Skip to main content

Inferential Many-Valuedness

  • Chapter
Philosophical Logic in Poland

Part of the book series: Synthese Library ((SYLI,volume 228))

Abstract

The problem of interpretation of logical values in addition to truth and falsity is still among the most controversial questions of contemporary logic. In connection with this the investigations of logical formalizations bore several descriptions of many-valued constructions in terms of zero-one valuations, cf. e.g. [6], [10] and [11]. Effectively, the interpretations associated with these descriptions shed new light on the problem of logical many-valuedness.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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.

Bibliography

  1. J. Czelakowski and G. Malinowski: 1985, `Key Notions of Tarski’s Methodology of Deductive Systems’, Studia Logica XLIV(4), 321–351.

    Google Scholar 

  2. G. Frege: 1892, `Über Sinn und Bedeutung’, Zeitschrift für Philosophie und philosophische Kritik C, 25–50.

    Google Scholar 

  3. J. Lukasiewicz, 1920, ’0 logice trójwartogciowej, Ruch Filozoficzny V, 170–171, English translation ‘On Three-Valued Logics’. In: L. Borkowski (Ed.) Selected works, North-Holland, Amsterdam 1970, 87–88.

    Google Scholar 

  4. G. Malinowski: 1977, `Classical Characterization of n-Valued Lukasiewicz Calculi’, Reports on Mathematical Logic 9, 41–45.

    MathSciNet  MATH  Google Scholar 

  5. G. Malinowski: 1990, `Q-Consequence Operation’, Reports on Mathematical Logic 24, 49–59.

    MathSciNet  MATH  Google Scholar 

  6. D. Scott, `Background to Formalisation’. In: H. Leblanc (Ed.) Truth, Syntax and Modality, North-Holland, Amsterdam, 1973, pp. 244–273.

    Google Scholar 

  7. R. Suszko. `Abolition of the Fregean Axiom’. In: R. Parikh (Ed.) Logic Colloquium, Symposium on Logic held in Boston, 1972–1973, Lecture Notes in Mathematics 453, 169–239.

    Google Scholar 

  8. R. Suszko: 1957 ‘Formalna teoria wartogci logicznych’, [Formal Theory of Logical Values], Studia Logica VI, 145–230.

    Google Scholar 

  9. R. Suszko: 1977, `The Fregean Axiom and Polish Mathematical Logic in the 1920s’, Studia Logica XXXVI(4), 377–380.

    Google Scholar 

  10. R. Suszko: 1975, `Remarks on Lukasiewicz’s Three-Valued Logic’, Bulletin of the Section of Logic 4 (3), 87–90.

    MathSciNet  Google Scholar 

  11. A. Urquhart: 1973, ‘An Interpretation of Many-Valued Logic’, Zeitschriftfür Mathematische Logik und Grundlagen der Mathematik 19, 111–114.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. Wójcicki: 1970, `Some Remarks on the Consequence Operation in Sentential Logics’, Fundamenta Mathematicae 68, 269–279.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Malinowski, G. (1994). Inferential Many-Valuedness. In: Woleński, J. (eds) Philosophical Logic in Poland. Synthese Library, vol 228. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8273-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-8273-5_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4276-7

  • Online ISBN: 978-94-015-8273-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics