Modalities and Multimodalities: With the assistance and collaboration of Juliana Bueno-Soler

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In the last two decades modal logic has undergone an explosive growth, to thepointthatacompletebibliographyofthisbranchoflogic,supposingthat someone were capable to compile it, would ?ll itself a ponderous volume. What is impressive in the growth of modal logic has not been so much the quick accumulation of results but the richness of its thematic dev- opments. In the 1960s, when Kripke semantics gave new credibility to the logic of modalities? which was already known and appreciated in the Ancient and Medieval times? no one could have foreseen that in a short time modal logic would become a lively source of ideas and methods for analytical philosophers,historians of philosophy,linguists, epistemologists and computer scientists. The aim which oriented the composition of this book was not to write a new manual of modal logic (there are a lot of excellent textbooks on the market, and the expert reader will realize how much we bene?ted from manyofthem)buttoo?ertoeveryreader,evenwithnospeci?cbackground in logic, a conceptually linear path in the labyrinth of the current panorama of modal logic. The notion which in our opinion looked suitable to work as a compass in this enterprise was the notion of multimodality, or, more speci?cally, the basic idea of grounding systems on languages admitting more than one primitive modal operator.

Author(s): Walter Carnielli, Claudio Pizzi
Series: Logic, Epistemology, and the Unity of Science, 12
Publisher: Springer
Year: 2008

Language: English
Commentary: incorrect pagination
Pages: 312
Tags: Logic; Philosophy; History of Philosophy; Mathematical Logic and Formal Languages; Mathematical Logic and Foundations

Front Matter....Pages i-xiii
Modal logic and standard logic....Pages 1-24
The syntax of normal modal systems....Pages 25-48
The semantics of normal modal systems....Pages 49-86
Completeness and canonicity....Pages 87-116
Incompleteness and finite models....Pages 117-140
Temporal logics....Pages 141-181
Epistemic logic: knowledge and belief....Pages 183-204
Multimodal logics....Pages 205-239
Towards quantified modal logic....Pages 241-272
Back Matter....Pages 273-303