Actualism and higher-order worlds

Philosophical Studies 115 (2):149 - 178 (2003)
Reina Hayaki
University of Nebraska, Lincoln
It has been argued that actualism – the view that there are no non-actual objects – cannot deal adequately with statements involving iterated modality, because such claims require reference, either explicit or surreptitious, to non-actual objects. If so, actualists would have to reject the standard semantics for quantified modal logic (QML). In this paper I develop an account of modality which allows the actualist to make sense of iterated modal claims that are ostensibly about non-actual objects. Every occurrence of a modal operator involves the stipulation of a possible world, and nested modal operators require stipulation of nested possible worlds. I provide an actualistically acceptable (AA) semantics for QML wherein the nesting relation is irreflexive and intransitive and forms a tree. Despite these restrictions, AA models can beshown to be sound and complete for a wide variety of modal logics.
Keywords Philosophy   Philosophy   Epistemology   Logic   Philosophy of Mind   Philosophy of Religion
Categories (categorize this paper)
Reprint years 2004
DOI 10.1023/A:1025050806424
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: 34,581
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

Fictions Within Fictions.Reina Hayaki - 2009 - Philosophical Studies 146 (3):379 - 398.

Add more citations

Similar books and articles

A Classically-Based Theory of Impossible Worlds.Edward N. Zalta - 1997 - Notre Dame Journal of Formal Logic 38 (4):640-660.
Lycan on Lewis and Meinong.Peter J. King - 1992 - Proceedings of the Aristotelian Society 93:193 - 201.
Ontology-Free Modal Semantics.Greg Ray - 1996 - Journal of Philosophical Logic 25 (4):333 - 361.
Worlds and Times.Ulrich Meyer - 2006 - Notre Dame Journal of Formal Logic 47 (1):25--37.
Fictions Within Fictions.Reina Hayaki - 2009 - Philosophical Studies 146 (3):379 - 398.
Actualism.Christopher Menzel - 2008 - Stanford Encyclopedia of Philosophy.


Added to PP index

Total downloads
74 ( #84,614 of 2,268,377 )

Recent downloads (6 months)
1 ( #373,468 of 2,268,377 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature