In: Organon F, vol. 27, no. 2
Daniel Rönnedal
Details:
Year, pages: 2020, 187 - 262
Language: eng
Keywords:
Boulesic logic; deontic logic; modal logic; practical rationality; the hypothetical imperative; the logic of the will; semantic tab leaux.
Article type: Research Article
About article:
In this paper, I will discuss boulesic and deontic logic and the relationship between these branches of logic. By ‘boulesic logic,’ or ‘the logic of the will,’ I mean a new kind of logic that deals with ‘boulesic’ concepts, expressions, sentences, arguments and systems. 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.’ These expressions will be symbolised by two sentential operators that take individuals and sentences as arguments and give sentences as values. Deontic logic is a relatively well-established branch of logic. It deals with normative concepts, sentences, arguments and systems. In this paper, I will show how deontic logic can be grounded in boulesic logic. I will develop a set of semantic tableau systems that include boulesic and alethic operators, possibilist quantifiers and the identity predicate; I will then show how these systems can be augmented by a set of deontic operators. I use a kind of possible world semantics to explain the intended meaning of our formal systems. Intuitively, we can think of our semantics as a description of the structure of a perfectly rational will. I mention some interesting theorems that can be proved in our systems, including some versions of the so-called hypothetical imperative. Finally, I show that all systems that are described in this paper are sound and complete with respect to their semantics.
How to cite:
ISO 690:
Rönnedal, D. 2020. Boulesic Logic, Deontic Logic and the Structure of a Perfectly Rational Will. In Organon F, vol. 27, no.2, pp. 187-262. 1335-0668. DOI: https://doi.org/10.31577/orgf.2020.27203
APA:
Rönnedal, D. (2020). Boulesic Logic, Deontic Logic and the Structure of a Perfectly Rational Will. Organon F, 27(2), 187-262. 1335-0668. DOI: https://doi.org/10.31577/orgf.2020.27203
About edition:
Publisher: Filozofický ústav SAV, Filosofický ústav AVČR
Published: 2. 5. 2020
Rights:
