Skip to main content

The Conceptualization of Time in Boole’s Algebraic Logic

  • Chapter
A Boole Anthology

Part of the book series: Synthese Library ((SYLI,volume 291))

Abstract

In the Laws of Thought, Boole abandoned the interpretation of secondary propositions based on the notion of ‘conjunctures of circumstances’ (or in terms of the ‘uni-verse of cases’) as proposed in Mathematical Analysis of Logic,1 and developed an original semantical theory based upon temporal relations between propositions.2 This new approach emphasizes the notion of duration in order to give a temporal interpretation of several propositions and thereby to determine the respective periods of their duration.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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.

Similar content being viewed by others

References

  • Boole, G. 1847. The mathematical analysis of logic, being an essay towards a calculus of deductive reasoning. Cambridge: Macmillan, Barclay and Macmillan. Reprinted in Boole (1952), 45–119.

    Google Scholar 

  • Boole, G. 1854. An investigation of the laws of thought on which are founded the mathematical theories of logic and probabilities. London: Walton and Maberley.

    Google Scholar 

  • Boole, G. 1952. Studies in logic and probability. Edited by R. Rhees. La Salle: Open Court.

    Google Scholar 

  • Carnap, R. 1934. Logische Syntax der Sprache. Wien: Julius Springer.

    Book  Google Scholar 

  • Frege, G. 1979. Posthumous writings. Oxford: Blackwell.

    Google Scholar 

  • Hailperin, T. 1986. Boole’s logic and probability. 2nd ed. Amsterdam: North-Holland.

    Google Scholar 

  • Kneale, W., and M. Kneale. 1962. The development of logic. Oxford: Clarendon Press.

    Google Scholar 

  • Prior, A.N. 1948. Categoricals and hypotheticals in George Boole and his successors. The Australasian Journal of Philosophy 27: 171–96.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Godart-Wendling, B. (2000). The Conceptualization of Time in Boole’s Algebraic Logic. In: Gasser, J. (eds) A Boole Anthology. Synthese Library, vol 291. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9385-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9385-4_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5491-3

  • Online ISBN: 978-94-015-9385-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics