Umfang:
XI, 418 S. : graph. Darst.
Ausgabe:
1. publ.
ISBN:
0-521-41267-6
Inhalt:
Professor Koslow advances a new account of the basic concepts of logic. A central feature of the theory is that is does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part III defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is followed by a substantial treatment of the extensionality of each of the operators, as well as the relation of negation and its dual, because of the novel results they yield. Part IV considers modal operators and examines their interactions with logical operators. By obtaining the usual results without the usual assumptions, this new approach allows one to give a very simple account of modal logic, minus the excess baggage of possible world semantics. The book is aimed at philosophers, logicians, mathematicians, linguists, and computer scientists. It will be accessible to advanced undergraduates and graduates in those fields.
Sprache:
Englisch
Fachgebiete:
Philosophie
Schlagwort(e):
Mathematische Logik
;
Strukturalismus
;
Logik
;
Belnap-Programm
