Abstract
We saw, in Chapter 4, that two basic kinds of quantification were natural in first-order modal logics: possibilist and actualist. Possibilist quantifiers range over what might exist. This corresponds semantically to constant domain models where the common domain is, intuitively, the set of things that could exist. We also saw that in the possibilist approach we could introduce an existence primitive (Section 4.8) and relativize quantifiers to it, permitting the possibilist approach to paraphrase the actualist version.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Fitting, M., Mendelsohn, R.L. (1998). Existence and Actualist Quantification. In: First-Order Modal Logic. Synthese Library, vol 277. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5292-1_8
Download citation
DOI: https://doi.org/10.1007/978-94-011-5292-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-5335-5
Online ISBN: 978-94-011-5292-1
eBook Packages: Springer Book Archive