This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schroder, Leopold Lowenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.

In autumn 2009, BBC television ran a natural history series, ‘Last Chance to See’, with Stephen Fry and wildlife writer and photographer, Mark Carwardine, searching out endangered species. In one episode they retraced the steps Carwardine had taken in the 1980s with Douglas Adams, when they visited Madagascar in search of the aye-aye, a nocturnal lemur. Fry and Carwardine visited an aye-aye in captivity, and upon first setting eyes on the creature they found it rather ugly. After spending an hour (...) or so in its company, Fry said he was completely ‘under its spell’. A subsequent encounter with an aye-aye in the wild supported Fry's judgment of ugliness and fascination for the creature: ‘The aye-aye is beguiling, certainly bizarre, for some even a little revolting. And I say, long may it continue being so.’. (shrink)

Geraldine Brady, "From Peirce to Skolem. A Neglected Chapter in the History of Logic", Studies in the History and Philosophy of Mathematics, vol. 4, Elsevier, 2000, ISBN-13: 978-0444503343, ISBN-10: 0-444-50334-X, 625~pp.

Michael S. Brady offers a new account of the role of emotions in our lives. He argues that emotional experiences do not give us information in the same way that perceptual experiences do. Instead, they serve our epistemic needs by capturing our attention and facilitating a reappraisal of the evaluative information that emotions themselves provide.

Throughout the twentieth century, the classical logic of Frege and Russell dominated the field of formal logic. But, as Ross Brady argues, a new type of weak relevant logic may prove to be better equipped to present new solutions to persistent paradoxes. _Universal Logic _begins with an overview of classical and relevant logic and discusses the limitations of both in analyzing certain paradoxes. It is the first text to demonstrate how the main set-theoretic and semantic paradoxes can be solved (...) in a systematic way and as such will be of great interest to both scholars and students of logic. (shrink)

Emily Brady provides a systematic account of aesthetics in relation to the natural environment, offering a critical understanding of what aesthetic appreciation ...

Suffering, in one form or another, is present in all of our lives. But why do we suffer? On one reading, this is a question about the causes of physical and emotional suffering. But on another, it is a question about whether suffering has a point or purpose or value. In this ground-breaking book, Michael Brady argues that suffering is vital for the development of virtue, and hence for us to live happy or flourishing lives. After presenting a distinctive (...) account of suffering, and a novel account of its core element, unpleasantness, Brady proceeds to focus on three claims that are central to his picture. The first is that forms of suffering, like pain and remorse, can themselves constitute virtuous responses. The second is that suffering is essential for four important classes of virtue - virtues of strength, such as fortitude and courage; virtues of vulnerability, such as adaptability and humility; moral virtues, such as compassion; and the practical and epistemic excellences that make up wisdom. His final claim third is that suffering is vital for the social virtues of justice, love, and trust, and hence for the flourishing of social groups. (shrink)

While human beings might be rational animals, they are emotional animals as well. Emotions play a central role in all areas of our lives and if we are to have a proper understanding of human life and activity, we ought to have a good grasp of the emotions. Michael S. Brady structures Emotion: The Basics around two basic, yet fundamental, questions: What are emotions? And what do emotions do? In answering these questions Brady provides insight into a core (...) component of all our lives, covering: the nature of emotion; emotion, knowledge, and understanding; emotion and action; emotions and social groups; emotion, morality, and art. In this concise and insightful introduction, Brady explains why we are often better off as a result of emotion rather than reason being in the driving seat, as our lives, both individual and social, would be significantly impoverished without the emotions. With a glossary of key terms and suggestions for further reading, Emotion: The Basics is an ideal starting point for anyone seeking a full introduction to the philosophical study of emotion. (shrink)

In The Sublime in Modern Philosophy: Aesthetics, Ethics, and Nature, Emily Brady takes a fresh look at the sublime and shows why it endures as a meaningful concept in contemporary philosophy. In a reassessment of historical approaches, the first part of the book identifies the scope and value of the sublime in eighteenth-century philosophy, nineteenth-century philosophy and Romanticism, and early wilderness aesthetics. The second part examines the sublime's contemporary significance through its relationship to the arts; its position with respect (...) to other aesthetic categories involving mixed or negative emotions, such as tragedy; and its place in environmental aesthetics and ethics. Far from being an outmoded concept, Brady argues that the sublime is a distinctive aesthetic category which reveals an important, if sometimes challenging, aesthetic-moral relationship with the natural world. (shrink)

Free Semantics is based on normalized natural deduction for the weak relevant logic DW and its near neighbours. This is motivated by the fact that in the determination of validity in truth-functional semantics, natural deduction is normally used. Due to normalization, the logic is decidable and hence the semantics can also be used to construct counter-models for invalid formulae. The logic DW is motivated as an entailment logic just weaker than the logic MC of meaning containment. DW is the logic (...) focussed upon, but the results extend to MC. The semantics is called 'free semantics' since it is disjunctively and existentially free in that no disjunctive or existential witnesses are produced, unlike in truth-functional semantics. Such 'witnesses' are only assumed in generality and are not necessarily actual. The paper sets up the free semantics in a truth-functional style and gives a natural deduction interpetation of the meta-logical connectives. We then set out a familiar tableau-style system, but based on natural deduction proof rather than truth-functional semantics. A proof of soundness and completeness is given for a reductio system, which is a transform of the tableau system. The reductio system has positive and negative rules in place of the elimination and introduction rules of Brady's normalized natural deduction system for DW. The elimination-introduction turning points become closures of threads of proof, which are at the points of contradiction for the reductio system. (shrink)

Four Basic Logical Issues: The paper addresses what we see as the four major issues in logic. The overriding issue is that of the choice of logic. We start with some discussion of the preliminary issue of whether there is such a 'one true logic,' but we reserve the main discussion for the first issue of 'classical logic versus nonclassical logic.' Here, we discuss the role of meaning and truth, the relation between classical logic and classical negation, and whether and, (...) if so, how classical logic should reside at the base world. Given the argument in favor of an overall use of nonclassical logic, the second issue is that of the choice of nonclassical logic. Brady's logic MC of meaning containment is argued for, with some comparison made with other relevant logics. For the remaining two issues, we make a case for relevant deduction, in comparison with classical deduction, and we explore possibilities for the appropriate metalogic, comparing classical and nonclassical approaches. (shrink)

A collection, edited by David Bain, Michael Brady, and Jennifer Corns, originating in our Pain Project. Table of Contents: Colin Klein and Manolo Martínez – ‘Imperativism and Pain Intensity’; Murat Aydede and Matthew Fulkerson – ‘Pain and Theories of Sensory Affect’; Dan-Mikael Ellingson, Morten Kringlebach, and Siri Leknes – ‘A Neuroscience Perspective on Pleasure and Pain’; Michael Brady – ‘The Rationality of Emotional and Physical Suffering’; Jennifer Corns – ‘The Placebo Effect’; Jesse Prinz – ‘What is the Affective (...) Component of Pain?’; Adam Shriver – ‘The Unpleasantness of Pain for Humans and Other Animals’; Valerie Gary Hardcastle – ‘When is a Pain Not a Pain? The Challenge of Disorders of Consciousness’; Frédérique de Vignemont – ‘The First-Person in Pain’. (shrink)

A collection, edited by David Bain, Michael Brady, and Jennifer Corns, originating in our Value of Suffering Project. Table of Contents: Michael Wheeler - ‘How should affective phenomena be studied?’; Julien Deonna & Fabrice Teroni – ‘Pleasures, unpleasures, and emotions’; Hilla Jacobson – ‘The attitudinal representational theory of painfulness fleshed out’; Tim Schroeder – ‘What we represent when we represent the badness of getting hurt’; Hagit Benbaji – ‘A defence of the inner view of pain’; Olivier Massin – ‘Suffering (...) pain’; Frederique de Vignemont – ‘The value of threat’; Colin Leach – ‘Bad feelings can be good and good feelings can be bad’; Tasia Scrutton – ‘Mental suffering and the experience of beauty’; Brock Bastian – ‘From suffering to satisfaction: why we need pain to feel pleasure’; Marilyn McCord Adams – ‘Pain and moral agency’; Jennifer Corns – ‘Hedonic rationality’; Jonathan Cohen & Matthew Fulkerson – ‘Suffering and rationality’; Tom McClelland – ‘Suffering invites understanding’; Michael Brady – ‘Suffering as a virtue’; Glen Pettigrove TBA. Further authors TBA. (shrink)

