A conditional logic with λ-operator

Authors

  • Evgeny Borisov Institute of Philosophy and Law SB RAS (Novosibirsk)

DOI:

https://doi.org/10.47850/RL.2026.7.2.22-29

Keywords:

conditionals, conditional logics, possible world semantics, de re, de dicto, λ-operator.

Abstract

Conditional logics are designed to model natural language reasoning involving conditionals. They contain a conditional operator representing natural language connective “if ..., then ...”. It is an intensional operator, so its interplay with non-rigidly interpreted individual constants in first-order conditional logics generates the de re / de dicto distinction. In some first-order modal logics, the distinction is represented using λ-operator. In the present paper, it is shown that this tool of representation of the de re / de dicto distinction can be used in conditional first-order logics as well.

Author Biography

Evgeny Borisov, Institute of Philosophy and Law SB RAS (Novosibirsk)

Doctor   of   Philosophical   Sciences,   Chief   Researcher

References

Chellas, B. F. (1980). Modal Logic. An Introduction. Cambridge. Cambridge University Press. Fitting, M., Mendelsohn, R. L. (2023). First-Order Modal Logic. Dordrecht. Springer.

Grahne, G. (1998). Updates and Counterfactuals. Journal of Logic and Computation. Vol. 8. Iss. 1. Pp. 87-117.

Nute, D., Cross, C. B. (2001). Conditional Logic. In Gabbay, D. M., Guenthner, F. (eds.) Handbook of Philosophical Logic. Vol. 4. Dordrecht. Kluwer. Pp. 1-98.

Nute, D. (1980). Topics in Conditional Logic. Dordrecht, Boston, London. Reidel.

Priest, G. (2008). An Introduction to Non-Classical Logic. From If to Is. Cambridge. Cambridge University Press.

Published

2026-06-17

How to Cite

Borisov Е. В. (2026). A conditional logic with λ-operator. Respublica Literaria, 7(2), 22–29. https://doi.org/10.47850/RL.2026.7.2.22-29