Logics Without Existence Assumptions [Book Review]

Review of Metaphysics 23 (3):565-565 (1970)

In this book the author develops his own systems of and semantics for presupposition free logic. He calls his systems logics without existence assumptions, by which he means logical systems which are sound and complete with respect to a semantic theory in which a universe of discourse can be empty but any term which denotes must denote something in the universe, all predicates including identity represent relations holding among members of the universe and the quantifiers range over just all the members of the universe. In a brief introductory chapter the author reviews the motivations for constructing non-standard logics of this kind and briefly discusses what he takes to be the limitations of previous work done in the field. Persons interested in the philosophical problems and uses of such logics are likely to find this chapter interesting though disappointingly brief. Four of the eight chapters are devoted to the development of a natural deduction system N which is a logic without existence assumptions in the author's sense. The system N is shown to be sound and complete with respect to the author's semantics. An axiomatic system L is later developed and shown to be equivalent to N. The final chapter is devoted to discussing the relation of his work to many-valued logics, modal logics, intuitionistic logic and the theory of classes among other topics. The author believes that logics without existence assumptions "will in the long run displace the less natural and more narrow standard logics."--R. H. K.
Keywords Catholic Tradition  Contemporary Philosophy  General Interest
Categories (categorize this paper)
ISBN(s) 0034-6632
DOI revmetaph197023336
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 47,299
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles


Added to PP index

Total views
18 ( #516,197 of 2,290,759 )

Recent downloads (6 months)
1 ( #834,658 of 2,290,759 )

How can I increase my downloads?


My notes

Sign in to use this feature