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
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.
Mereology and truth-making
Many mereological propositions are true contingently, so we are entitled to ask why they are true. One frequently given type of answer to such questions evokes truth-makers, that is, entities in virtue of whose existence...
Tomasz Jarmużek and Marcin Tkaczyk: “Normalne logiki pozycyjne” (Normal Positional Logics), Wydawnictwo KUL, Lublin (Poland), 2015
Book Reviews: Tomasz Jarmużek and Marcin Tkaczyk, Normalne logiki pozycyjne (Normal Positional Logics), Wydawnictwo KUL, Lublin (Poland), 2015, 202 pages, ISBN 978-838061-114-6.
Composition as identity and plural Cantor's theorem
In this paper, I argue that the thesis of Composition as Identity blocks the plural version of Cantor’s Theorem, and that this in turn has implications for our use of Cantor’s theorem in metaphysics. As an example, I sho...
The mereology of structural universals
This paper explores the mereology of structural universals, using the structural richness of a non-classical mereology without unique fusions. The paper focuses on a problem posed by David Lewis, who using the example of...