An introduction to modal and many-valued logics, with emphasis on philosophical motivation through a study of applications and paradoxes.
J. C. Beall and B. C. van Fraassen, Possibilities and Paradoxes: An Introduction to Modal and Many-Valued Logics. (Required for purchase)
Exercises are to be handed in weekly. The final exam may be replaced (upon special permission by the professor) by a term paper. P/D/F is not permitted.
Introduction to a unified approach to modal and many-valued logic
Reading: PP, Ch. 1; Herman Weyl, "The ghost of modality"
Logics and languages: semantic concepts, consequence relations
Reading: PP, Chs. 2-3
The normal modal logics, proof techniques and intuitive semantics
Reading: PP, Chs. 4-5; B. Jack Copeland, "The genesis of possible world semantics"
Variations: non-normal modalities, intuitionistic logic, and logic of conditionals, deontic logic
Reading: PP, Ch. 6; R. Hilpinen, "Deontic, epistemic, and temporal modal logics"; B. van Fraassen, "The logic of conditional obligation" and "values and the heart's command"
Philosophical motivations for many-valued logic
Reading: PP, Ch. 7; R. Grandy, "Many-valued, free, and intuitionistic logic"; B. van Fraassen, "Presupposition, implication, and self-reference"
Relevance logic, and the logic of paradox
Reading: PP, Ch. 8; K. Simmons, "Semantic and logical paradoxes"; B. van Fraassen, "Facts and tautological entailment"
Some metatheorems and their philosophical significance
Reading: PP, selections from Chs. 11-12.