This paper presents a new argument for the likelihood ratio measure of confirmation by showing that one of the adequacy criteria used in another argument can be replaced by a more plausible and better supported criterion which is a special case of the weak likelihood principle. This new argument is also used to show that the likelihood ratio measure is to be preferred to a measure that has recently received support in the literature.

To open a newspaper or turn on the television it would appear that science and religion are polar opposites - mutually exclusive bedfellows competing for hearts and minds. There is little indication of the rich interaction between religion and science throughout history, much of which continues today. From ancient to modern times, mathematicians have played a key role in this interaction. This is a book on the relationship between mathematics and religious beliefs. It aims to show that, throughout scientific history, (...) mathematics has been used to make sense of the 'big' questions of life, and that religious beliefs sometimes drove mathematicians to mathematics to help them make sense of the world. Containing contributions from a wide array of scholars in the fields of philosophy, history of science and history of mathematics, this book shows that the intersection between mathematics and theism is rich in both culture and character. Chapters cover a fascinating range of topics including the Sect of the Pythagoreans, Newton's views on the apocalypse, Charles Dodgson's Anglican faith and Gödel's proof of the existence of God. (shrink)

Two models are developed for updating opinions in social networks under situations where certain beliefs might be considered to be competing. These two models represent different attitudes of people towards the perceived conflict between beliefs. In both models agents have a degree of tolerance, which represents the extent to which the agent takes into account the differing beliefs of other agents, and a degree of conflict, which represents the extent to which two beliefs are considered to be competing. Computer simulations (...) are used to determine how the opinion dynamics are affected by the inclusion of conflict. Results show that conflict can enhance the formation of consensus within the network in certain circumstances according to one of the models. (shrink)

Two models are developed for updating opinions in social networks under situations where certain beliefs might be considered to be competing. These two models represent different attitudes of people towards the perceived conflict between beliefs. In both models agents have a degree of tolerance, which represents the extent to which the agent takes into account the differing beliefs of other agents, and a degree of conflict, which represents the extent to which two beliefs are considered to be competing. Computer simulations (...) are used to determine how the opinion dynamics are affected by the inclusion of conflict. Results show that conflict can enhance the formation of consensus within the network in certain circumstances according to one of the models. (shrink)

Let us begin with the simple observation that applied mathematics can be very tough! It is a common occurrence that basic physical principle instructs us to construct some syntactically simple set of differential equations, but it then proves almost impossible to extract salient information from them. As Charles Peirce once remarked, you can’t get a set of such equations to divulge their secrets by simply tilting at them like Don Quixote. As a consequence, applied mathematicians are often forced to pursue (...) roundabout and shakily rationalized expedients if any useful progress is to be made. Often these provisional and quasi-empirical procedures within applied mathematics loom large in motivating the “anti-realist” or “anti-unificationist” conclusions of Nancy Cartwright and allied authors. (shrink)

This is one of those cases to which Dr. 8 oodhouse's remark applies with all its force, that a method which leads to true results must have its logic — H.S Smith (" On Some of the Methods at Present in Use in Pure Geometry," p. 6) A goodly amount of modern metaphysics has concerned itself, in one form or another, with the question: what attitude should we take in regard to a language whose semantic underpinnings seem less than certain? (...) Since much of standard English is surely of this type, many philosophers have felt driven to extreme and unpalatable resolutions — wholesale rejection of attractive logical rules, radical "antirealism", "minimalism" about truth, and so forth, Scientists, however, have long dealt with analogous foundational insecurities and, under the duress of practicality, have framed a set of shifting attitudes towards language and reasoning that seem far more commonsensical than the extreme positions to which pure philosophy has often been led. Following this lead, this essay will recommend a more nuanced approach to linguistic insecurity that is neither naively optimistic nor mired in the gloomy sloughs of antirealism. (shrink)

