a GP $c GP
041 0 $a eng $a ger
050 4 $a QA8.4 $b .P38 2021
072 7 $a PBB $2 bicssc
072 7 $a MAT015000 $2 bisacsh
072 7 $a PBB $2 thema
082 0 4 $a 510.1 $2 23
090 $a QA8.4 $b .P324 2021
245 0 0 $a Paul Lorenzen - mathematician and logician $h [electronic resource] / $c edited by Gerhard Heinzmann, Gereon Wolters.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xii, 268 p. : $b ill., digital ; $c 24 cm.
490 1 $a Logic, epistemology, and the unity of science, $x 2214-9783 ; $v v.51
505 0 $a 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 Fermuller) -- 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)
506 $a Open access.
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.
600 1 0 $a Lorenzen, Paul, $d 1915-1994. $3 3515020
650 0 $a Mathematics $x Philosophy. $3 523930
650 0 $a Constructivism (Philosophy) $3 534421
650 0 $a Logic, Symbolic and mathematical. $3 532051
650 1 4 $a Philosophy of Mathematics. $3 2192005
650 2 4 $a History of Mathematical Sciences. $3 1530523
650 2 4 $a Mathematical Logic and Foundations. $3 892656
700 1 $a Heinzmann, Gerhard. $3 3515021
700 1 $a Wolters, Gereon. $3 1987408
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Logic, epistemology, and the unity of science ; $v v.51. $3 3515022
856 4 0 $u https://doi.org/10.1007/978-3-030-65824-3
950 $a Religion and Philosophy (SpringerNature-41175)