The Body in Adolescence: Psychic Isolation and Physical Symptoms examines the affective experience of psychic isolation as an important and painful element of adolescent development. Mary Brady begins by discussing how psychic isolation, combined with the intensity of adolescent processes, can leave adolescents unable to articulate their experience. She then shows how the therapist can understand and help adolescents whose difficulty with articulation and symbolization can leave them vulnerable to breakdown into physical bodily symptoms. This book introduces fresh ideas (...) about adolescent development in the first chapter. Subsequent chapters include clinical essays involving adolescent patients presenting with bodily expressions such as anorexia, bulimia, cutting, substance abuse, and suicide attempts. Attention is also paid to adolescents’ use of social media in relation to these bodily symptoms – such as their use of on-line ‘pro-ana’ or cutting sites. Clinicians can feel challenged or even stymied when presented with their adolescent patient’s fresh cut or recent episode of binge drinking. Brady uses Bion’s conceptualization of containment and the balance of psychotic versus integrative parts of the personality to examine the emergence of concrete bodily symptoms in adolescence. Throughout, Mary Brady offers ways of understanding and empathically engaging with adolescents. This book is essential reading for psychoanalysts and psychotherapists who treat adolescents and other patients with physical symptoms, as well as other readers with an interest in the psychoanalytic understanding of these issues. (shrink)

One of the most dominant approaches to semantics for relevant (and many paraconsistent) logics is the Routley-Meyer semantics involving a ternary relation on points. To some (many?), this ternary relation has seemed like a technical trick devoid of an intuitively appealing philosophical story that connects it up with conditionality in general. In this paper, we respond to this worry by providing three different philosophical accounts of the ternary relation that correspond to three conceptions of conditionality. We close by briefly discussing (...) a general conception of conditionality that may unify the three given conceptions. (shrink)

A recalcitrant emotion is one which conflicts with evaluative judgement. (A standard example is where someone is afraid of flying despite believing that it poses little or no danger.) The phenomenon of emotional recalcitrance raises an important problem for theories of emotion, namely to explain the sense in which recalcitrant emotions involve rational conflict. In this paper I argue that existing ‘neojudgementalist’ accounts of emotions fail to provide plausible explanations of the irrationality of recalcitrant emotions, and develop and defend my (...) own neojudgementalist account. On my view, recalcitrant emotions are irrational insofar as they incline the subject to accept an evaluative construal that the subject has already rejected. (shrink)

This chapter focuses on the question of whether true belief can have final value because it answers our ‘intellectual interest’ or ‘natural curiosity’. The idea is that sometimes we are interested in the truth on some issue not for any ulterior purpose, but simply because we are curious about that issue. It is argued that this approach fails to provide an adequate explanation of the final value of true belief, since there is an unbridgeable gap between our valuing the truth (...) on some issue for its own sake, and that truth's being valuable for its own sake. (shrink)

The traditional desire view of painfulness maintains that pain sensations are painful because the subject desires that they not be occurring. A significant criticism of this view is that it apparently succumbs to a version of the Euthyphro Dilemma: the desire view, it is argued, is committed to an implausible answer to the question of why pain sensations are painful. In this paper, I explain and defend a new desire view, and one which can avoid the Euthyphro Dilemma. This new (...) view maintains that painfulness is a property, not of pain sensations, but of a pain experience, understood as a relational state constituted by a pain sensation and a desire that the sensation not be occurring. (shrink)

Using a two-part instrument consisting of eight vignettes and twenty character traits, the study sampled 141 employees of a mid-west financial firm regarding their predispositions to prefer utilitarian or formalist forms of ethical reasoning. In contrast with earlier studies, we found that these respondents did not prefer utilitarian reasoning. Several other hypotheses were tested involving the relationship between people's preferences for certain types of solutions to issues and the forms of reasoning they use to arrive at those solutions; the nature (...) of the relationship between utilitarian and formalist categories ; and the possibility of measuring ethical predispositions using different methods. (shrink)

According to previous research, threatening people’s belief in free will may undermine moral judgments and behavior. Four studies tested this claim. Study 1 used a Velten technique to threaten people’s belief in free will and found no effects on moral behavior, judgments of blame, and punishment decisions. Study 2 used six different threats to free will and failed to find effects on judgments of blame and wrongness. Study 3 found no effects on moral judgment when manipulating general free will beliefs (...) but found strong effects when manipulating the perceived choice capacity of the judged agent. Study 4 used pretested narratives that varied agents’ apparent free will and found that perceived choice capacity mediated the relationship between free will and blame. These results suggest that people’s general beliefs about whether free will exists have no impact on moral judgments but specific judgments about the agent’s choice capacity do. (shrink)

The paper reviews a number of approaches for handling restricted quantification in relevant logic, and proposes a novel one. This proceeds by introducing a novel kind of enthymematic conditional.