On the basis of careful textual exegesis and philosophical analysis, and contrary to the received view, Mark R. Wheeler demonstrates that Aristotle presents and systematically explicates his definition of the essence of the truth in the Metaphysics. Aristotle states the nominal definitions of the terms "truth" and "falsehood" as part of his arguments in defense of the logical axioms. These nominal definitions express conceptions of truth and falsehood his philosophical opponents would have recognized and accepted in the context of (...) dialectical argument. On the basis of these nominal definitions, Aristotle develops his definitions of the essences of truth and falsehood--his "real" definitions of truth and falsehood. Aristotle's methodical exposition of his essential definitions of truth and falsehood in the Metaphysics serves as a well-developed example of how his philosophical inquiry starts with nominal definitions and ends with real definitions. Wheeler also argues for the novel claim that Aristotle defines the most fundamental kind of truth in terms of accurate measurement. Aristotle's metrical conception of truth serves as the theoretical basis for specifying the truth conditions of various assertions, for identifying the sorts of beings implicated in these truth conditions, and for explaining the nature of approximate truth and falsehood. Far from offering us a minimal account of truth, Wheeler shows how Aristotle offers us a sophisticated and metrical theory of truth. (shrink)

There is considerable likelihood that Gottlob Frege began writing his Foundations of Arithmetic with the expectation that he could introduce his numbers, not with sets, but through some algebraic techniques borrowed from earlier writers of the Gottingen school. These rewriting techniques, had they worked, would have required strong philosophical justification provided by Frege's celebrated "context principle," which otherwise serves little evident purpose in the published Foundations.

The ability to engage in reflexive thought—in thought about thought or about other mental states more generally—is regarded as a complex intellectual achievement that is beyond the capacities of most nonhuman animals. To the extent that reflexive thought capacities are believed necessary for the possession of many other psychological states or capacities, including consciousness, belief, emotion, and empathy, the inability of animals to engage in reflexive thought calls into question their other psychological abilities. This chapter attacks the idea that reflexive (...) thought is required in this pervasive way and holds that supposing that it is derives from a tendency among philosophers and scientists toward overcomplication. Against this tendency, it recommends an aponoian framework, from apó, “away from” and noûs, “intelligence” or “thought,” arguing that seemingly complex psychological abilities are often not as complex as they seem, and do not require the ability to engage in reflexive thought. (shrink)

Philosophers have come to distinguish between ‘right’ and ‘wrong’ kinds of reasons for belief, intention, and other attitudes. Several theories about the nature of this distinction have been offered, by far the most prevalent of which is the idea that it is, at bottom, the distinction between what are known as ‘object-given’ and ‘state-given’ reasons. This paper argues that the object-given/state-given theory vastly overgeneralizes on a small set of data points, and in particular that any adequate account of the distinction (...) between the ‘right’ and ‘wrong’ kinds of reason must allow state-given reasons to be of the right kind. The paper has three main goals, corresponding to its three main parts. In part 1 I set up the problem by introducing the right-kind/wrong-kind distinction, the object-given/state-given distinction, and the object-given/state-given theory, according to which the former distinction simply amounts to the latter. Part 2 presents the main argument of the paper: I argue against the object-given/state-given theory by showing that all of the earmarks of the ‘right’ and ‘wrong’ kinds of reason apply to reasons not to intend and not to believe, but that these cases can’t be captured by the object-given/state-given theory. Finally, in part 3 I use these arguments to motivate and explore a more general hypothesis about the rightkind/wrong-kind distinction, and explore some of the consequences of rejecting the object-given/stategiven theory. (shrink)

1. This paper contributes to the broader debate about how elite school institutions manage to remain alert and responsive to changing education market conditions, locally and globally, by explicitl...

Several authors have recently endorsed the thesis that there is what has been called pragmatic encroachment on knowledge—in other words, that two people who are in the same situation with respect to truth-related factors may differ in whether they know something, due to a difference in their practical circumstances. This paper aims not to defend this thesis, but to explore how it could be true. What I aim to do, is to show how practical factors could play a role in (...) defeating knowledge by defeating epistemic rationality—the very kind of rationality that is entailed by knowledge, and in which Pascalian considerations do not play any role—even though epistemic rationality consists in having adequate evidence. (shrink)

It is time to bring the rich resources of these traditions into the contemporary debate about the nature of self. This volume is the first of its kind.

Intentions matter. They have some kind of normative impact on our agency. Something goes wrong when an agent intends some end and fails to carry out the means she believes to be necessary for it, and something goes right when, intending the end, she adopts the means she thinks are required. This has even been claimed to be one of the only uncontroversial truths in ethical theory. But not only is there widespread disagreement about why this is so, there is (...) widespread disagreement about in what sense it is so. In this paper I explore an underdeveloped answer to the question of in what sense it is so, and argue that resolving an apparent difficulty with this view leads to an attractive picture about why it is so. (shrink)

In the 1960s, Peter Geach and John Searle independently posed an important objection to the wide class of 'noncognitivist' metaethical views that had at that time been dominant and widely defended for a quarter of a century. The problems raised by that objection have come to be known in the literature as the Frege-Geach Problem, because of Geach's attribution of the objection to Frege's distinction between content and assertoric force, and the problem has since occupied a great deal of the (...) attention both of defenders of broadly noncognitivist views, and of their critics. In this article I explain Geach and Searle's historical objections, and put the subsequent discussion into dialectical context, paying some attention to the developments along the way and how they have enhanced our overall understanding of the problem. The article covers a lot of territory, so we will only be able to see the highlights, along the way. For further reading, see the Works Cited. (shrink)

This paper is a survey of recent ‘hybrid’ approaches to metaethics, according to which moral sentences, in some sense or other, express both beliefs and desires. I try to show what kinds of theoretical issues come up at the different choice points we encounter in developing such a view, to raise some problems and explain where they come from, and to begin to get a sense for what the payoff of such views can be, and what they will need to (...) do in order to earn that payoff. (shrink)

Allow me to rehearse a familiar scenario. We all know that which ends you have has something to do with what you ought to do. If Ronnie is keen on dancing but Bradley can’t stand it, then the fact that there will be dancing at the party tonight affects what Ronnie and Bradley ought to do in different ways. In short, (HI) you ought, if you have the end, to take the means. But now trouble looms: what if you have (...) dreadful, murderous ends? Ought you to take the means to them? Seemingly not. But fortunately, an assumption made by deontic logics1 comes to the rescue. Since ‘‘ought’’, according to this assumption, is a sentential operator, HI must really be ambiguous. It could be read either as (Narrow) You have the end ! O(you take the means) or as (Wide) O(you have the end ! you take the means). Now if Narrow is true, then you really ought to take the means to your murderous ends. But this doesn’t follow from Wide. All that follows from Wide is that you ought to either take the means to these ends or else give them up. Conclusions: (1) Since HI is on some reading true, but Narrow isn’t, Wide is true. (2) Wide accounts for the relationship between your ends and what you ought to do. This elegant scenario repeats itself in many other domains in which it seems like something can have a bearing on what some particular agent ought to do. Does what you know affect what you ought to do? Do your beliefs about what you ought to do affect what you ought to do? Do your promises affect what you ought to do? Do your beliefs affect what you ought to believe? On each of these counts, the intuitive answer is ‘‘yes’’. And so each of these questions leaves something for the moral philosopher or the epistemologist to investigate. On each count, it seems that what we all know, is that (Account) you ought, if p, to do A. But on each count, the Narrow-scope reading of the ‘‘ought’’ in this claim yields unintuitive consequences. So since Account is true, it must be true on the Wide-scope reading.. (shrink)

Stereological techniques allow biologists to create quantitative, three-dimensional descriptions of biological structures from two- dimensional images of tissue viewed under the microscope. For example, they can accurately estimate the size of a particular organelle, the total length of a mass of capillaries, or the number of neurons or synapses in a particular region of the brain. This book provides a practical guide to designing and critically evaluating stereological studies of the nervous system and other tissues. It explains the basic concepts (...) behind design-based stereology and how to get started. Also included are detailed descriptions of how to prepare tissue appropriately, perform pilot studies and decide on the appropriate sampling strategy, and account for phenomena such as tissue shrinkage. Numerous examples of applications of stereological methods that are applicable to studies of the central system and a wide variety of other tissues are explained. The book is therefore essential reading for neurobiologists and cell biologists interested in generating accurate representations of cell and tissue architecture. (shrink)

It is now generally understood that constraints play an important role in commonsense moral thinking and generally accepted that they cannot be accommodated by ordinary, traditional consequentialism. Some have seen this as the most conclusive evidence that consequentialism is hopelessly wrong,1 while others have seen it as the most conclusive evidence that moral common sense is hopelessly paradoxical.2 Fortunately, or so it is widely thought, in the last twenty-five years a new research program, that of Agent-Relative Teleology, has come to (...) the rescue on all sides. While consequentialism says that every agent ought always to do that action that will bring about the most good, according to Agent- Relative Teleology. (shrink)

Particularists in ethics emphasize that the normative is holistic, and invite us to infer with them that it therefore defies generalization. This has been supposed to present an obstacle to traditional moral theorizing, to have striking implications for moral epistemology and moral deliberation, and to rule out reductive theories of the normative, making it a bold and important thesis across the areas of normative theory, moral epistemology, moral psychology, and normative metaphysics. Though particularists emphasize the importance of the holism of (...) the normative, however, it is not something that they have been able to explain. In this paper I’ll show how to use a small number of simple and, I’ll argue, independently compelling assumptions in order to both predict and explain the holistic features of the normative with respect to the non-normative. The basic idea of the paper is simple. It is that normative claims are holistic because they are general, rather than because they defy generalization. (shrink)

Expressivists have a problem with negation. The problem is that they have not, to date, been able to explain why ‘murdering is wrong’ and ‘murdering is not wrong’ are inconsistent sentences. In this paper, I explain the nature of the problem, and why the best efforts of Gibbard, Dreier, and Horgan and Timmons don’t solve it. Then I show how to diagnose where the problem comes from, and consequently how it is possible for expressivists to solve it. Expressivists should accept (...) this solution, I argue, because it is demonstrably the only way of avoiding the problem, and because it generalizes. Once we see how to solve the negation problem, I show, it becomes easy to state a constructive, compositional expressivist semantics for a purely normative language with the expressive power of propositional logic, in which we can for the first time give explanatory, formally adequate expressivist accounts of logical inconsistency, logical entailment, and logical validity. As a corollary, I give what I take to be the first real expressivist explanation of why Geach’s original moral modus ponens argument is genuinely logically valid. This proves that the problem with expressivism cannot be that it can’t account for the logical properties of complex normative sentences. But it does not show that the same solution can work for a language with both normative and descriptive predicates, let alone that expressivists are able to deal with more complex linguistic constructions like tense, modals, or even quantifiers. In the final section, I show what kind of constraints the solution offered here would place expressivists under, in answering these further questions. (shrink)

It doesn’t seem possible to be a realist about the traditional Christian God while claiming to be able to reduce God talk in naturalistically acceptable terms. Reduction, in this case, seems obviously eliminativist. Many philosophers seem to think that the same is true of the normative—that reductive “realists” about the normative are not really realists about the normative at all, or at least, only in some attenuated sense. This paper takes on the challenge of articulating what it is that makes (...) reductive theological realism look hopeless, with the aim of explaining why we should think that the normative is relevantly different. Although it follows from my diagnosis that reductivists have their work cut out for them, I find nothing which suggests that the prospects for a successful reductive realism about the normative are in any way diminished—particularly for reductive views about reasons. Even reductivists, I argue, can at least aspire to a realism that is robust. (shrink)

Expressivism’s central idea is that normative sentences bear the same relation to non-cognitive attitudes that ordinary descriptive sentences bear to beliefs: the expression relation. Allan Gibbard teIls us that “that words express judgments will be accepted by almost everyone” - the distinctive contribution of expressivism, his claim goes, is only a view about what kind of judgments words express. But not every account of the expression relation is equally suitable for the expressivist’s purposes. In fact, what I argue in this (...) paper, considering four possible accounts of expression, is that how suitable each account is for the expressivist’s purpose varies in proportion to how controversial it is. So Gibbard is wrong - if expression is to get expressivism off the ground, then it will be enormously controversial whether words do express judgments. And thus expressivism is committed to strong claims about the semantics of non-normative language. (shrink)

