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

Keywords

Related Articles

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...

Sweet SIXTEEN: Automation via Embedding into Classical Higher-Order Logic

An embedding of many-valued logics based on SIXTEEN in classical higher-order logic is presented. SIXTEEN generalizes the four-valued set of truth degrees of Dunn/Belnap’s system to a lattice of sixteen truth degrees wit...

The Need for Pluralism of Causality

It will be shown in this article that a pluralism of causality is needed. Not only, as might be expected, for such different domains as natural sciences and humanities, but even within the domain of physics different cau...

Mereology and Infinity

This paper deals with the treatment of infinity and finiteness in mereology. After an overview of some first-order mereological theories, finiteness axioms are introduced along with a mereological definition of “x is fin...

Informal Fallacies as Abductive Inferences

All who teach logic are familiar with informal fallacies such as ad ignorantium (appeal to ignorance) and ad populum (appeal to popularity). While it is easy to give clear examples of poor reasoning of this sort, instruc...

Download PDF file
  • EP ID EP201783
  • DOI 10.12775/LLP.2015.021
  • Views 75
  • Downloads 0

How To Cite

Nicholas J. J. Smith (2016). A Theory of Propositions. Logic and Logical Philosophy, 25(1), 83-125. https://www.europub.co.uk/articles/-A-201783