This multiplex semantics incorporates multiple relations of deontic accessibility or multiple preference rankings on alternative worlds to represent distinct normative standards. This provides a convenient framework for deontic logic that allows conflicts of obligation, due either to conflicts between normative standards or to incoherence within a single standard. With the multiplex structures, two general senses of "ought" may be distinguished, an indefinite sense under which something is obligatory when it is enjoined by some normative standard and a core sense for (...) when something is enjoined by all normative standards. Multiple normative standards may themselves be given a preferential order; this leads to a concept of ranked obligation. This paper presents the foundations of this multiplex semantics and the propositional deontic logics they define. (shrink)

On the face of it, normative conflicts are commonplace. Yet standard deontic logic declares them to be logically impossible. That prompts the question, What are the proper principles of normative reasoning if such conflicts are possible? This paper examines several alternatives that have been proposed for a logic of 'ought' that can accommodate normative conflicts, and finds all of them unsatisfactory as measured against three criteria of adequacy. It then introduces a new logic that does meet all three criteria, and (...) so allows for the possibility of genuine normative conflicts. (shrink)

This paper presents a neighborhood semantics for logics of entailment. It begins with a minimal system Min that expresses the most fundamental assumptions about the entailment relation, and continues by examining various extensions that reflect further assumptions that might be made about entailment. This leads first to the logic B that is the basic relevant logic, and then to more powerful systems. All of these logics are proved to be sound and strongly complete. With B the neighborhood semantics meets the (...) Routley-Meyer relational semantics for relevant logic; these connections are examined. The minimal and basic entailment logics are shown to have the finite model property, and hence to be decidable. (shrink)

This volume presents a definitive introduction to twenty core areas of philosophical logic including classical logic, modal logic, alternative logics and close examinations of key logical concepts.

Combinator logics are a broad family of substructual logics that are formed by extending the basic relevant logic B with axioms that correspond closely to the reduction rules of proper combinators in combinatory logic. In the Routley-Meyer relational semantics for relevant logic each such combinator logic is characterized by the class of frames that meet a first-order condition that also directly corresponds to the same combinator's reduction rule. A second family of logics is also introduced that extends B with the (...) addition of propositional constants that correspond to combinators. These are characterized by relational frames that meet first-order conditions that reflect the structures of the combinators themselves. (shrink)

Deontic logic ought to be fundamental to ethical theory and the theory of practical reasoning, but, for various reasons, it hasn’t been. James Forrester faults the standard systems themselves; so, in place of standard deontic logic, he proposes a new deontic logic that should, he thinks, serve moral philosophy more adequately.

The relevant modal logic G is a simple extension of the logic RT, the relevant counterpart of the familiar classically based system T. Using the Routley-Meyer semantics for relevant modal logics, this paper proves three main results regarding G: (i) G is semantically complete, but only with a non-standard interpretation of necessity. From this, however, other nice properties follow. (ii) With a standard interpretation of necessity, G is semantically incomplete; there is no class of frames that characterizes G. (iii) The (...) class of frames for G characterizes the classically based logic T. (shrink)

The results of this paper extend some of the intimate relations that are known to obtain between combinatory logic and certain substructural logics to establish a general characterization theorem that applies to a very broad family of such logics. In particular, I demonstrate that, for every combinator X, if LX is the logic that results by adding the set of types assigned to X (in an appropriate type assignment system, TAS) as axioms to the basic positive relevant logic B∘T, then (...) LX is sound and complete with respect to the class of frames in the Routley-Meyer relational semantics for relevant and substructural logics that meet a first-order condition that corresponds in a very direct way to the structure of the combinator X itself. (shrink)

What is philosophical logic? Philosophical logic is philosophy that is logic, and logic that is philosophy. It is where philosophy and logic come together and become one. Philosophical logic is not a special kind of logic, some species distinct from mathematical logic, symbolic logic, formal logic, informal logic, modern logic, ancient logic, or logic with any other familiar modifier. There is only logic. Logic is the theory of consequence relations, of valid inferences. As such, it can be investigated and presented (...) in many ways, although the mathematical methods of modern formal or symbolic logic have proved extraordinarily fruitful. (shrink)

In 1926, Mally presented the first formal system of deontic logic. His system had several consequences which Mally regarded as surprising but defensible. It also, however, has the consequence that A is obligatory if and only if A is the case, which is unacceptable from the point of view of any reasonable deontic logic. We describe Mally's system and discuss how it might reasonably be repaired.

Deontic logic ought to be fundamental to ethical theory and the theory of practical reasoning, but, for various reasons, it hasn’t been. James Forrester faults the standard systems themselves; so, in place of standard deontic logic, he proposes a new deontic logic that should, he thinks, serve moral philosophy more adequately.

