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Formalism and Beyond : On the Nature of Mathematical Discourse / ed. by Godehard Link.

Contributor(s): Material type: TextTextSeries: Logos : Studien zur Logik, Sprachphilosophie und Metaphysik ; 23Publisher: Berlin ; Boston : De Gruyter, [2014]Copyright date: ©2014Description: 1 online resource (420 p.)Content type:
Media type:
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ISBN:
  • 9781614518297
  • 9781614519966
  • 9781614518471
Subject(s): Other classification:
  • online - DeGruyter
Online resources: Available additional physical forms:
  • Issued also in print.
Contents:
Frontmatter -- Contents -- Preface -- Duality, Epistemic Efficiency & Consistency -- Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others -- Frege on Formality and the 1906 Independence-Test -- Formal Discourse in Russell: From Metaphysics to Philosophical Logic -- On Live and Dead Signs in Mathematics -- Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 -- Assumptions of Infinity -- The Interpretation of Classes in Axiomatic Set Theory -- Purity in Arithmetic: some Formal and Informal Issues -- Domain Extensions and Higher-Order Syntactical Interpretations -- Finite Methods in Mathematical Practice -- List of Contributors -- Name Index
Summary: The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.
Holdings
Item type Current library Call number URL Status Notes Barcode
eBook eBook Biblioteca "Angelicum" Pont. Univ. S.Tommaso d'Aquino Nuvola online online - DeGruyter (Browse shelf(Opens below)) Online access Not for loan (Accesso limitato) Accesso per gli utenti autorizzati / Access for authorized users (dgr)9781614518471

Frontmatter -- Contents -- Preface -- Duality, Epistemic Efficiency & Consistency -- Frege on Quantities and Real Numbers in Consideration of the Theories of Cantor, Russell and Others -- Frege on Formality and the 1906 Independence-Test -- Formal Discourse in Russell: From Metaphysics to Philosophical Logic -- On Live and Dead Signs in Mathematics -- Generalization and the Impossible: Issues in the search for generalized mathematics around 1900 -- Assumptions of Infinity -- The Interpretation of Classes in Axiomatic Set Theory -- Purity in Arithmetic: some Formal and Informal Issues -- Domain Extensions and Higher-Order Syntactical Interpretations -- Finite Methods in Mathematical Practice -- List of Contributors -- Name Index

restricted access online access with authorization star

http://purl.org/coar/access_right/c_16ec

The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.

Issued also in print.

Mode of access: Internet via World Wide Web.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)