Doxastic logic, beginning with Hintikka’s Knowledge and Belief. An Introduction to the Logic of the Two Notions (1962. Cornell University Press), studies relations between propositions about what we believe. Using ‘a’ as a proper name like ‘Ann’, ‘→’ for ‘if’ as opposed to material implication, propositional variables such as ‘p’, ‘q’ and ‘B’ to represent the two-place relation, ‘ . . . believes that . . . ’.
Key Terms in Logic
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WILLIAMS, John Nicholas, "Logic, Doxastic" (2010). Research Collection School of Social Sciences. Paper 1745.
Available at: http://ink.library.smu.edu.sg/soss_research/1745