What are Degrees of Belief?

Posted on by Simon Fokt

Probabilism is committed to two theses:
1) Opinion comes in degrees – call them degrees of belief, or credences.
2) The degrees of belief of a rational agent obey the probability calculus.

Correspondingly, a natural way to argue for probabilism is:
i) to give an account of what degrees of belief are, and then
ii) to show that those things should be probabilities, on pain of irrationality.

Most of the action in the literature concerns stage ii). Assuming that stage i) has been adequately discharged, various authors move on to stage ii) with varied and ingenious arguments. But an unsatisfactory response at stage i) clearly undermines any gains that might be accrued at stage ii) as far as probabilism is concerned: if those things are not degrees of belief, then it is irrelevant to probabilism whether they should be probabilities or not.

In this paper, the authors scrutinize the state of play regarding stage i). We critically examine several of the leading accounts of degrees of belief: reducing them to corresponding betting behavior (de Finetti); measuring them by that behavior (Jeffrey); and analyzing them in terms of preferences and their role in decision-making more generally (Ramsey, Lewis, Maher). We argue that the accounts fail, and so they are unfit to subserve arguments for probabilism. We conclude more positively: “degree of belief” should be taken as a primitive concept that forms the basis of our best theory of rational belief and decision: probabilism.

A Kantian Take on the Supererogatory

Posted on by Simon Fokt

Abstract: This article presents a Kantian alternative to the mainstream approach in ethics concerning the phenomena that are widely thought to require a category of the supererogatory. My view is that the phenomena do not require this category of imperfect duties. Elsewhere I have written on Kant on this topic; here I shift my focus away from interpretive issues and consider the pros and cons of the Kantian approach. What background assumptions would lean one to favour the Kantian approach and what sorts would lean one to favour the mainstream approach? I also consider the possibility that in institutional contexts, there is a need for the category of the supererogatory. Here, it seems, we do need to know what we really have to do and what is beyond the call of duty; in this context, however, duty is not the Kantian moral notion, but rather is pegged to particular roles, or to the needs of the institution or group or club of which one is a member. But even here, I argue, the notion of the supererogatory is not crucial.

What is Wrong with Promising to Supererogate

Posted on by Simon Fokt

Abstract: There has been some debate as to whether or not it is possible to keep a promise, and thus fulfil a duty, to supererogate. In this paper, I argue, in agreement with Jason Kawall, that such promises cannot be kept. However, I disagree with Kawall’s diagnosis of the problem and provide an alternative account. In the first section, I examine the debate between Kawall and David Heyd, who rejects Kawall’s claim that promises to supererogate cannot be kept. I disagree with Heyd’s argument, as it fails to get to the heart of the problem Kawall articulates. Kawall’s argument however fails to make clear the problem with promising to supererogate because his discussion relies on the plausibility of the following claim: that supererogatory actions cannot also fulfil obligations. I argue that this view is mistaken because there are clear examples of supererogatory actions that also fulfil obligations. In the final section, I give my alternative account of the problem, identifying exactly what is wrong with fulfilling a duty, and thus keeping a promise, to supererogate. My diagnosis emphasises the importance of identifying non-supererogatory actions when it comes to understanding the way in which supererogatory actions go above and beyond the call of duty.

Logical Consequence

Posted on by Simon Fokt

Description: This article is a short overview of philosophical and formal issues in the treatment and analysis of logical consequence. The purpose of the paper is to provide a brief introduction to the central issues surrounding two questions: (1) that of the nature of logical consequence and (2) that of the extension of logical consequence. It puts special emphasis in the role played by formal systems in the investigation of logical consequence.

Routledge Companion to Philosophy of Language

Posted on by Simon Fokt

Abstract: Philosophy of language is the branch of philosophy that examines the nature of meaning, the relationship of language to reality, and the ways in which we use, learn, and understand language. This companion provides a comprehensive and up-to-date survey of the field, charting its key ideas and movements, and addressing contemporary research and enduring questions in the philosophy of language. Unique to this companion is clear coverage of research from the related disciplines of formal logic and linguistics, and discussion of the applications in metaphysics, epistemology, ethics and philosophy of mind. The book is divided into seven sections: Core Topics; Foundations of Semantics; Parts of Speech; Methodology; Logic for Philosophers of Language; Philosophy of Language for the Rest of Philosophy; and Historical Perspectives.

The Analytic/Synthetic Distinction

Posted on by Simon Fokt

Abstract: Once a standard tool in the epistemologist’s kit, the analytic/synthetic distinction was challenged by Quine and others in the mid-twentieth century and remains controversial today. But although the work of a lot contemporary philosophers touches on this distinction – in the sense that it either has consequences for it, or it assumes results about it – few have really focussed on it recently. This has the consequence that a lot has happened that should affect our view of the analytic/synthetic distinction, while little has been done to work out exactly what the effects are. All these features together make the topic ideal for either a survey or research seminar at the graduate level: it can provide an organising theme which justifies a spectrum of classic readings from Locke to Williamson, passing though Kant, Frege, Carnap, Quine and Kripke on the way, but it could also provide an excuse for a much more narrowly construed research seminar which studies the consequences of really contemporary philosophy of language and linguistics for the distinction

Logical Pluralism

Posted on by Simon Fokt

Description: Survey article on logical pluralism. The article is divided into three main parts: i) in the first one the author presents the main arguments for logical pluralism with respect to logical consequence; ii) in the second part, the author considers the relation between logical pluralism and Carnap’s linguistic pluralism; iii) in the last section, the author considers further kinds of logical pluralism.

An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems

Posted on by Simon Fokt

Publisher’s note: This volume is an accessible introduction to the subject of many-valued and fuzzy logic suitable for use in relevant advanced undergraduate and graduate courses. The text opens with a discussion of the philosophical issues that give rise to fuzzy logic – problems arising from vague language – and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems – Lukasiewicz, Godel, and product logics – are then presented as generalizations of three-valued systems that successfully address the problems of vagueness. Semantic and axiomatic systems for three-valued and fuzzy logics are examined along with an introduction to the algebras characteristic of those systems. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, ask students to continue proofs begun in the text, and engage them in the comparison of logical systems.