Boulesic-Doxastic Logic
| Autor: | Daniel Rönnedal |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
geography
geography.geographical_feature_category Programming language Computer science 010102 general mathematics Doxastic logic 06 humanities and the arts General Medicine 0603 philosophy ethics and religion computer.software_genre 01 natural sciences Set (abstract data type) 060302 philosophy 0101 mathematics computer Sound (geography) |
| Zdroj: | The Australasian Journal of Logic. 16:83-132 |
| ISSN: | 1448-5052 |
| DOI: | 10.26686/ajl.v16i3.4158 |
| Popis: | In this paper, I will develop a set of boulesic-doxastic tableau systems and prove that they are sound and complete. Boulesic-doxastic logic consists of two main parts: a boulesic part and a doxastic part. By ‘boulesic logic’ I mean ‘the logic of the will’, and by ‘doxastic logic’ I mean ‘the logic of belief’. The first part deals with ‘boulesic’ concepts, expressions, sentences, arguments and theorems. I will concentrate on two types of boulesic expression: ‘individual x wants it to be the case that’ and ‘individual x accepts that it is the case that’. The second part deals with ‘doxastic’ concepts, expressions, sentences, arguments and theorems. I will concentrate on two types of doxastic expression: ‘individual x believes that’ and ‘it is imaginable to individual x that’. Boulesic-doxastic logic investigates how these concepts are related to each other. Boulesic logic is a new kind of logic. Doxastic logic has been around for a while, but the approach to this branch of logic in this paper is new. Each system is combined with modal logic with two kinds of modal operators for historical and absolute necessity and predicate logic with necessary identity and ‘possibilist’ quantifiers. I use a kind of possible world semantics to describe the systems semantically. I also sketch out how our basic language can be extended with propositional quantifiers. All the systems developed in this paper are new. |
| Databáze: | OpenAIRE |
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