Quine and others have put many problems to quantified modal logic. Their purpose is to show the logic to be paradoxical or at least very peculiar. Many of these problems center around the interplay between modality, quantification and identity.

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.

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)

The term compassion fatigue has come to be applied to a disengagement or lack of empathy on the part of care-giving professionals. Empathy and emotional investment have been seen as potentially costing the caregiver and putting them at risk. Compassion fatigue has been equated with burnout, secondary traumatic stress disorder, vicarious traumatization, secondary victimization or co-victimization, compassion stress, emotional contagion, and counter-transference. The results of a Canadian qualitative research project on nurses? experience of compassion fatigue are presented. Nurses, self-identified as (...) having compassion fatigue, described a change in their practice by which they began to shield and distance themselves from the suffering of patients and families. Time to help patients and families cope with suffering seemed unavailable, and many felt they were running on empty and, ultimately, impotent as nurses. Feelings of irritability, anger, and negativity arose, though participants described denying or ignoring these emotions as a way to try to survive their work day. Difficulties with work carried over into the nurses? personal lives, affecting their relationships with family and friends. Such experiences invariably called into question the participants? identity, causing them to reflect on the kind of nurse they were. The participants? compassion fatigue created a sense of hopelessness regarding positive change, although some nurses described strategies that seemed to help alleviate their compassion fatigue. (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 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.

Abstract:In this paper, we explore challenges in conveying the culturally constructed meanings of local Indigenous musics and the worldviews they manifest to students in K-12 school music classes, when foundational aspects of the English language, historical and current discourse, and English language habits function to thwart the transmission of those meanings. We recount how, in settler colonial societies in North America, speakers of the dominant English language have historically misrepresented, discredited, and obscured cultural meanings that inhere in local Indigenous musics. (...) First, we examine three ways in which the use of English has distorted the cultural meanings of those musics. Next, we explain how historical discourses in English have intentionally undervalued or discredited the values intrinsic to those musics, also describing how some current music education discourse in English might work against the embedding of Indigenous meanings in school music education settings. We then consider additional factors distinguishing Indigenous languages from European languages (especially English) to show how a people’s “language habits” influence their perception of and thus their relationship with their natural environment. We conclude by considering the role of music education in revitalizing local Indigenous languages and musics and advancing the cultural values of their originating communities. (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)

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.

A summary of the existing literature related to moral distress (MD) and the paediatric intensive care unit (PICU) reveals a high-tech, high-pressure environment in which effective teamwork can be compromised by MD arising from different situations related to: consent for treatment, futile care, end-of-life decision making, formal decision-making structures, training and experience by discipline, individual values and attitudes, and power and authority issues. Attempts to resolve MD in PICUs have included the use of administrative tools such as shift worksheets, the (...) implementation of continuing education, and encouragement to report. The literature does not yet show these approaches to be effective in the resolution of MD. The need to acknowledge MD among PICU teams is discussed and an argument made that, to facilitate understanding among team members, practice stories need to be shared. (shrink)

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)

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.

Editorial introduction to the Special Issue by Erika Goble, editor.

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)

One of the more prominent early childhood interventions focused on the development of executive function skills is Tools of the Mind. Intervention studies comparing Tools classrooms with control classrooms, however, reveal inconsistent findings for children’s EF outcomes. The current study utilizes Head Start CARES teachers assigned to the Tools of the Mind enhancement intervention and the children in their classrooms. Relations between teachers’ characteristics, training attendance and implementation, and the interaction among these factors were examined as predictors of classroom-level gains (...) in EF. Results revealed several significant moderation effects indicating that Tools implementation is related to classroom EF gains for some but not all teachers. (shrink)