In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of this chapter is to survey some of this literature and explain how it can contribute to the philosophy of mathematical practice. We first describe how mathematics educators use empirical methodologies to investigate the behaviors of mathematicians and argue that findings from these studies can inform the philosophy of mathematical practice. We then illustrate this by summarizing research on mathematicians’ (...) understandings and mathematicians’ proof reading. (shrink)

What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.

Mathematical explanations are poorly understood. Although mathematicians seem to regularly suggest that some proofs are explanatory whereas others are not, none of the philosophical accounts of what such claims mean has become widely accepted. In this paper we explore Wilkenfeld’s suggestion that explanations are those sorts of things that generate understanding. By considering a basic model of human cognitive architecture, we suggest that existing accounts of mathematical explanation are all derivable consequences of Wilkenfeld’s ‘functional explanation’ proposal. We therefore argue that (...) the explanatory criteria offered by earlier accounts can all be thought of as features that make it more likely that a mathematical proof will generate understanding. On the functional account, features such as characterising properties, unification, and salience correlate with explanatoriness, but they do not define explanatoriness. (shrink)

We investigated whether mathematicians typically agree about the qualities of mathematical proofs. Between-mathematician consensus in proof appraisals is an implicit assumption of many arguments made by philosophers of mathematics, but to our knowledge the issue has not previously been empirically investigated. We asked a group of mathematicians to assess a specific proof on four dimensions, using the framework identified by Inglis and Aberdein (2015). We found widespread disagreement between our participants about the aesthetics, intricacy, precision and utility of the (...) proof, suggesting that a priori assumptions about the consistency of mathematical proof appraisals are unreasonable. (shrink)

In this article, we report a study in which 109 research-active mathematicians were asked to judge the validity of a purported proof in undergraduate calculus. Significant results from our study were as follows: (a) there was substantial disagreement among mathematicians regarding whether the argument was a valid proof, (b) applied mathematicians were more likely than pure mathematicians to judge the argument valid, (c) participants who judged the argument invalid were more confident in their judgments than those who judged it valid, (...) and (d) participants who judged the argument valid usually did not change their judgment when presented with a reason raised by other mathematicians for why the proof should be judged invalid. These findings suggest that, contrary to some claims in the literature, there is not a single standard of validity among contemporary mathematicians. (shrink)

Many of the methods commonly used to research mathematical practice, such as analyses of historical episodes or individual cases, are particularly well-suited to generating causal hypotheses, but less well-suited to testing causal hypotheses. In this paper we reflect on the contribution that the so-called hypothetico-deductive method, with a particular focus on experimental studies, can make to our understanding of mathematical practice. By way of illustration, we report an experiment that investigated how mathematicians attribute aesthetic properties to mathematical proofs. We demonstrate (...) that perceptions of the aesthetic properties of mathematical proofs are, in some cases at least, subject to social influence. Specifically, we show that mathematicians’ aesthetic judgements tend to conform to the judgements made by others. Pedagogical implications are discussed. (shrink)

Nonsymbolic comparison tasks are commonly used to index the acuity of an individual's Approximate Number System (ANS), a cognitive mechanism believed to be involved in the development of number skills. Here we asked whether the time that an individual spends observing numerical stimuli influences the precision of the resultant ANS representations. Contrary to standard computational models of the ANS, we found that the longer the stimulus was displayed, the more precise was the resultant representation. We propose an adaptation of the (...) standard model, and suggest that this finding has significant methodological implications for numerical cognition research. (shrink)

There has been little overt discussion of the experimental philosophy of logic or mathematics. So it may be tempting to assume that application of the methods of experimental philosophy to these areas is impractical or unavailing. This assumption is undercut by three trends in recent research: a renewed interest in historical antecedents of experimental philosophy in philosophical logic; a “practice turn” in the philosophies of mathematics and logic; and philosophical interest in a substantial body of work in adjacent disciplines, such (...) as the psychology of reasoning and mathematics education. This introduction offers a snapshot of each trend and addresses how they intersect with some of the standard criticisms of experimental philosophy. It also briefly summarizes the specific contribution of the other chapters of this book. (shrink)

