Skip to main content
Log in

On Reichenbach’s Causal Betweenness

  • Original Article
  • Published:
Erkenntnis Aims and scope Submit manuscript

Abstract

We characterize, by easily verifiable properties, abstract ternary relations isomorphic to the causal betweenness introduced by Hans Reichenbach.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bumcrot, R. J. (1964). Betweenness geometry in lattices. Rendiconti del Circolo Matematico di Palermo, 13, 11–28.

    Article  Google Scholar 

  • Cartwright, N., & Jones, M. (1991). How to hunt quantum causes. Erkenntnis, 35, 205–231.

    Google Scholar 

  • Dowe, P. (1992). Process causality and asymmetry. Erkenntnis, 37, 179–196.

    Article  Google Scholar 

  • Ellett, F. S. Jr., & Ericson, D. P. (1986). Correlation, partial correlation, and causation. Synthese, 67, 157–173.

    Article  Google Scholar 

  • Garey, M. R., & Johnson, D. S. (1979). Computers and intractability: A guide to the theory of NP-completeness. San Francisco: W.H. Freeman and Company.

    Google Scholar 

  • Grünbaum, A. (1973). Philosophical problems of space and time. Dordrecht: D. Reidel.

    Book  Google Scholar 

  • Hashimoto, J. (1958). Betweenness geometry. Osaka Mathematical Journal, 10, 147–158.

    Google Scholar 

  • Korb, K. B. (1999). Probabilistic causal structure. In H. Sankey (Ed.), Causation and laws of nature (pp. 265–311). The Netherlands: Kluwer.

    Google Scholar 

  • Opatrný, J. (1979). Total ordering problem. SIAM Journal on Computing, 8, 111–114.

    Article  Google Scholar 

  • Pitcher, E., & Smiley, M. F. (1942). Transitivities of betweenness. Transactions of the American Mathematical Society, 52, 95–114.

    Google Scholar 

  • Reichenbach, H. (1956). The direction of time. Berkeley, Los Angeles: University of California Press.

    Google Scholar 

  • Salmon, W. C. (1980). Probabilistic causality. Pacific Philosophical Quarterly, 61, 50–74.

    Google Scholar 

  • Smiley, M. F. (1943). A comparison of algebraic, metric, and lattice betweenness. Bulletin of the American Mathematical Society, 49, 246–252.

    Article  Google Scholar 

  • von Bretzel, P. (1977). Concerning a probabilistic theory of causation adequate for the causal theory of time. Synthese, 35, 173–190.

    Article  Google Scholar 

  • Weber, G. D. (1997). Discovering causal relations by experimentation: Causal trees. In Proceedings of the eighth midwest AI and cognitive science conference (pp. 91–98). Menlo Park: Association for the Advancement of Artificial Intelligence.

Download references

Acknowledgments

This note was written while the second author was visiting the first author in ConCoCO (Concordia Computational Combinatorial Optimization Laboratory). The research was undertaken, in part, thanks to funding from the Canada Research Chairs Program and by the China Scholarship Council. In addition to expressing their gratitude for this support, the authors want to thank the two anonymous referees for their thoughtful suggestions, which helped to improve the introductory section.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vašek Chvátal.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chvátal, V., Wu, B. On Reichenbach’s Causal Betweenness. Erkenn 76, 41–48 (2012). https://doi.org/10.1007/s10670-011-9321-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10670-011-9321-z

Keywords

Navigation