J. Jay Zeman
Quantum Logic with Implication

References

Title

Notre Dame Journal of Formal Logic Volume XX; Number 4, October 1979 NDJFAM
Received March 12, 19.73; Revised March 15, 1979

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The author wishes to thank Robert Piziak for advice and comments in the course of research for this paper.
[1] Anderson, A. R., "Some open problems concerning the system E of entailment," Acta Philosophica Fennica, fasc. 16 (1963), pp. 7-18.
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[3] Birkhoff, G. and J. von Neuman, "The logic of quantum mechanics," Annals of Mathematics, vol. 37 (1936), pp. 823-843.
[4] Curry, H. B., Foundations of Mathematical Logic, McGraw-Hill, New York, 1963.
[5] Hacking, I., "What is strict implication?" The Journal of Symbolic Logic, vol. 26 (1963), pp. 51-71.
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[7] Kripke, S., "Semantical analysis of modal logic 1, normal propositional calculi," Zeitschrift fur mathematische Logik and Grundlagen der Mathematik, vol. 9 (1963), pp. 67-96.
[8] Mackey, G. W., Mathematical Foundations of Quantum Mechanics, W . A. Benjamen, New York, 1963.
[9] McKinsey, J. C. C. and A. Tarski, "Some theorems about the sentential calculi of Lewis and Heyting," The Journal of Symbolic Logic, vol. 13 (1948), pp. 1-15.
[10] Piziak, R., An Algebraic Generalization of Hilbert Space, PhD thesis, University of Massachusetts, 1969.
[11] Prior, A., "The theory of implication," Zeitschrift fur mathematische Logik and Grundlagen der Mathematik, vol. 9 (1963), pp. 1-6.
[12] Rosser, J. B., Logic for Mathematicians, McGraw-Hill, New York, 1953.
[13] Zeman, J. Jay, Modal Logic, Clarendon Press, Oxford, 1973.

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