A Theory of Propositions
Journal Title: Logic and Logical Philosophy - Year 2016, Vol 25, Issue 1
Abstract
In this paper I present a new theory of propositions, according to which propositions are abstract mathematical objects: well-formed formulas together with models. I distinguish the theory from a number of existing views and explain some of its advantages – chief amongst which are the following. On this view, propositions are unified and intrinsically truthbearing. They are mind- and language-independent and they are governed by logic. The theory of propositions is ontologically innocent. It makes room for an appropriate interface with formal semantics and it does not enforce an overly fine or overly coarse level of granularity.
Authors and Affiliations
Nicholas J. J. Smith
Set-theoretic mereology
We consider a set-theoretic version of mereology based on the inclusion relation ⊆ and analyze how well it might serve as a foundation of mathematics. After establishing the non-definability of ∈ from ⊆, we identify the...
Interplays of knowledge and non-contingency
This paper combines a non-contingency logic with an epistemic logic by means of fusions and products of modal systems. Some consequences of these interplays are pointed out.
The lattice of Belnapian modal logics: Special extensions and counterparts
Let K be the least normal modal logic and BK its Belnapian version, which enriches K with ‘strong negation’. We carry out a systematic study of the lattice of logics containing BK based on: • introducing the classes (or...
Can Başkent (ed.), Perspectives on Interrogative Models of Inquiry, Springer, 2016
Book Reviews: Can Başkent (ed.), Perspectives on Interrogative Models of Inquiry, Logic, Argumentation & Reasoning, Volume 8, Springer, 2016, vii + 197 pages, ISBN: 978-3-319-20761-2 (Print), 978-3-319-20762-9 (Online)....
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