Acta Analytica 35 (2):165-179 (2020)

Authors
Cheng-Chih Tsai
Mackay Medical College
Abstract
If to be is to be the value of a bound variable, then the acknowledgment and denial of the existence of chairs amounts to a serious disagreement about the range of a quantifier. However, by resorting to the intrinsic hierarchical structure of hi-world semantics, we find that the varying of domains from worlds to worlds can actually be accommodated within a unified framework. With the introduction of a universal domain D of hi-individuals and an existence predicate E that serves as a realization operator, a new semantics for quantified modal logic is proposed. It allows individual variables to range over individuals in different levels of a hi-world, and is indifferent to the ontological debate about the existence of chairs.
Keywords hi-world semantics  hi-individuals  existence
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DOI 10.1007/s12136-019-00401-4
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References found in this work BETA

Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford University Press.
On What Grounds What.Jonathan Schaffer - 2009 - In David Manley, David J. Chalmers & Ryan Wasserman (eds.), Metametaphysics: New Essays on the Foundations of Ontology. Oxford University Press. pp. 347-383.
Bare Possibilia.Timothy Williamson - 1998 - Erkenntnis 48 (2-3):257--73.
In Defense of the Contingently Nonconcrete.Bernard Linsky & Edward N. Zalta - 1996 - Philosophical Studies 84 (2-3):283-294.

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