Lou Goble proposed powerful conditional deontic logics (CDPM) that are able to deal with deontic conflicts by means of restricting the inheritance principle. One of the central problems for dyadic deontic logics is to properly treat the restricted applicability of the principle “strengthening the antecedent”. In most cases it is desirable to derive from an obligation A under condition B, that A is also obliged under condition B and C. However, there are important counterexamples. Goble proposed a weakened (...) rational monotonicity principle to tackle this problem. This solution is suboptimal as it is for some examples counter-intuitive or even leads to explosion. The paper identifies also other problems of Goble’s systems. For instance, to make optimal use of the restricted inheritance principle, in many cases the user has to manually add certain statements to the premises. An adaptive logic framework based on CDPM is proposed which is able to tackle these problems. It allows for certain rules to be applied as much as possible. In this way counter-intuitive consequences as well as explosion can be prohibited and no user interference is required. Furthermore, for non-conflicting premise sets the adaptive logics are equivalent to Goble’s dyadic version of standard deontic logic. (shrink)

By building on work by Kit Fine, we develop a sound and complete truthmaker semantics for Lou Goble’s conflict tolerant deontic logic BDL.

The paper presents an infinite hierarchy PR m [ m = 1, 2, . . . ] of sound and complete axiomatic systems for modal logic with graded probabilistic modalities , which are to reflect what I have elsewhere called the Bolding-Ekelöf degrees of evidential strength as applied to the establishment of matters of fact in law-courts. Our present approach is seen to differ from earlier work by the author in that it treats the logic of these graded modalities not (...) only from a semantical or model-theoretic viewpoint but from a prooftheoretical and axiomatic stance as well. A paramount feature of the approach is its use of so-called systematic frame constants as labels of diverse grades of probability. Apart from this novel feature our approach can be seen to go back to pioneering work by Lou Goble in 1970. (shrink)

A Deontic Logic for Normative Dilemmas: Standard deontic logic does not tolerate normative conflicts. If we assume that one ought to do A and ought to do B, but cannot do them both, we get a contradiction within deontic logic. Philosophers who deny that there could be genuine moral dilemmas treat this fact as the proof that dilemmas are logically impossible. At the same time, the advocates of the possibility of moral dilemmas propose to reject or restrict standard deontic principles. (...) What consequences does it have for the resulting logic? Some of them are too strong because they contain the theorem of normative triviality or “deontic explosion,” which says that if there is any case of normative conflict, then everything is obligatory. On the other hand, some of them are too weak, since they are not able to validate more important deontic inferences especially the Smith Argument. Lou Goble introduces three criteria of adequacy that any deontic logic should meet if it is to accommodate normative conflicts successfully. First, I present these conditions and then I introduce a new logic of ought that fully meets all of them. (shrink)

Book Information The Blackwell Guide to Philosophical Logic. Edited by Lou Goble. Blackwell Publishers. Oxford. 2001. Pp. x + 510. Paperback, £16.99.

In order to deal with the possibility of deontic conflicts Lou Goble developed a group of logics (DPM) that are characterized by a restriction of the inheritance principle. While they approximate the deductive power of standard deontic logic, they do so only if the user adds certain statements to the premises. By adaptively strengthening the DPM logics, this paper presents logics that overcome this shortcoming. Furthermore, they are capable of modeling the dynamic and defeasible aspect of our normative reasoning (...) by their dynamic proof theory. This way they enable us to have a better insight in the relations between obligations and thus to localize deontic conflicts. (shrink)

Combining textual, visual, and ethnographic approaches to discourse, this article examines a variety of resources employed in the narrative construction of Washington, DC’s Chinatown in a billboard advertisement that de-ethnicizes the neighborhood. Analysis of the linguistic resources of narrative structure, comparative reference, and lexical cohesion reveals how the gentrification of Chinatown is constructed as a positive transformation driven by a corporation. Further, the visual juxtaposition of text with photos and graphics appropriates the community voice and infuses it with corporate identity. (...) This ideological multimodal construction of the transformation of Chinatown is finally actualized in its durable material form and strategic spatial emplacement. Incorporating ethnographic observation and an interview, this article illustrates how the symbolic power of narrative in place-making is interdependent on the economic power of its producer to propagate ideological discourse in the material world. (shrink)

The distinction between “empathy” and “sympathy” in the context of ethics is a dynamic and challenging one. The eighteenth century texts of David Hume and Adam Smith used the word "sympathy," but not "empathy," although the conceptual distinction marked by empathy was doing essential work in their writings. After discussing the early uses of these terms, this article is organized historically. Two traditions are distinguished. The first is the Anglo-American tradition, and it extends from Hume and Smith to the twenty-first (...) century work of Michael Slote. Stephen Darwall’s contribution is applied in engaging Hume and Smith. Finally, the interrelation of empathy, sympathy and altruism is explored in the work of John Rawls and Thomas Nagel. The second tradition is the Continental one. It extends from the spirituality of Johann Herder to the phenomenological movement of Edmund Husserl, Martin Heidegger, Max Scheler, and Edith Stein. The intentional analysis of empathy is directly relevant to the constitution of the social community in a broad, normative relationship with the "Other.". (shrink)