A logic is called higher order if it allows for quantification (and possibly ab- straction) over higher order objects, such as functions of individuals, ...
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In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers ...
Feb 29, 2000 · Modal logic is, strictly speaking, the study of the deductive behavior of the expressions 'it is necessary that' and 'it is possible that'.
Higher-order modal logic is proposed as a suitably general setting in which to assess fundamental issues in modal metaphysics. However, there are difficulties ...
We present a logic that we call higher order fixed point logic (HFL). At the level of terms, HFL is a simple full-fledged union of propositional logic, modality.
Feb 28, 2014 · Abstract:We define the notion of a model of higher-order modal logic in an arbitrary elementary topos \mathcal{E}.
to a full higher-order modal logic. In this paper we present a sketch of just such a higher-order modal logic: its formal semantics, and a proof procedure ...
This chapter focuses at some of the motivations for combining modality with quantification and abstraction over objects of higher order.
Intensional and Higher-Order Modal Logic. North-Holland, Amsterdam, 1975. [23] L.T.F. Gamut. Logic, Language and Meaning. University of Chicago Press ...
Mar 2, 2023 · In this article, we discuss a simple argument that modal metaphysics is misconceived, and responses to it. Unlike Quine's, this argument ...