Skip to main content
Log in

Universal Logic: Evolution of a Project

  • Published:
Logica Universalis Aims and scope Submit manuscript


We discuss the origin and development of the universal logic project. We describe in particular the structure of UNILOG, a series of events created for promoting the universal logic project, with a school, a congress, a secret speaker and a contest. We explain how the contest has evolved into a session of logic prizes.

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


  1. Beziau, J.-Y.: Universal logic. In: Childers, T., Majer, O. (eds.) Logica94—Proceedings of the 8th International Symposium, pp. 73–93. Prague (1994)

  2. Beziau, J.-Y.: Recherches sur la logique universelle. Ph.D., Department of Mathematics, University of Paris 7 (1995)

  3. Beziau, J.-Y.: From paraconsistent to universal logic. Sorites 12, 5–32 (2001)

    MathSciNet  Google Scholar 

  4. Beziau, J.-Y.: From consequence operator to universal logic: a survey of general abstract logic. In: Logica Universalis: Towards a General Theory of Logic, pp. 3–17. Birkhäuser, Basel (2005)

  5. Beziau, J.-Y.: 13 Questions about universal logic. Bull. Sect. Logic 35, 133–150 (2006)

    MathSciNet  MATH  Google Scholar 

  6. Beziau, J.-Y.: What is a logic? Towards axiomatic emptiness. Log. Investig. 16, 272–279 (2010)

    MathSciNet  MATH  Google Scholar 

  7. Beziau, J.-Y.: Logic is not logic. Abstrata 6, 73–102 (2010)

    Google Scholar 

  8. Beziau, J.-Y.: The relativity and universality of logic. Synthese—Special Issue Istvan Németi 70th Birthday, vol. 192, pp. 1929–1954 (2015)

  9. Beziau, J.-Y.: Is the principle of contradiction a consequence of \(x^{2}=x\)? Logica Universalis 12 (2018).

  10. Bhattacharjee, R., Chakraborty, M.K., Choudhury, L.: Venn diagram with names of individuals and their absence: a non-classical diagram logic. Logica Universalis 12 (2018).

  11. Birkhoff, G.: Universal algebra. In: Rota, G.-C., Oliveira, J.S. (eds.) Selected Papers on Algebra and Topology by Garret Birkhoff, pp. 111–115. Birkhäuser, Basel (1987)

    Google Scholar 

  12. Bourbaki, N.: L’architecture des mathématiques. In: Le Lionnais, F. (ed.) Les grands courants de la pensée mathématique, Cahiers du Sud, pp. 35–48 (1948). English Translation: The Architecture of Mathematics, The American Mathematical Monthly, vol. 57, pp. 221–232 (1950)

  13. Chatti, S.: Arabic Logic from al-Farabi to Averroes. Birkhäuser, Basel (2018)

    Google Scholar 

  14. Chentsov, A., Nikitchenko, M.: Composition-nominative logics as institutions. Logica Universalis 12 (2018).

  15. Corcoran, J.: Aristotle’s prototype rule-based underlying logic. Logica Universalis 12 (2018).

  16. da Costa, N.C.A., Beziau, J.-Y., Bueno, O.A.S.: Paraconsistent logic in a historical perspective. Logique et Analyse 150–152, 111–125 (1995)

    MathSciNet  MATH  Google Scholar 

  17. Diaconescu, R.: Institution-Independent Model Theory. Birkhäuser, Basel (2008)

    MATH  Google Scholar 

  18. Garrido, A., Wybraniec-Skardowska, U. (eds.): The Lvov-Warsaw School—Past and Present. Birkhäuser, Basel (2018)

  19. Hodges, W.: Two early Arabic applications of model-theoretic consequence. Logica Universalis 12 (2018).

  20. Max, I.: A molecular logic of chords and their internal harmony. Logica Universalis 12 (2018).

  21. Mruczek-Nasieniewska, K., Nasieniewski, M.: A characterisation of some Z-like logics. Logica Universalis 12 (2018).

  22. Pasquali, F.: On a generalization of equilogical spaces. Logica Universalis 12 (2018).

  23. Petrukhin, Y.: Natural deduction for post’s logics and their duals. Logica Universalis 12 (2018).

  24. Poizat, B., Yeshkeyev, A.: Positive Jonsson theories. Logica Universalis 12 (2018).

  25. Sylvester, J.J.: Lectures on the principles of universal algebra. Am. J. Math. 6, 270–286 (1884)

    Article  MathSciNet  MATH  Google Scholar 

  26. Tarski, A.: Logic, Semantics, Metamathematics, 2nd edition prestend by J. Corcoran. Hackett, Indianapolis (1983)

  27. Whitehead, A.N.: A Treatise on Universal Algebra. Cambridge University Press, Cambridge (1898)

    MATH  Google Scholar 

  28. Woleński, J.: Adolf Lindenbaum. Internet Encyclopedia of Philosophy. (2018)

  29. Zygmunt, J., Purdy, R.: Adolf lindenbaum: notes on his life with bibliography and selected references. Logica Universalis 8, 285–320 (2014)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Jean-Yves Beziau.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Beziau, JY. Universal Logic: Evolution of a Project. Log. Univers. 12, 1–8 (2018).

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI:

Mathematics Subject Classification