The perceptual model of emotions maintains that emotions involve, or are at least analogous to, perceptions of value. On this account, emotions purport to tell us about the evaluative realm, in much the same way that sensory perceptions inform us about the sensible world. An important development of this position, prominent in recent work by Peter Goldie amongst others, concerns the essential role that virtuous habits of attention play in enabling us to gain perceptual and evaluative knowledge. I think that (...) there are good reasons to be sceptical about this picture of virtue. In this essay I set out these reasons, and explain the consequences this scepticism has for our understanding of the relation between virtue, emotion, and attention. In particular, I argue that our primary capacity for recognizing value is in fact a non-emotional capacity. (shrink)

Groups engage in epistemic activity all the time--whether it be the active collective inquiry of scientific research groups or crime detection units, or the evidential deliberations of tribunals and juries, or the informational efforts of the voting population in general--and yet in philosophy there is still relatively little epistemology of groups to help explore these epistemic practices and their various dimensions of social and philosophical significance. The aim of this book is to address this lack, by presenting original essays in (...) the field of collective epistemology, exploring these regions of epistemic practice and their significance for Epistemology, Political Philosophy, Ethics, and the Philosophy of Science. (shrink)

Compare your pain when immersing your hand in freezing water and your pleasure when you taste your favourite wine. The relationship seems obvious. Your pain experience is unpleasant, aversive, negative, and bad. Your experience of the wine is pleasant, attractive, positive, and good. Pain and pleasure are straightforwardly opposites. Or that, at any rate, can seem beyond doubt, and to leave little more to be said. But, in fact, it is not beyond doubt. And, true or false, it leaves a (...) good deal more to be said: about the nature of sensory affect; its relations to perception, motivation, and rationality; its value; and the mechanisms underlying it. Much is said about these matters in the contributions that follow. Here, in this introductory essay, we map the dialectical landscape and locate our contributors’ papers within it. (shrink)

The perceptual model of emotions maintains that emotions involve, or are at least analogous to, perceptions of value. On this account, emotions purport to tell us about the evaluative realm, in much the same way that sensory perceptions inform us about the sensible world. An important development of this position, prominent in recent work by Peter Goldie amongst others, concerns the essential role that virtuous habits of attention play in enabling us to gain perceptual and evaluative knowledge. I think that (...) there are good reasons to be sceptical about this picture of virtue. In this essay I set out these reasons, and explain the consequences this scepticism has for our understanding of the relation between virtue, emotion, and attention. In particular, I argue that our primary capacity for recognizing value is in fact a non-emotional capacity. (shrink)

The emotions of guilt, shame, disappointment and grief, and the bodily states of pain and suffering, have something in common, at least phenomenologically: they are all unpleasant, they feel bad. But how might we explain what it is for some state to feel bad or unpleasant? What, in other words, is the nature of negative affect? In this paper I want to consider the prospects for evaluativist theories, which seek to explain unpleasantness by appeal to negative evaluations or appraisals. In (...) particular, I want to consider versions of evaluativism that seek to explain negative affect in terms of a kind of negative perceptual experience. These views thus attempt to explain feeling bad in terms of seeing bad. Now the most prominent evaluativist accounts of negative affect have been developed in the pain literature, and so my paper will primarily be focused on the question of whether evaluativism can provide a plausible account of the painfulness or unpleasantness of pain. I will argue that evaluativism faces serious objections on this score. Since my conclusions can be extended to cover negative affect more generally, however, we have good reason to reject evaluativist accounts of the negative affect involved in emotional experience. My arguments will thus have implications for those interested in the nature of emotional valence. I'll conclude with some brief remarks about the shape that a ‘relational’ account of painfulness in particular, and of negative affect in general, should take, in light of these criticisms of evaluativism. In my view, such views should appeal, not to negative evaluations to explain feeling bad, but to dislike. (shrink)