This book explores the results of applying empirical methods to the philosophy of logic and mathematics. Much of the work that has earned experimental philosophy a prominent place in twenty-first century philosophy is concerned with ethics or epistemology. But, as this book shows, empirical methods are just as much at home in logic and the philosophy of mathematics. -/- Chapters demonstrate and discuss the applicability of a wide range of empirical methods including experiments, surveys, interviews, and data-mining. Distinct themes emerge (...) that reflect recent developments in the field, such as issues concerning the logic of conditionals and the role played by visual elements in some mathematical proofs. -/- Featuring leading figures from experimental philosophy and the fields of philosophy of logic and mathematics, this collection reveals that empirical work in these disciplines has been quietly thriving for some time and stresses the importance of collaboration between philosophers and researchers in mathematics education and mathematical cognition. (shrink)

Two experiments are reported which investigate the factors that influence how persuaded mathematicians are by visual arguments. We demonstrate that if a visual argument is accompanied by a passage of text which describes the image, both research-active mathematicians and successful undergraduate mathematics students perceive it to be significantly more persuasive than if no text is given. We suggest that mathematicians’ epistemological concerns about supporting a claim using visual images are less prominent when the image is described in words. Finally we (...) suggest that empirical studies can make a useful contribution to our understanding of mathematical practice. (shrink)

Mathematicians often conduct aesthetic judgements to evaluate mathematical objects such as equations or proofs. But is there a consensus about which mathematical objects are beautiful? We used a comparative judgement technique to measure aesthetic intuitions among British mathematicians, Chinese mathematicians, and British mathematics undergraduates, with the aim of assessing whether judgements of mathematical beauty are influenced by cultural differences or levels of expertise. We found aesthetic agreement both within and across these demographic groups. We conclude that judgements of mathematical beauty (...) are not strongly influenced by cultural difference, levels of expertise, and types of mathematical objects. Our findings contrast with recent studies that found mathematicians often disagree with each other about mathematical beauty. (shrink)

"This book is interesting and well-written. The research methods were explained clearly and conclusions were summarized nicely. It is a relatively quick read at only 130 pages. Anyone who has been told, or who has told others, that mathematicians make better thinkers should read this book." MAA Reviews "The authors particularly attend to protecting positive correlations against the self-selection interpretation, merely that logical minds elect studying more mathematics. Here, one finds a stimulating survey of the systemic difficulties people have with (...) basic syllogisms and deductions." CHOICE connect "The authors particularly attend to protecting positive correlations against the self-selection interpretation, merely that logical minds elect studying more mathematics. Here, one finds a stimulating survey of the systemic difficulties people have with basic syllogisms and deductions." CHOICE Connect For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly investigated the issue, and those which have showed mixed results. Does Mathematical Study Develop Logical Thinking? describes a rigorous investigation of the TFD. It reviews the theory's history and prior research on the topic, followed by reports on a series of recent empirical studies. It argues that, contrary to the position held by sceptics, advanced mathematical study does develop certain general thinking skills, however these are much more restricted than those typically claimed by TFD proponents. Perfect for students, researchers and policymakers in education, further education and mathematics, this book provides much needed insight into the theory and practice of the foundations of modern educational policy. (shrink)

Many authors have commented on the relative frequency of the present tense—and the relative infrequency of the past tense—in mathematical writing. However, none (to our knowledge) have provided an estimate for the size of this effect or explored how universal it is. In this short note we report an analysis of corpora of mathematical and day-to-day English. We conclude that the present-to-past ratio of tenses is at least 3:1 in mathematical English, compared to approximately 5:7 in day-to-day English. Further, we (...) show that this tendency to favour the present tense is almost universally present in written mathematics. (shrink)

Mathematical notation includes a vast array of signs. Most mathematical signs appear to be symbolic, in the sense that their meaning is arbitrarily related to their visual appearance. We explored the hypothesis that mathematical signs with iconic aspects—those which visually resemble in some way the concepts they represent—offer a cognitive advantage over those which are purely symbolic. An early formulation of this hypothesis was made by Christine Ladd in 1883 who suggested that symmetrical signs should be used to convey commutative (...) relations, because they visually resemble the mathematical concept they represent. Two controlled experiments provide the first empirical test of, and evidence for, Ladd's hypothesis. In Experiment 1 we find that participants are more likely to attribute commutativity to operations denoted by symmetric signs. In Experiment 2 we further show that using symmetric signs as notation for commutative operations can increase mathematical performance. (shrink)

We examined a large set of conditional inference data compiled from several previous studies and asked three questions: How is normative performance related to intelligence? Does negative conclusion bias stem from Type 1 or Type 2 processing? Does implicit negation bias stem from Type 1 or Type 2 processing? Our analysis demonstrated that rejecting denial of the antecedent and affirmation of the consequent inferences was positively correlated with intelligence, while endorsing modus tollens inferences was not; that the occurrence of negative (...) conclusion bias was related to the extent of Type 2 processing; and that the occurrence of implicit negation bias was not related to the extent of Type 2 processing. We conclude that negative conclusion bias is, at least in part, a product of Type 2 processing, while implicit negation bias is not. (shrink)

A common description of a mathematical proof is as a logically structured sequence of assertions, beginning from accepted premises and proceeding by standard inference rules to a conclusion. Does this description match the language of proofs as mathematicians write them in their research articles? In this chapter, we use methods from corpus linguistics to look at the prevalence of imperatives and instructions in mathematical preprints from the arXiv repository. We find thirteen verbs that are used most often to form imperatives (...) in proofs, and that these show up significantly more often within proofs than in the surrounding mathematical writing. We also show that there are many more verbs used to form a diverse selection of instructions in proofs. These findings are at odds with the view of proofs as sequences of assertions. Instead, we argue in favour of the recipe model of proofs: that proofs are like recipes, giving instructions for mathematical actions to be carried out. (shrink)

In this chapter we use methods of corpus linguistics to investigate the ways in which mathematicians describe their work as explanatory in their research papers. We analyse use of the words explain/explanation (and various related words and expressions) in a large corpus of texts containing research papers in mathematics and in physical sciences, comparing this with their use in corpora of general, day-to-day English. We find that although mathematicians do use this family of words, such use is considerably less prevalent (...) in mathematics papers than in physics papers or in general English. Furthermore, we find that the proportion with which mathematicians use expressions related to ‘explaining why’ and ‘explaining how’ is significantly different to the equivalent proportion in physics and in general English. We discuss possible accounts for these differences. (shrink)

The literature on mathematical explanation contains numerous examples of explanatory, and not so explanatory proofs. In this paper we report results of an empirical study aimed at investigating mathematicians’ notion of explanatoriness, and its relationship to accounts of mathematical explanation. Using a Comparative Judgement approach, we asked 38 mathematicians to assess the explanatory value of several proofs of the same proposition. We found an extremely high level of agreement among mathematicians, and some inconsistencies between their assessments and claims in the (...) literature regarding the explanatoriness of certain types of proofs. (shrink)

This paper concerns a controversy between two compelling and popular claims in the theory of ability. One is the claim that ability requires control. The other is the claim that success entails ability, that is, that φ-ing entails that you are able to φ. Since actually φ-ing obviously does not entail that φ is in your control, these two claims cannot both be true. I introduce a new form of evidence to help adjudicate this controversy: judgments about the possibility and (...) probability of ability ascriptions. I argue that these judgments provide evidence in favor of the thesis that success entails ability, and against the thesis that ability requires control. Moreover, I argue that these judgments support an analysis of ability in terms of conditionals. (shrink)

Historically, the most persuasive argument against external reasons proceeds through a rationalist restriction: For all agents A, and all actions Φ, there is a reason for A to Φ only if Φing is rationally accessible from A's actual motivational states. Here I distinguish conceptions of rationality, show which one the internalist must rely on to argue against external reasons, and argue that a rationalist restriction that features that conception of rationality is extremely implausible. Other conceptions of rationality can render the (...) restriction true, but then the restriction simply fails to rule out external reasons. (shrink)

