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dc.contributor.editorHeinzmann, Gerhard
dc.contributor.editorWolters, Gereon
dc.date.accessioned2021-10-05T14:04:55Z
dc.date.available2021-10-05T14:04:55Z
dc.date.issued2021
dc.identifierONIX_20211005_9783030658243_5
dc.identifier.urihttps://library.oapen.org/handle/20.500.12657/50703
dc.description.abstractThis 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.
dc.languageEnglish
dc.relation.ispartofseriesLogic, Epistemology, and the Unity of Science
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBB Philosophy of mathematics
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBX History of mathematics
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBC Mathematical foundations
dc.subject.otherLorenzen on Constructive Mathematics
dc.subject.otherApplication to Constructive Measure Theory
dc.subject.otherLorenzeṇ’s Work on Lattice-groups and Divisibility Theory
dc.subject.otherKrull’s Fundamentalsatz for Integral Domains
dc.subject.otherModern Set Theory and Lorenzen’s Critique of Actual Infinity
dc.subject.otherGrundlagenforschung
dc.subject.otherLorenzen’s Consistency Proof and Hilbert’s Larger Programme
dc.subject.otherLorenzen's Dialogue Game
dc.subject.otherGame Semantics for Substructural Logics
dc.subject.otherConstructive Examination of a Russell-style Ramified Type Theory
dc.subject.otherOperative Justification of Logic and Mathematics
dc.subject.otherLorenzen on Proof-theoretic Semantics
dc.subject.otherLorenzen on Databank Management
dc.subject.otherLorenzen on Stochastics
dc.subject.otherRussell-style Ramified Type Theory
dc.subject.otherLorenzen and Erlangen School of Methodical Constructivism
dc.titlePaul Lorenzen -- Mathematician and Logician
dc.typebook
oapen.identifier.doi10.1007/978-3-030-65824-3
oapen.relation.isPublishedBy6c6992af-b843-4f46-859c-f6e9998e40d5
oapen.relation.isbn9783030658243
oapen.imprintSpringer
oapen.series.number51
oapen.pages268


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