feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Online Resource
    Online Resource
    Cham, Switzerland : Springer
    UID:
    b3kat_BV047463357
    Format: 1 Online-Ressource
    ISBN: 9783030658243
    Series Statement: Logic, epistemology, and the unity of science volume 51
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-65823-6
    Language: English
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    Author information: Wolters, Gereon 1944-
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 2
    Online Resource
    Online Resource
    Cham : Springer International Publishing AG
    UID:
    gbv_1809176999
    Format: 1 online resource (274 pages)
    ISBN: 9783030658243
    Series Statement: Logic, Epistemology, and the Unity of Science Ser. v.51
    Content: Intro -- Preface -- Contents -- List of Contributors -- 1 Paul Lorenzens Weg von der Mathematik zur Philosophie - Persönliche Erinnerungen -- 2 Operation and Predicativity: Lorenzen's Approach to Arithmetic -- 1 Introduction -- 2 The main philosophical considerations -- 3 The construction of the natural and the real numbers -- 4 A short outlook on predicative mathematics -- References -- 3 Conceptions of Infinity and Set in Lorenzen's Operationist System -- 1 Introduction -- 2 Operationism and the foundational crisis -- 3 Elimination of the classical notion of set -- 4 The question of infinity -- 4.1 A shift in focus -- 4.2 Constructs and infinity -- 4.3 Rejection of actual infinity -- 5 Conclusion and outlook -- References -- 4 Lorenzen and Constructive Mathematics -- Introduction -- 1 Lorenzen's analysis of Gentzen's work -- 1.1 The consistency proof -- 1.2 The inversion principle -- 1.3 Distributive lattices and entailment relations -- 2 Proof-theoretic analysis of point-free spaces -- 3 Measure theory -- 3.1 Borel subsets of Cantor space -- 3.2 Borel's measure problem -- 3.3 An inductive solution of Borel's measure problem -- 4 Game semantics -- References -- 5 Lorenzen between Gentzen and Schütte -- 1 Introduction: Hilbert's Programme after Gentzen -- 2 Lorenzen's consistency proof for ramified type theory (without reducibility) -- 3 Gentzen, Bernays, Schütte -- 4 Digression: Lorenzen's 1951 Zeitschrift paper -- 5 Conclusion -- References -- 6 Syntax for Semantics: Krull's Maximal Ideal Theorem -- 1 Introduction -- 2 Maximal ideals -- 3 Entailment relations -- 4 Krull's theorem without choice -- 5 Applications -- Acknowledgements -- References -- 7 Regular Entailment Relations -- Introduction -- 1 General properties of regular entailment relations -- 2 Another presentation of regular entailment relations -- 3 Equivariant systems of ideals.
    Note: Description based on publisher supplied metadata and other sources
    Additional Edition: ISBN 9783030658236
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783030658236
    Language: English
    Keywords: Electronic books. ; Electronic books.
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 3
    Online Resource
    Online Resource
    [Erscheinungsort nicht ermittelbar] : Springer Nature
    UID:
    gbv_1778405630
    Format: 1 Online-Ressource (268 p.)
    ISBN: 9783030658243
    Series Statement: Logic, Epistemology, and the Unity of Science
    Content: 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
    Note: English
    Additional Edition: Erscheint auch als Druck-Ausgabe Paul Lorenzen: Mathematician and Logician (Veranstaltung : 2018 : Konstanz) Paul Lorenzen - mathematician and logician Cham, Switzerland : Springer, 2021 ISBN 9783030658236
    Additional Edition: ISBN 9783030658267
    Language: English
    Subjects: Mathematics
    RVK:
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
  • 4
    UID:
    gbv_189098872
    Format: 13, 12, 11 S , 30 cm
    Series Statement: Report of the Research Group on Semantical Aspects of Spacetime Theories at the Center for Interdisciplinary Research (ZiF), University of Bielefeld 93,14
    Language: Undetermined
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. Further information can be found on the KOBV privacy pages