The deflationary aim of this book, which occupies Part I, is to show that a widely held view has little to be said for it. The constructive aim, pursued in Part II, is to make plausible a measure-theoretic account of propositional attitudes. The discussion is throughout instructive, illuminating and sensitive to the many intricacies surrounding attitude ascriptions and how they can carry information about a subject's psychology. There is close engagement with cognitive science. The book should be read by anyone (...) seriously engaged with issues about propositional attitudes.According to the widely held view, which Matthews calls the Received View, the attitude of Φing that p is a matter of standing in a computational/functional relation to an explicit Representation that expresses the proposition that p, and thinking is ‘an inferential computational process defined over one or more of these Representations that eventuates in the production of either another Representation or a behavior’. The representations are understood to be sentences in a language of thought and thus to have a compositional syntax and semantics. The theory that Matthews aims to make plausible has it that ascriptions of propositional attitudes in the form ‘X Φs that p’, ascribe a state to a person by relating that person to an abstract object that is the representative of the state in roughly the way that numbers on a scale are the measure-theoretic representations of certain physical magnitudes. We are to think of the role of ‘Jones believes that interest rates will fall’ by analogy with that of ‘Jones weighs 150lbs’. The latter depends on there being arithmetical relations defined over numbers that enable its particular assignment of a number to Jones's weight to represent physical properties that Jones has in virtue …. (shrink)

In her essay examining how rhetoric attends to an “explicitly nonhermeneutic, ethical dimension” of the relationship between self and other, Diane Davis argues that the act of attunement is vital to the rhetorical challenge of “keep[ing] hermeneutic interpretation from absorbing the strictly rhetorical gesture of the [other’s] approach, which interrupts the movement of appropriation and busts any illusion of having understood” (2005, 208, original hers). This comment is part of a larger conversation about ethical action in the face of radical (...) alterity, those marks and gestures of the other that “communicate more than I can comprehend, a ‘surplus’ of alterity that I can neither appropriate nor abdicate” (2005 .. (shrink)

An agent's intentional doings are often taken to be those for which a certain sort of teleological explanation is available: they are the ones that can be fitted into sequences of the form 'agent A-s in order to B, B-s in order to C, and so on'. It is natural to think that such teleological orderings are produced entirely by the agent's own (perhaps idealized) practical reasoning, and that they thus reveal the intentions with which the agent acts: he A-s (...) with the intention of thereby B-ing, B-s with the intention of thereby C-ing, and so on. This in turn suggests that if an agent X-s 'non-basically', he X-s intentionally if and only if he does something else with the intention of thereby X-ing. But what an agent intentionally does can also depend upon how his doings fit into 'autonomous teleologies' - teleologies having their origins outside of his will. If an agent intentionally A-s as part of his job, he might thereby intentionally A-s, where A-ing consists in operating a machine, he might thereby intentionally B not because his intention in A-ing is to B, but because A-ing is for the sake of B-ing in the machine's teleology. (shrink)

This masters thesis examines the interplay between ethics and selfhood amidst contemporary technological rationality. I use personal everyday photography as a foil in my analysis of the ways in which temporality is both constitutive of consciousness and the subject of practices of domestication via technics. In chapter one, I define personal everyday photography, address the two interconnected registers of selfhood, and advance an argument for mindfulness. In chapter two, I assess the ethical aspects of memory, temporality and thinking as they (...) relate to selfhood. In the final chapter, I relate these elements to contemporary technics, and argue that everyday personal photography supports and perpetuates the notion of static self-identity through time, and conscious self-making via practices of exclusion and elimination. In conclusion, I suggest we must exercise mindfulness in those practices that support selfness. Ultimately, ethical life might require less reliance on technological prostheses for remembering. (shrink)

Care ethics emphasizes responsibility as a key element for caring practices. Responsibilities to care are taken by certain groups of people, making caring practices into moral and political practices in which responsibilities are assigned, assumed, or implicitly expected, as well as deflected. Despite this attention for social practices of distribution and its unequal result, making certain groups of people the recipient of more caring responsibilities than others, the passive aspect of a caring responsibility has been underexposed by care ethics. By (...) drawing upon the work of the French phenomenologist Jean-Luc Marion, a care ethical conceptualization of responsibility can by enriched, by scrutinizing how responsibility is literally a response to something else. This paper starts with a vignette of an everyday situation of professional care. After that the current body of care ethical literature on responsibility is presented, followed by Marion’s phenomenology of givenness, using his analysis of Caravaggio’s painting The Calling of St. Matthew and resulting in his redefinition of responsibility. In the next section we present a table in which we juxtapose four distinct paradigms of responsibility, which we will describe briefly. The final section consists of an exploration of the paradigms by an analysis of the vignette and results in a conclusion concerning what Marion’s view has to offer to care ethics with regard to responsibility. (shrink)

"The problem of art in the modern era," according to the opening of Audrey Wasser's The Work of Difference: Modernism, Romanticism, and the Production of Literary Form, "is the problem of the new". Citing the familiar maxim of Ezra Pound, "make it new," Wasser locates in the problem of novelty the problem of modern art as such. Modernity inherits its fixation on the new from a longer tradition, which for Wasser begins with the German romantics in the wake of Kantian (...) aesthetics. Crucial for Wasser is the way in which the romantic philosophers, particularly Friedrich Schlegel and other contributors to the Athenaeum, attempted to resolve the problems with the Kantian system by "invest[ing] the literary with the... (shrink)

The impetus for this volume developed from the 1982 University of Western Ontario Learnability Workshop, which was organized by the editors and sponsored by that University's Department of Philosophy and the Centre for Cognitive Science. The volume e~plores the import of learnability theory for contemporary linguistic theory, focusing on foundational learning-theoretic issues associated with the parametrized Government-Binding framework. Written by prominent re searchers in the field, all but two of the eight contributions are pre viously unpublished. The editor's introduction provides (...) an overview that interrelates the separate papers and elucidates the foundational issues addressed by the volume. Osherson, Stob, and Weinstein's "Learning Theory and Natural Language" first appeared in Cognition ; Matthews's "The Plausi bility of Rationalism" was published in the Journal of Philosophy. The editors would like to thank the publishers for permission to reprint these papers. Mr. Marin Marinov assisted with the preparation of the indices for the volume. VB ROBERT 1. MATTHEWS INTRODUCTION: LEARNABILITY AND LINGUISTIC THEORY 1. INTRODUCTION Formal learning theory, as the name suggests, studies the learnability of different classes of formal objects under different formal models of learning. The specification of such a model, which specifies a learning environment, a learn ing strategy, and a criterion for successful learning, determines a class of formal objects, namely, the class that can be acquired to the level of the specified success criterion by a learner implementing the specified strategy in the specified enviroment. (shrink)

In Metaphysics Theta 3 Aristotle attributes to the Megarics and unknown others a notorious modal thesis: (M) something can φ only if it is φ-ing. Aristotle does not tell us what motivated (M). Almost all scholars take Aristotle’s report to indicate that the Megarics defended (M) as a highly counterintuitive doctrine in modal metaphysics. But this reading faces several problems. First: what would motivate the Megarics to hold such a counterintuitive view? The existing literature tries, in various ways, to motivate (...) (M) in a way neither trivial nor absurd. But, as we will argue, the main approaches end up attributing an unsustainable position to the Megarics. Second: most historical evidence for the Megaric lineage presents the group’s philosophical practice as dialectical or negative. So why think that the claim reported in Theta 3 presents a positive, and highly controversial, metaphysical claim? This paper addresses these problems by proposing a dialectical (or negative) reading of the Megarics in Theta 3. By ‘dialectical’ we here mean a mode of philosophizing that neither seeks to establish the truth or falsity of certain theses, nor takes a skeptical stance. There are different reasons why a philosopher might want to take up such a mode; in the case of the Megarics we argue that they might have wanted to put pressure on Aristotle’s idea of possibility and the ‘test’ for possibility that Aristotle mentions in several works. Reading, as we do, (M) as (part of) a paradox about possibility and actuality, we argue that the Megarics’ dialectical approach here aims to highlight a shortcoming of an intuitive conception of possibility, which underpins Aristotle’s idea of possibility and which features in his test for possibility. (shrink)

To explore issues of developmental structure, physical em- bodiment, integration of multiple sensory and motor systems, and social interaction, we have constructed an upper-torso humanoid robot called Cog. The robot has twenty-one degrees of freedom and a variety of sen- sory systems, including visual, auditory, vestibular, kinesthetic, and tac- tile senses. This chapter gives a background on the methodology that we have used in our investigations, highlights the research issues that have been raised during this project, and provides a summary (...) of both the current state of the project and our long-term goals. We report on a variety of implemented visual-motor routines (smooth-pursuit track- ing, saccades, binocular vergence, and vestibular-ocular and opto-kinetic re?exes), orientation behaviors, motor control techniques, and social be- haviors (pointing to a visual target, recognizing joint attention through face and eye ?nding, imitation of head nods, and regulating interaction through expressive feedback). We further outline a number of areas for future research that will be necessary to build a complete embodied sys- tem. (shrink)

Postcolonial science studies entails ostensibly contradictory critical and empirical commitments. Science studies scholars influenced by Bruno Latour and Isabelle Stengers embrace forms of realist, radical empiricism, while postcolonial studies scholars influenced by Jacques Derrida trace the limits of the knowable. This essay takes their common use of the term cosmopolitics as an unexpected point of departure for reconciling Derrida’s program with Stengers’s and Latour’s. I read Derrida’s critique of hospitality and Stengers’s and Latour’s ontological politics as necessary complements for conceiving (...) a care-oriented subalternist cosmopolitics, a process of composing common worlds that remains attentive to the limits of representation. (shrink)

Suppose we consider knowledge to be valuable because of the role known propositions play in practical reasoning. This, I argue, does not provide a reason to think that knowledge is valuable in itself. Rather, it provides a reason to think that true belief is valuable from one standpoint, and that justified belief is valuable from another standpoint, and similarly for other epistemic concepts. The value of the concept of knowledge is that it provides an economical way of talking about many (...) epistemic concepts that are valuable in itself from one standpoint or another. In this way knowledge is like a Swiss Army Knife; a Swiss Army Knife is not useful as such on any occasion, but it provides an efficient way of carrying around different tools that are useful in themselves on different occasions. (shrink)

In Plato’s Symposium, the mysterious Apollodorus recounts to an unnamed comrade, and to us, Aristodemus’ story of just what happened at Agathon’s drinking party. Since Apollodorus did not attend the party, however, it is unclear what relevance he could have to our understanding of Socrates’ speech, or to the Alcibiadean “satyr and silenic drama” (222d) that follows. The strangeness of Apollodorus is accentuated by his recession into the background after only two Stephanus pages. What difference—if any—does Apollodorus make to the (...) Symposium? Does his inclusion call the dramatic and philosophical unity of the work into question? I argue that despite initial appearances, Plato has important philosophical reasons for including Apollodorus as a character. Far from being an odd appendage to an otherwise complete narrative, the figure of Apollodorus is useful for our understanding of Socrates’s conception of eros later in the work. (shrink)

On the one hand, Hume accepts the view -- which he attributes primarily to Stoicism -- that there exists a determinate best and happiest life for human beings, a way of life led by a figure whom Hume calls "the true philosopher." On the other hand, Hume accepts that view -- which he attributes to Scepticism -- that there exists a vast plurality of good and happy lives, each potentially equally choiceworthy. In this paper, I reconcile Hume's apparently conflicting commitments: (...) I argue that Hume's "Sceptical" pluralism about the character of the happiest life need not conflict with his "Stoic" advocacy of the supreme happiness of the true philosopher, given Hume's flexible understanding of how one might live as a true philosopher. (shrink)

In Nicomachean Ethics X.7–8, Aristotle defends a striking view about the good for human beings. According to Aristotle, the single happiest way of life is organized around philosophical contemplation. According to the narrowness worry, however, Aristotle's contemplative ideal is unduly Procrustean, restrictive, inflexible, and oblivious of human diversity. In this paper, I argue that Aristotle has resources for responding to the narrowness worry, and that his contemplative ideal can take due account of human diversity.

The impressive variation amongst biological individuals generates many complexities in addressing the simple-sounding question what is a biological individual? A distinction between evolutionary and physiological individuals is useful in thinking about biological individuals, as is attention to the kinds of groups, such as superorganisms and species, that have sometimes been thought of as biological individuals. More fully understanding the conceptual space that biological individuals occupy also involves considering a range of other concepts, such as life, reproduction, and agency. There has (...) been a focus in some recent discussions by both philosophers and biologists on how evolutionary individuals are created and regulated, as well as continuing work on the evolution of individuality. (shrink)

Conspiracy theories are a popular topic of conversation in everyday life but are often frowned upon in academic discussions. Looking at the recent spate of philosophical interest in conspiracy theories, The Philosophy of Conspiracy Theories looks at whether the assumption that belief in conspiracy theories is typically irrational is well founded.

This paper attempts to explain what a protest is by using the resources of speech-act theory. First, we distinguish the object, redress, and means of a protest. This provided a way to think of atomic acts of protest as having dual communicative aspects, viz., a negative evaluation of the object and a connected prescription of redress. Second, we use Austin’s notion of a felicity condition to further characterize the dual communicative aspects of protest. This allows us to distinguish protest from (...) some other speech acts which also involve a negative evaluation of some object and a connected prescription of redress. Finally, we turn to Kukla and Lance’s idea of a normative functionalist analysis of speech acts to advance the view that protests are a complex speech act constituted by dual input normative statuses and dual output normative statuses. (shrink)

Traditionally, Aristotle is held to believe that philosophical contemplation is valuable for its own sake, but ultimately useless. In this volume, Matthew D. Walker offers a fresh, systematic account of Aristotle's views on contemplation's place in the human good. The book situates Aristotle's views against the background of his wider philosophy, and examines the complete range of available textual evidence. On this basis, Walker argues that contemplation also benefits humans as perishable living organisms by actively guiding human life activity, (...) including human self-maintenance. Aristotle's views on contemplation's place in the human good thus cohere with his broader thinking about how living organisms live well. A novel exploration of Aristotle's views on theory and practice, this volume will interest scholars and students of both ancient Greek ethics and natural philosophy. It will also appeal to those working in other disciplines including classics, ethics, and political theory. (shrink)

This book addresses a range of relevant theoretical issues, including the possibility of an interpersonally comparable measure of well-being, or “utility” metric; the moral value of equality, and how that bears on the form of the social welfare function; social choice under uncertainty; and the possibility of integrating considerations of individual choice and responsibility into the social-welfare-function framework. This book also deals with issues of implementation, and explores how survey data and other sources of evidence might be used to calibrate (...) both a utility metric and a social welfare function, and whether distributive goals are ever best pursued through regulation rather than the tax system. In working through this range of theoretical and practical issues, the book draws from a wide variety of literatures, including philosophical scholarship on equality, responsibility, the nature of well-being, and personal identity over time; the social choice literature within economics; applied economic literatures concerning the measurement of inequality and poverty; legal and policy-analysis scholarship on cost-benefit analysis, environmental justice, and the choice between regulation and taxation; and the burgeoning field of “happiness studies”. (shrink)

This chapter offers a complete account of Aristotle’s underexplored treatment of the virtue of wittiness (eutrapelia) in Nicomachean Ethics IV.8. It addresses the following questions: (1) What, according to Aristotle, is this virtue and what is its structure? (2) How do Aristotle’s moral psychological views inform Aristotle’s account, and how might Aristotle’s discussions of other, more familiar virtues, enable us to understand wittiness better? In particular, what passions does the virtue of wittiness concern, and how might the virtue (and its (...) attendant vices) be related to the virtue of temperance (and its attendant vices)? (3) How does wittiness, as an ethical virtue, benefit its possessor? (4) How can Aristotle resolve some key tensions that his introducing a virtue of wittiness apparently generates for his ethics? In addition to exploring these questions, this chapter challenges some commonly accepted accounts of Aristotle’s views on the nature of the laughable. (shrink)

Using the example of recent attempts to engineer the concept of conspiracy theory, I argue that philosophers should be far more circumspect in their approach to conceptual engineering than we have been – in particular, that we should pay much closer attention to the history behind and context that surrounds our target concept in order to determine whether it is a site of what I have elsewhere called ‘conceptual domination’. If it is, we may well have good reason to avoid (...) engineering. In their recent ‘What is a Conspiracy Theory?’, M. Giulia Napolitano and Kevin Reuter argue that the disagreement between generalists and particularists in the literature on conspiracy theories is best characterized as a set of dueling conceptual engineering projects. While I agree with their turn to this metaphilosophical literature, I give a very different account of its applicability. Particularists, on my account, are better read as aiming to diagnose the ways in which many discussions of the concept of conspiracy theories are a form of conceptual domination, where this broader context should then prompt us to abandon or block any concept of conspiracy theory that treats its referents as inherently defective. Broader metaphilosophical lessons are drawn. (shrink)

By scholarly consensus, extant fragments from, and testimony about, Aristotle’s lost dialogue Eudemus provide strong evidence for thinking that Aristotle at some point defended the human soul’s unqualified immortality (either in whole or in part). I reject this consensus and develop an alternative, deflationary, speculative, but textually supported proposal to explain why Aristotle might have written a dialogue featuring arguments for the soul’s unqualified immortality. Instead of defending unqualified immortality as a doctrine, I argue, the Eudemus was most likely offering (...) a dramatically engaging propaedeutic to the sort of philosophical inquiry about the soul and its prospects that Aristotle pursues more scientifically in the De anima and Parva naturalia. (shrink)

Matthew Arnold was born at Laleham-on-Thames on 24 December 1822 as the eldest son of Dr Thomas Arnold and his wife Mary. He was educated at Winchester College, his father's old school; Rugby, where his father was headmaster; and Oxford. In 1851 he was appointed Inspector of Schools, pursuing this taxing career to support his wife and family until his retirement in 1886. He published his first volume of verse, The Strayed Reveller, and other Poems, in 1849 followed by (...) Empedocles on Etna, and other Poems (1852) and five further collections which appeared, with a diminishing number of new poems in each, between 1853 and 1867, after which his creative gift appeared to dwindle still further and he published little poetry. His career as a writer of prose began to take over after his election to the Professorship of Poetry at Oxford in 1857. Stimulated by preparing his lectures, many of the earliest published in 1865 as Essays in Criticism (First Series), he turned increasingly to the vigorous and widely ranging polemical commentaries on culture, religion, and society which were to make him known at home and abroad as the foremost critic of his day. He died suddenly of heart failure on 15 April 1888 while awaiting at Liverpool the arrival of his married daughter from America. (shrink)

Surprisingly little has been written about hedged assertion. Linguists often focus on semantic or syntactic theorizing about, for example, grammatical evidentials or epistemic modals, but pay far less attention to what hedging does at the level of action. By contrast, philosophers have focused extensively on normative issues regarding what epistemic position is required for proper assertion, yet they have almost exclusively considered unqualified declaratives. This essay considers the linguistic and normative issues side-by-side. We aim to bring some order and clarity (...) to thinking about hedging, so as to illuminate aspects of interest to both linguists and philosophers. In particular, we consider three broad questions. 1) The structural question: when one hedges, what is the speaker’s commitment weakened from? 2) The functional question: what is the best way to understand how a hedge weakens? And 3) the taxonomic question: are hedged assertions genuine assertions, another speech act, or what? (shrink)

A response to Lee Basham's 'The Need for Accountable Witnesses: A Reply to Dentith'.