Abstract
Strictly speaking, intuitionistic logic is not a modal logic. There are, after all, no modal operators in the language. It is a subsystem of classical logic, not [like modal logic] an extension of it. But... (thus Fitting, p. 437, trying to justify inclusion of a large chapter on intuitionist logic ‘in a book that is largely about modal logics’).
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References
A. I. Arruda and N. C. A. da Costa, ‘Sur le schéma de la séparation’, Nagoya Mathematical Journal 38 (1970), 71–84.
M. Fitting, Proof Methods for Modal and Intuitionistic Logics, D. Reidel, Dordrecht, 1983.
S. Haack, Deviant Logic, Cambridge University Press, 1974.
D. M. Gabbay, Semantical Investigations in Heyting's Intuitionistic Logics, D. Reidel, Dordrecht, 1981.
A. Heyting, Intuitionism, North Holland, Amsterdam, 1966.
S. C. Kleene, Introduction to Metamathematics, North Holland, Amsterdam, 1962.
P. F. Strawson, Introduction to Logical Theory, Methuen, London, 1952.
G. H. von Wright, An Essay in Modal Logic, North Holland, Amsterdam, 1951.
A. N. Whitehead and B. Russell, Principia Mathematica, vol 1, Cambridge University Press, 2nd edition, 1925; referred to as PM.
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Sylvan, R. Intuitionist logic — Subsystem of, extension of, or rival to, classical logic?. Philosophical Studies 53, 147–151 (1988). https://doi.org/10.1007/BF00355682
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DOI: https://doi.org/10.1007/BF00355682