For any system that uses previous experience to solve problems in new situations, it is necessary to identify the features in the situation that should match features in the previous cases through some process ofsituation analysis. In this paper, we examine this problem in the legal domain, where lawyers know it asissue spotting. In particular, we present an implementation of issue spotting in CHASER, a legal reasoning system that works in the domain of tort law.This approach is a compromise between (...) generality and efficiency, and is applicable to a range of problems and domains besides legal reasoning. In particular, it presents a principled way to use multiple cases for a single problem by exploiting the inherent structure present in many domains. (shrink)

Socrates provides an argument at the end of the Apology that he believes gives hope that death is a blessing. This argument, grounded on the claim that death is one of two things, has been the subject of much derision and some recent defense. In this essay, I build on the work of other sympathetic commentators to show that Socrates' argument, when taken in context, not only makes good sense, but unifies Socrates' speech into a cohesive exhortation toward virtue.

This paper addresses the two extensional objections to the Humean Theory of Reasons—that it allows for too many reasons, and that it allows for too few. Although I won’t argue so here, manyof the other objections to the Humean Theoryof Reasons turn on assuming that it cannot successfully deal with these two objections.1 What I will argue, is that the force of the too many and the too few objections to the Humean Theorydepend on whether we assume that Humeans are (...) committed to a thesis about the weight of reasons—one I call Proportionalism. In particular, I’ll show how a version of the Humean Theorythat rejects Proportionalism can reasonablyhope to escape both the too many and the too few objections. This will constitute my defense of this version of the Humean Theory. But then, separately, I will argue that this defense of the Humean Theoryis not ad hoc. I’ll argue that Humeans have no reason to accept Proportionalism in the first place. Or at least, no weightyone. There are three parts to the paper. In Part 1 we introduce the Humean Theoryand the too few reasons objection. I’ll first layout the objection, and then layout the basis for a response on behalf of myfavored version of the Humean Theory. There will be an obvious objection to my defense— but it will turn out to depend on the assumption of Proportionalism. This will constitute myargument that the susceptibilityof the Humean Theoryto.. (shrink)

Nondescriptivist views in many areas of philosophy have long been associated with the commitment that in contrast to other domains of discourse, there are no propositions in their particular domain. For example, the ‘no truth conditions’ theory of conditionals1 is understood as the view that conditionals don’t express propositions, noncognitivist expressivism in metaethics is understood as advocating the view that there are not really moral propositions,2 and expressivism about epistemic modals is thought of as the view that there is no (...) such thing as the proposition that Jack might be at home, over and above the proposition that Jack is at home.3 Of course, it is nearly always acknowledged that advocates of a nondescriptivist theory need not deny that there are conditional, moral, or modal propositions ‘at the end of the day’ – for if they also endorse a deflationary reading of talk about propositions, as famously advocated by Simon Blackburn, then they can employ such deflationary talk just as much as the rest of us. They just don’t appeal to propositions to do any of the work in their theories. Rather, they ‘earn the right’ to talk about propositions.4 It is the aim of this paper to upset this way of thinking about the proper attitude of nondescriptivists toward propositions, and to advocate a more constructive and in some ways more radical alternative on behalf of the nondescriptivist. I will begin by introducing and developing a set of problems that are faced by any nondescriptivist theory which tries to do without propositions. All of these problems are easily solved by any view which postulates propositions across the board, but none of them are solved by merely deflationary talk about propositions – their most promising solutions require propositions to do real theoretical work, and therefore the problems themselves remind us of and illustrate some of the important reasons why it is worth positing propositions in the first place.. (shrink)

Moral theories usually aspire to be explanatory – to tell us why something is wrong, why it is good, or why you ought to do it. So it is worth knowing how moral explanations differ, if they do, from explanations of other things. This paper uncovers a common unarticulated theory about how normative explanations must work – that they must follow what I call the Standard Model. Though the Standard Model Theory has many implications, in this paper I focus primarily (...) on only one. It plays a crucial role in an argument originally due to Cudworth that has been widely held to conclusively establish that voluntaristic ethical theories are incoherent. But if Cudworth’s argument works, then so would similar arguments against many other moral theories. All of these theories therefore need a different model for how normative explanations can work. So I also motivate and sketch one such alternative model. The result enables us to make progress in evaluating the prospects for a successful reductive view about the normative. (shrink)

Together again for the first time, Marx and Durkheim join forces in the pages of Disintegration: Bad Love, Collective Suicide, and the Idols of Imperial Twilight for a dialectical exploration of the moral economy of neoliberalism, animated, as it is not only by the capitalist chase for surplus value, but also by an immortal vortex of sacred powers. Classical sociology and psychoanalysis are reconstituted within Hegelian social ontology and dialectical method that differentiates between the ephemeral and free and the eternal (...) and fixed aspects of modern life. (shrink)

In ancient China, a revered Taoist sage named Zhuangzi told many parables. In Existential Psychology and the Way of the Tao, a selection of these parables will be featured. Following each parable, an eminent existential psychologist will share a personal and scholarly reflection on the meaning and relevance of the parable for psychotherapy and contemporary life. The major tenets of Zhuangzi's philosophy are featured. Taoist concepts of emptiness, stillness, Wu Wei (i.e. intentional non-intentionality), epistemology, dreams and the nature of reality, (...) character building in the midst of pain, meaning and the centrality of relationships, authenticity, self-care, the freedom that can come from one's willingness to confront death, spiritual freedom, and gradations of therapeutic care are topics highlighted in this book. (shrink)

What can we learn about the nature of technology by studying practices of maintenance and repair? This volume addresses this question by bringing together scholarship from philosophers of technology working at the forefront of this emerging and exciting topic. -/- The chapters in this volume explore how attending to maintenance and repair can challenge and complement existing ways of thinking about technology focused on use and design and introduce new philosophical perspectives on the relationship between technology, time and human practice. (...) They examine the significance of maintenance and repair practices at different scales in relation to a diverse range of philosophical traditions and a wide variety of technologies, from urban infrastructure such as bridges and buildings to data technologies such as servers and software systems. Together, the contributions highlight common themes in the philosophical study of maintenance, including the role of skill, the significance of social values and the potential of these practices to transform the technologies to which they are applied. By reflecting on the different ways in which we keep technologies going, from the devices we use in our homes to the large technical systems which surround us, this volume reveals the philosophical significance of practices of maintenance, not only as a source of new insights but also as a resource for enriching our understanding of a variety of existing topics in philosophy. -/- Maintenance and Philosophy of Technology will appeal to scholars and advanced students working in philosophy of technology, philosophy of engineering and science & technology studies. (shrink)

Metaethical expressivists claim that we can explain what moral words like ‘wrong’ mean without having to know what they are about – but rather by saying what it is to think that something is wrong – namely, to disapprove of it. Given the close connection between expressivists’ theory of the meaning of moral words and our attitudes of approval and disapproval, expressivists have had a hard time shaking the intuitive charge that theirs is an objectionably subjectivist or mind-dependent view of (...) morality. Expressivism, critics have charged over and again, is committed to the view that what is wrong somehow depends on or at least correlates with the attitudes that we have toward it. Arguments to this effect are sometimes subtle, and sometimes rely on fancy machinery, but they all share a common flaw. They all fail to respect the fundamental idea of expressivism: that ‘stealing is wrong’ bears exactly the same relationship to disapproval of stealing as ‘grass is green’ bears to the belief that grass is green. In this paper I rehearse the motivations for the fundamental idea of expressivism and show how the arguments of Frank Jackson and Philip Pettit [1998], Russ Shafer-Landau [2003], Jussi Suikkanen [2009], and Christopher Peacocke [2004] all fail on this same rock. In part 1 I’ll rehearse the motivation for expressivism – a motivation which directly explains why it does not have subjectivist consequences. Then in each of parts 2-5 I’ll illustrate how each of Jackson and Pettit’s, Peacocke’s, Shafer-Landau’s, and Suikkanen’s arguments work, respectively, and why each of them fails to respect the fundamental parity at the heart of expressivism. Though others have tried before me to explain why expressivism is not committed to any kind of subjectivism or mind-dependence – prominently including Blackburn [1973], [1998], Horgan and Timmons [2006], and, in response to Pettit and Jackson, Dreier [2004] and Smith and Stoljar [2003], the explanation offered in this article is distinguished by its scope and generality.. (shrink)