Skip to main content
SpringerLink
Log in

A New Indefinite Semantics for Hilbert’s Epsilon

  • Conference paper
  • First Online:
Book cover Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2002)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2381))

Abstract

After reviewing the literature on semantics of Hilbert’s epsilon symbol, we present a new one that is similar to the referential interpretation of indefinite articles in natural languages.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wolfgang Bibel (1987). Automated Theorem Proving. 2nd rev. ed., Vieweg, Braunschweig.

    MATH  Google Scholar 

  2. Wolfgang Bibel, Peter H. Schmitt (eds.) (1998). Automated Deduction — A Basis for Applications. Kluwer Acad. Publ..

    Google Scholar 

  3. Andreas Blass, Yuri Gurevich (2000). The Logic of Choice. J. Symbolic Logic 65, pp. 1264–1310.

    Article  MATH  MathSciNet  Google Scholar 

  4. Melvin C. Fitting (1996). First-Order Logic and Automated Theorem Proving. 2nd extd. ed., Springer.

    Google Scholar 

  5. Martin Giese, Wolfgang Ahrendt (1999). Hilbert’s ∈-Terms in Automated Theorem Proving. 8th TABLEAU 1999, LNAI1617, pp. 171–185, Springer.

    Google Scholar 

  6. David Hilbert (1928). Die Grundlagen der Mathematik. Abhandlungen aus dem mathematischen Seminar der Univ. Hamburg 6, pp. 65–85.

    MATH  Google Scholar 

  7. David Hilbert, Paul Bernays (1968/70). Grundlagen der Mathematik. 2nd ed., Springer.

    Google Scholar 

  8. Michaël Kohlhase (1998). Higher-Order Automated Theorem Proving. In:Peter H. Schmitt (eds.) (1998). Automated Deduction — A Basis for Applications. Kluwer Acad. Publ.. [2], Vol. 1, pp. 431–462.

    Google Scholar 

  9. A. C. Leisenring (1969). Mathematical Logic and Hilbert’s ∈-Symbol. Gordon and Breach, New York.

    Google Scholar 

  10. Claus-Peter Wirth (2000). Descente Infinie + Deduction. Report 737/2000, FB Informatik, Univ. Dortmund. Extd. version, Feb. 1, 2002. http://ags.uni-sb. de/~cp/p/tab99/new.html (Feb. 01, 2002).

Download references

Author information

Authors and Affiliations

  1. FR Informatik, Saarland Univ., D-66041, Saarbrücken, Germany

    Claus-Peter Wirth

Authors
  1. Claus-Peter Wirth
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Abteilung Wisssenbasierte Systeme 184/3, Technische Univesität Wien, Favoritenstr. 9-11, 1040, Vienna, Austria

    Uwe Egly

  2. Institut für Computersprachen AG Theoretische Informatik und Logik 185.2, Technische Universität Wien, Favoritenstr. 9-11, 1040, Vienna, Austria

    Chritian G. Fermüller

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wirth, CP. (2002). A New Indefinite Semantics for Hilbert’s Epsilon. In: Egly, U., Fermüller, C.G. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 2002. Lecture Notes in Computer Science(), vol 2381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45616-3_21

Download citation

  • DOI: https://doi.org/10.1007/3-540-45616-3_21

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43929-5

  • Online ISBN: 978-3-540-45616-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation