We provide a Hilbert-style axiomatization of the logic of , as well as a two-dimensional semantics with respect to which our logics are sound and complete. Our completeness results are quite general, pertaining to all such actuality logics that extend a normal and canonical modal basis. We also show that our logics have the strong finite model property and permit straightforward first-order extensions.

The purpose of this paper is to show that semantics for relevance logic, based on the Routley-Meyer semantics, can be given without using the Routley star operator to treat negation. In the resulting semantics, negation is treated implicationally. It is shown that, by the use of restrictions on the ternary accessibility relation, simplified by the use of some definitions, a semantics can be stipulated over which R is complete.

This paper sets out two semantics for the relevant logic R based on Dunn's four-valued semantics for first-degree entailments. Unlike Routley's semantics for weak relevant logics, they do not use two ternary accessibility relations. Unlike Restall's semantics, they capture all of R. But there is a catch. Both of the present semantics are neighbourhood semantics, that is, they include sets of propositions in the specification of their frames.

A variety of modal logics based on the relevant logic R are presented. Models are given for each of these logics and completeness is shown. It is also shown that each of these logics admits Ackermann's rule γ and as a corollary of this it is proved that each logic is a conservative extension of its counterpart based on classical logic, hence we call them “classically complete”. MSC: 03B45, 03B46.

This chapter contains sections titled: Non‐Sequiturs are Bad The Real Use of Premises Implication From Proof Theory to Semantics Adding Conjunction The Problem of Disjunction Routley and Meyer's Ternary Relation Rules for Disjunction The Semantics of Negation Rules for Negation Disjunctive Syllogism Logics Stronger than R Logics Weaker than R Relevant Logics and Natural Language Conditionals Theory of Properties Summary.

This paper presents ConR (Conditional R), a logic of conditionals based on Anderson and Belnap''s system R. A Routley-Meyer-style semantics for ConR is given for the system (the completeness of ConR over this semantics is proved in E. Mares and A. Fuhrmann, A Relevant Theory of Conditionals (unpublished MS)). Moreover, it is argued that adopting a relevant theory of conditionals will improve certain theories that utilize conditionals, i.e. Lewis'' theory of causation, Lewis'' dyadic deontic logic, and Chellas'' dyadic deontic logic.

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a (...) variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R and E, as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers. (shrink)

RGLis a version of the modal logic GLbased on the relevant logic R. It is shown that the class of RKframes that verify all theorems of RGLalso verify a scheme that we call (!). If RGLhas (!) as a theorem, however, it is not a relevant logic. I go on to show that not all instances of (!) are theorems of RGL, hence this logic is not complete over any class of RKframes.

Bernard Suits is without a doubt one of the most influential scholars in the philosophy of sport. His book The Grasshopper: Games, Life and Utopia (first published in 1978) is a classic and ‘must r...

Hypnagogic and hypnopompic experiences (HHEs) accompanying sleep paralysis (SP) are often cited as sources of accounts of supernatural nocturnal assaults and paranormal experiences. Descriptions of such experiences are remarkably consistent across time and cultures and consistent also with known mechanisms of REM states. A three-factor structural model of HHEs based on their relations both to cultural narratives and REM neurophysiology is developed and tested with several large samples. One factor, labeled Intruder, consisting of sensed presence, fear, and auditory and visual (...) hallucinations, is conjectured to originate in a hypervigilant state initiated in the midbrain. Another factor, Incubus, comprising pressure on the chest, breathing difficulties, and pain, is attributed to effects of hyperpolarization of motoneurons on perceptions of respiration. These two factors have in common an implied alien ''other'' consistent with occult narratives identified in numerous contemporary and historical cultures. A third factor, labeled Unusual Bodily Experiences, consisting of floating/flying sensations, out-of-body experiences, and feelings of bliss, is related to physically impossible experiences generated by conflicts of endogenous and exogenous activation related to body position, orientation, and movement. Implications of this last factor for understanding of orientational primacy in self-consciousness are considered. Central features of the model developed here are consistent with recent work on hallucinations associated with hypnosis and schizophrenia. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Pains And Gains Of Rural Health Practice:Lessons Books Never TaughtSridevi Seetharam, Bindu Balasubramaniam, G. S. Kumar, and M. R. SeetharamHow The Journey BeganIn the early 1980s, as fresh graduates from Mysore Medical College in southern India, we were brimming with a zeal to "cure the sick" and "change the world." We had an ideal of evidence-based, rational, ethical and equitable health care and set out to serve rural and (...) under-served communities which included displaced forest-based tribes. In the initial years, with the naivety of the inexperienced, we believed that by correcting the dehydration of the doe-eyed six-year-old Mare and giving her a free course of antibiotics, we had made health care accessible to her. Much to our dismay, within a month, Mare was back in the outpatient clinic, with diarrhea all over again and looking thinner than ever. We realized that it was a losing battle to keep her healthy as long as she continued to drink water from the same contaminated stream, live in unhygienic surroundings, and eat only the paltry meals that her family could barely afford. We gradually began to connect these living examples to what our preventive medicine text books had stressed all along—there are many social determinants of health which, if left unaddressed, do not permit realization of the vision of health for all.Such instances continually pulled us out of the hospital building and into the villages and tribal hamlets. We discovered that our textbook of Preventive and Social Medicine (Park, 1986) (P&SM as we used to call it), was our most valuable possession. [End Page 106] We devoured the descriptions of national health programs, sanitation procedures, water treatment protocols, and maintenance of cold chain for vaccines with a completely new perspective. We discovered the Manual of Basic Techniques for a Health Laboratory, (World Health Organization, 1980) detailing how to set up a laboratory with low cost, reliable and simple methods. We learned to drive a jeep to haul supplies and patients. To step up the level of clinical care, some of us pursued post-graduate programs and equipped ourselves to provide more specialized care too. It has been over two decades since we embarked on this journey. We have encountered a variety of perplexing dilemmas with no clear solutions. We have sometimes been compelled to adopt health practices that were not really evidence-based, seemingly irrational, inequitable and even downright unethical. This narration describes only a few of our thousands of cases, and hopefully conveys our periods of self-doubt, despair and hope, as well as, the challenges we face to reconcile with the difficult choices we are forced to make every day.Unforeseen Challenges in Saving Mothers and ChildrenHigh maternal and child mortality rates have been one of the most disturbing aspects of the health care scenario in rural India. To ensure immunization of all children, health workers with vaccine carriers go from village to village and hamlet to hamlet to reach those infants that would have missed visits to the immunization clinics. Our grass-root workers facilitate these visits by identifying households with such children. Occasionally, they encounter families who spirit away the infant into the adjoining woods as soon as the health worker is seen approaching, and blandly proclaim that the child is not at home. Despite reassurance and counseling about the safety and necessity of the vaccine, their apprehensions and misconceptions are insurmountable. What is the extent of the responsibility of the health worker? Is it ethical to hunt down the child and force the administration of the vaccine in view of the public health gains, besides the child's welfare?A few months ago, a pre-term neonate was admitted to our hospital, but worsened and needed referral to a higher centre in the city. The family refused to go despite repeated persuasion and detailed explanation about the technical limitations of care at our centre. From the family's perspective, the variety of social, cultural, and monetary challenges they would face in the city were themselves limitations for care. We were compelled to retain the baby and continue giving the best care we could.Two... (shrink)

Ultralogic as Universal was drafted in 1976, appeared in 1977 as ‘Ultralogic as Universal?’ in The Relevance Logic Newsletter, 2 (1–2) and was reprinted as an appendix to Exploring Meinong’s Jungle...

Mares and Goldblatt, 163–187, 2006) provided an alternative frame semantics for two quantified extensions of the relevant logic R. In this paper, I show how to extend the Mares-Goldblatt frames to accommodate identity. Simpler frames are provided for two zero-order logics en route to the full logic in order to clarify what is needed for identity and substitution, as opposed to quantification. I close with a comparison of this work with the Fine-Mares models for relevant logics with identity and a (...) discussion of constant and variable domains. (shrink)

RESUMEN Cuando se mira la masacre de El Salado, es difícil no preguntarse por los factores que llevaron a esta comunidad de los Montes de María, en el contexto de la guerra rural que vivía Colombia a finales del siglo XX, a volverse un objetivo militar por parte de las A.U.C. (Autodefensas Unidas de Colombia), es decir, a recibir la marca o estigma de 'pueblo guerrillero'; en otras palabras, a convertirse en un pueblo masacrable. El presente artículo intenta abordar esta (...) cuestión y para ello analiza las consecuencias de la ocupación de las FARC desde su ingreso a la región en los noventa. Los modos como este poder fareano dispuso de lógicas guerreristas y dejó poco margen de maniobra y libertad para los pobladores de El Salado; los saladeros no tuvieron opción ni libertad, y la cohabitación se confundió con la colaboración, la pasividad con la pertenencia. En una segunda parte, revisa los efectos de la arremetida brutal de las FARC contra cierto grupo de pobladores (en especial, ganaderos y fuerza pública); de algún modo, la masacre del 2000, ejecutada por las AUC, fue una respuesta impulsada por un odio desmedido frente a una violencia también excesiva por parte de las FARC en los años anteriores a la masacre. En este apartado, se habla acerca del odio y la venganza que se constituyen en afectos que contribuyeron decisivamente -entre otros más- a la masacre del año 2000. Las elaboraciones sobre la economía del odio de Sara Ahmed (2015) y las de Laura Quintana sobre los afectos (2020 y 2021) serán fundamentales. ABSTRACT When looking at the El Salado massacre, we wonder about the factors that led this town of los Montes de María, in the context of the rural war in Colombia at the end of the 20th century, to become a military objective by the A.U.C (Autodefensas Unidas de Colombia), that is, to receive the brand or stigma of 'guerrilla people'; that is, to become a massacrable town. This article tries to address this issue, thus analyzing the consequences of the FARC occupation since its entry into the region in the nineties. Ways like this Farean power had warmer logic and left little room for maneuver and freedom for the residents of El Salado; The saladeros had no choice or freedom, and cohabitation was confused with collaboration, passivity with belonging. in a second part, it reviews the effects of the brutal attack by the FARC against a certain group of residents (especially, ranchers and the military); in a way, the 2000 massacre, carried out by the AUC, was an inordinately hateful response to excessive violence by the FARC in the years before the massacre. In this section, we talk about the hatred and revenge that constitute elements that contributed decisively -among others- to the 2000 massacre. The elaborations on the economy of hate by Sara Ahmed (2015) and the elaborations of Laura Quintana on affects (2020 and 2021) will be fundamental. (shrink)

This book introduces the reader to relevant logic and provides the subject with a philosophical interpretation. The defining feature of relevant logic is that it forces the premises of an argument to be really used in deriving its conclusion. The logic is placed in the context of possible world semantics and situation semantics, which are then applied to provide an understanding of the various logical particles and natural language conditionals. The book ends by examining various applications of relevant logic and (...) presenting some interesting open problems. It will be of interest to a range of readers including advanced students of logic, philosophical and mathematical logicians, and computer scientists. (shrink)

Typically seniors like others choose to avoid institutional care. However, when age-related infirmity requires it, they not only enter into the care of others, but they also do so as vulnerable members of society. As their frailty increases with age, so does their dependence on the professionals who care for them and on the enforcement of policies concerning their care. A qualitative case study involving seniors and their carers revealed that breaches of confidentiality, unprofessional behaviour and the non-enforcement of policy, (...) continue to hide the physical and emotional abuse perpetrated by nursing and other staff on vulnerable consumers. Professional ethics, including at a corporate level, enforcing policy, protecting whistleblowers and creating reporting mechanisms for aged care researchers, are amongst the recommendations arising from this study. (shrink)

Розкрито сутність поняття «рейтинг». Доведено значущість рейтингової оцінки для суб’єктів фінансового ринку, зокрема для страхових компаній, потенційних страхувальників, інвесторів та кредиторів.

This paper uses Avron’s algebraic semantics for the logic RMI to model some ideas in the philosophy of science. Avron’s relevant disjunctive structures are each partitioned into relevance domains. Each relevance domain is a boolean algebra. I employ this semantics to act as a formal framework to represent what Nancy Cartwright calls the “dappled world”. On the dappled world hypothesis, local scientific theories each represent restricted aspects and regions of the universe. I use relevance domains to represent the domains of (...) each of these local theories and I provide a formalisation of the salient relationships between so-called fundamental theories and local theories. I also examine ways in which the paraconsistent nature of RMI can be used to deal with inconsistencies within and between theories adopted by scientists. The paper ends with some suggestions about updating RDS given changes in the theories that science adopts. (shrink)

In this paper we discuss how Australian feminism has contributed to a better understanding of women’s economic position within Australian society. Through this analysis we seek to shed some light on the current implementation of the ‘women in business’ policy in Australia. We trace the development of this position from the early beginnings of unionism and wage centralisation through to the social change movements of the 1960s and 1970s. We then examine how the neo-liberal turn of the 1990s manifested itself (...) in a move from a focus on numerical representation of women, through Equal Employment Opportunity and Affirmative Action policies and initiatives, to one that concentrated on an individualist approach to women in business. We conclude that feminism has had its most significant impact at the level of public policy. However, recent epistemological turns in Australian feminism appear to have resulted in less attention being paid to materialist concerns, and furthermore have not been able to resolve the sameness/difference divide that continues to haunt feminist philosophy. (shrink)

A theory of ersatz impossible worlds is developed to deal with the problem of counterpossible conditionals. Using only tools standardly in the toolbox of possible worlds theorists, it is shown that we can construct a model for counterpossibles. This model is a natural extension of Lewis's semantics for counterfactuals, but instead of using classical logic as its base, it uses the logic LP.

Although the concept of food sovereignty is rooted in International Peasant Movements across the global south, activists have recently called for the adoption of this framework among low-income communities of color in the urban United States. This paper investigates on-the-ground processes through which food sovereignty articulates with the work of food justice and community food security activists in Oakland, California, and Seattle, Washington. In Oakland, we analyze a farmers market that seeks to connect black farmers to low-income consumers. In Seattle, (...) we attend to the experiences of displaced immigrant farmers from Latin America and their efforts to address their food needs following migration. In both cases, we find that US based projects were constrained by broader forces of neoliberalism that remained unrecognized by local activists. In Oakland, despite a desire to create a local food system led by marginalized African Americans, emphasis on providing green jobs in agriculture led activists to take a market-based approach that kept local food out of the economic grasp of food-insecure neighborhood residents. In Seattle, the marginalization of the immense agroecological knowledge of Latino/an immigrant farmers rendered local food projects less inclusive and capable of transformative change. Taken together, these very different cases suggest that a shift towards food sovereignty necessitates a broad acknowledgement of and resistance to neoliberalism. (shrink)

The best arguments against gun control invoke moral rights—it might be good if there were fewer guns in circulation, but there is a moral right to own firearms. Rather than emphasizing the potential benefits of gun control, this paper meets the best arguments on their home turf. I argue that there simply is no moral right to keep guns on one’s person or in one’s residence. In fact, our moral rights support the mutual disarmament of citizens and police.

The quantified relevant logic RQ is given a new semantics in which a formula for all xA is true when there is some true proposition that implies all x-instantiations of A. Formulae are modelled as functions from variable-assignments to propositions, where a proposition is a set of worlds in a relevant model structure. A completeness proof is given for a basic quantificational system QR from which RQ is obtained by adding the axiom EC of 'extensional confinement': for all x(A V (...) B) -> (A V for all xB). with x not free in A. Validity of EC requires an additional model condition involving the boolean difference of propositions. A QR-model falsifying EC is constructed by forming the disjoint union of two natural arithmetical structures in which negation is interpreted by the minus operation. (shrink)

This article responds to Tim Hsiao's "The Moral Case for Gun Ownership".

A logic is called 'paraconsistent' if it rejects the rule called 'ex contradictione quodlibet', according to which any conclusion follows from inconsistent premises. While logicians have proposed many technically developed paraconsistent logical systems and contemporary philosophers like Graham Priest have advanced the view that some contradictions can be true, and advocated a paraconsistent logic to deal with them, until recent times these systems have been little understood by philosophers. This book presents a comprehensive overview on paraconsistent logical systems to change (...) this situation. The book includes almost every major author currently working in the field. The papers are on the cutting edge of the literature some of which discuss current debates and others present important new ideas. The editors have avoided papers about technical details of paraconsistent logic, but instead concentrated upon works that discuss more 'big picture' ideas. Different treatments of paradoxes takes centre stage in many of the papers, but also there are several papers on how to interpret paraconistent logic and some on how it can be applied to philosophy of mathematics, the philosophy of language, and metaphysics. (shrink)

This Element looks at two projects that relate logic and information: the project of using logic to integrate, manipulate and interpret information and the proect of using the notion of information to provide interpretations of logical systems. The Element defines 'information' in a manner that includes misinformation and disinformation and uses this general concept of information to provide an interpretation of various paraconsistent and relevant logics. It also integrates these logics into contemporary theories of informational updating, probability theory and (rather (...) informally) some ideas from the theory of the complexity of proofs. The Element assumes some prior knowledge of modal logic and its possible world semantics, but all the other necessary background is provided. (shrink)

