NDLI: Modes of Adjointness

Content Provider	Springer Nature Link
Author	Menni, M. Smith, C.
Copyright Year	2013
Abstract	The fact that many modal operators are part of an adjunction is probably folklore since the discovery of adjunctions. On the other hand, the natural idea of a minimal propositional calculus extended with a pair of adjoint operators seems to have been formulated only very recently. This recent research, mainly motivated by applications in computer science, concentrates on technical issues related to the calculi and not on the significance of adjunctions in modal logic. It then seems a worthy enterprise (both for these contemporary topical pursuits and also for historical interest) to trace the concept of adjunction back to the origins of the algebraic semantics of modal logic and to make explicit its ubiquity in this branch of mathematics.
Starting Page	365
Ending Page	391
Page Count	27
File Format	PDF
ISSN	00223611
Journal	Journal of Philosophical Logic
Volume Number	43
Issue Number	2-3
e-ISSN	15730433
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-01-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Modal logic Adjoint functors Logic
Content Type	Text
Resource Type	Article
Subject	Philosophy

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Modes of Adjointness