We start by noting that the set-theoretic and semantic paradoxes are framed in terms of a definition or series of definitions. In the process of deriving paradoxes, these definitions are logically represented by a logical equivalence. We will firstly examine the role and usage of definitions in the derivation of paradoxes, both set-theoretic and semantic. We will see that this examination is important in determining how the paradoxes were created in the first place and indeed how they are to be (...) solved in a uniform way. There are three features that are special about these definitions used in the derivation of most of the above paradoxes. The first is the use of self-reference between the definiens and the definiendum, the second is the generality of the definiendum, and the third is the under-determination and over-determination of concepts that usually occur as a result of these definitions. We will examine the impact of these three features on the logical representation of definitions and show how this representation then leads to a uniform paradox solution using an appropriate logic that is both paraconsistent and paracomplete. However, it is the paracompleteness, exhibited through the rejection of the Law of Excluded Middle, together with the rejection of contraction principles, that enables the solution of the paradoxes to go through. We characterize definitions as involving syntactic identity and/or meaning identity. We point out that some paradoxes do not have explicit self-reference or circularity and some may not utilize the generality of the definiendum, but the general characterizations of definitions that we give will still apply. We also look beyond all this to paradoxes that rely on illicit definitions between objects that are essentially different to start with. (shrink)

In the field of business ethics, expositions of ethical theory have tended to focus on deontology and utilitarianism. More inclusive reviews of ethical theory tend to be historical and unsystematic. This paper approaches the task of representing the variety of ethical theories systematically. It does so by constructing a schema of possibilities in ethical theory which maps out six "voices", or theoretical positions, all of which are relevant and important for understanding ethics in business. This approach helps to account for (...) the continual presence of dilemmas and conflicts in ethics. (shrink)

The main aim is to extend the range of logics which solve the set-theoretic paradoxes, over and above what was achieved by earlier work in the area. In doing this, the paper also provides a link between metacomplete logics and those that solve the paradoxes, by finally establishing that all M1-metacomplete logics can be used as a basis for naive set theory. In doing so, we manage to reach logics that are very close in their axiomatization to that of the (...) logic R of relevant implication. A further aim is the use of metavaluations in a new context, expanding the range of application of this novel technique, already used in the context of negation and arithmetic, thus providing an alternative to traditional model theoretic approaches. (shrink)

This paper deals with a collection of concerns that, over a period of time, led the author away from the Routley–Meyer semantics, and towards proof- theoretic approaches to relevant logics, and indeed to the weak relevant logic MC of meaning containment.

This volume brings together papers by some of the leading figures working on virtue-theoretic accounts in both ethics and epistemology. A collection of cutting edge articles by leading figures in the field of virtue theory including Guy Axtell, Julia Driver, Antony Duff and Miranda Fricker. The first book to combine papers on both virtue ethics and virtue epistemology. Deals with key topics in recent epistemological and ethical debate.

Over recent decades, pain has received increasing attention as – with ever greater sophistication and rigour – theorists have tried to answer the deep and difficult questions it poses. What is pain’s nature? What is its point? In what sense is it bad? The papers collected in this volume are a contribution to that effort ...

Managers throughout the world regularly face ethical dilemmas that have important, and perhaps complex, professional and personal implications. Further, societal consequences of decisions made can be far-reaching. In this study, 210 financial services managers from Australia, Chile, Ecuador and the United States were queried about their ethical beliefs when faced with four diverse dilemmas. In addition, the situational context was altered so the respondent viewed each dilemma from a top management position and from a position of economic hardship. Results suggest (...) a complex interaction of situation, culture and issue when individuals make ethical judgments. Specifically, Chileans were found to have different beliefs about sex discrimination and child labor dilemmas when compared to their colleagues from the other three nations. Chileans and Australians also disagreed on the bribery dilemma. Anglo managers were more likely than Latin American managers to change their ethical responses when the situation was altered. For multinational firms interested in maintaining healthy ethical climates, the findings suggest that culturally contingent ethical guidelines, or policies adapted to the local customs, must be considered. Further, managers must remain aware of issues related to specific situations, both internal and external, that would cause subordinates to alter their moral judgment. (shrink)