Lisa Tessman (2016: 164) recounts the case of a Jewish mother, running from Nazis, who faced a terrible choice. She could (a) drown her infant, or (b) accept the virtual certainty that her baby’s cries would doom the refugee group she was fleeing with. Given those options, (b) is worse. If the whole group is discovered, many will die, including the infant. Still, preemptively drowning a baby—indeed one’s own baby—is a terrible act. To make sense of cases like this, Tessman (...) turns to the concept of moral failure: an act that violates an important moral value such that the loss cannot be fully redeemed by gains elsewhere. I will argue that criminal justice needs a moral framework like Tessman’s. It needs to make sense of the fact that some options are genuinely better than others, without letting honorifics like ‘justice’ obscure the equally important fact the best available option might be terrible. More specifically, I will argue that when punishment involves prison, as it often does, it is a moral failure. It can be justified only in the sense that preemptively drowning an infant can be justified: like the fleeing mother, society might on some terrible occasions find itself with no better alternative. (shrink)

Théun takes the reader on a journey through the fascinating frontiers of the human psyche as he introduces concepts such as the twenty-one aspects of awareness, the meaning and existence of alternative worlds, as well as the intermediate teachings on stalking. Théun also uses many real-life examples, enabling the reader to experience for him or herself the value and excitement of these teachings. Shifting the focus, stepping into the unknown, and the preliminary steps in learning to align the Sorcerer's World, (...) are but a few of the techniques he explains. The book provides rich insight into the world of warriors and how they gain intellectual freedom, total personal power and spiritual joy. (shrink)

This paper has two aims. First, it sets out an interpretation of the relevant logic E of relevant entailment based on the theory of situated inference. Second, it uses this interpretation, together with Anderson and Belnap’s natural deduc- tion system for E, to generalise E to a range of other systems of strict relevant implication. Routley–Meyer ternary relation semantics for these systems are produced and completeness theorems are proven. -/- .

"Williams's masterful translation satisfies (at last!) a long-standing need. There are lots of good translations of Augustine's great work, but until now we have been forced to choose between those that strive to replicate in English something of the majesty and beauty of Augustine's Latin style and those that opt instead to convey the careful precision of his philosophical terminology and argumentation. Finally, Williams has succeeded in capturing both sides of Augustine's mind in a richly evocative, impeccably reliable, elegantly readable (...) presentation of one of the most impressive achievements in Western thought--Augustine's Confessions." --Scott MacDonald, Professor of Philosophy and Norma K. Regan Professor in Christian Studies, Cornell University. (shrink)

Umbilical cord blood banking is one of many biomedical innovations that confront pregnant women with new choices about what they should do to secure their own and their child’s best interests. Many mothers can now choose to donate their baby’s umbilical cord blood (UCB) to a public cord blood bank or pay to store it in a private cord blood bank. Donation to a public bank is widely regarded as an altruistic act of civic responsibility. Paying to store UCB may (...) be regarded as a “unique opportunity” to provide “insurance” for the child’s future. This paper reports findings from a survey of Australian women that investigated the decision to either donate or store UCB. We conclude that mothers are faced with competing discourses that force them to choose between being a “good mother” and fulfilling their role as a “good citizen.” We discuss this finding with reference to the concept of value pluralism. (shrink)

The paper describes a computational model that we have implemented in an experimental dialogue system. Communication in a natural language between two participants A and B is considered, where A has a communicative goal that his/her partner B will make a decision to perform an action D. A argues the usefulness, pleasantness, etc. of D, in order to guide B's reasoning in a desirable direction. A computational model of argumentation is developed, which includes reasoning. Our model is based on the (...) studies in the common-sense conception of how the human mind works in such situations. Theoretical considerations are followed by an analysis of Estonian spoken human–human dialogues. First, calls of clients to travel agencies are studied where a travel agent could use various arguments in order to persuade a client to book a trip. The analysis demonstrates that clients are primarily looking for information; argumentation occurs in a small number of dialogues. Secondly, calls of s... (shrink)

This paper contributes to the growing line of thought in bioethics that respect for autonomy should not be equated to the facilitation of individualistic self determination through standard requirements of informed consent in all healthcare contexts. The paper describes how in the context of donation for living related liver transplantation (LRLT) meaningful, responsible decision making is often embedded within family processes and its negotiation. We suggest that good donor risk communication in families promote “conscientious autonomy” and “reflective trust”. From this, (...) the paper offers the suggestion that transplant teams and other relevant professionals have to broaden their role and responsibility for risk communication beyond proper disclosure by addressing the impact of varied psychosocial conditions on risk interpretation and assessment for potential donors and family stakeholders. In conclusion, we suggest further research questions on how professional responsibility and role-taking in risk communication should be morally understood. (shrink)

This paper uses an atomistic ontology of universals, individuals, and facts to provide a semantics for ramified type theory. It is shown that with some natural constraints on the sort of universals and facts admitted into a model, the axiom of reducibility is made valid.