In this chapter I hope to persuade you that defective contexts are more ubiquitous than we typically assume. In doing, so I will draw attention to a number of pressing social and theoretical issues which arise once we start to consider defective contexts. I will proceed by pointing to a number of ways in which defective contexts can emerge without self-correcting in the manner envisioned by Stalnaker. First I will consider situations in which some, but not all interlocutors recognise that (...) the context is defective. I will then consider cases of opaquely defective contexts, and the question of what it is for a context to be “close enough” to being non-defective. (shrink)

In this paper I will introduce a new compatibilist account of free action: indirect conscious control compatibilism, or just indirect compatibilism for short. On this account, actions are free either when they are caused by compatibilist‐friendly conscious psychological processes, or else by sub‐personal level processes influenced in particular ways by compatibilist‐friendly conscious psychological processes. This view is motivated by a problem faced by a certain family of compatibilist views, which I call conscious control views. These views hold that we act (...) freely when we act in a way that is caused by certain conscious psychological processes. One problem for such views is that current neuroscience suggests that most of our actions are not caused by such processes. Instead, many of the actions we typically suppose are free are caused by sub‐personal level processes and hence would count as not free according to contemporary conscious control views. I argue, contra these views, that many actions caused by these sub‐personal level processes are indirectly free. Further, most of the actions we ordinarily judge to be free are free in this indirect manner. (shrink)

There is an old and powerful argument for the claim that divine foreknowledge is incompatible with the freedom to do otherwise. A recent response to this argument, sometimes called the “dependence response,” centers around the claim that God’s relevant past beliefs depend on the relevant agent’s current or future behavior in a certain way. This paper offers a new argument for the dependence response, one that revolves around different cases of time travel. Somewhat serendipitously, the argument also paves the way (...) for a new reply to a compelling objection to the dependence response, the challenge from prepunishment. But perhaps not so serendipitously, the argument also renders the dependence response incompatible with certain views of providence. (shrink)

Sand drawings are introduced in relation to the fieldwork of British anthropologists John Layard and Bernard Deacon early in the twentieth century, and the status of sand drawings as mathematics is discussed in the light of Wittgenstein’s idea that “in mathematics process and result are equivalent”. Included are photographs of the illustrations in Layard’s own copy of Deacon’s “Geometrical Drawings from Malekula and other Islands of the New Hebrides” (1934). This is a brief companion to my article “Wittgenstein on string (...) figures as mathematics” (2022), published in the journal Philosophical Investigations. (shrink)

Autoinhibition is a design principle realized in many molecular mechanisms in biology. After explicating the notion of a design principle and showing that autoinhibition is such a principle, we focus on how researchers discovered instances of autoinhibition, using research establishing the autoinhibition of the molecular motors kinesin and dynein as our case study. Research on kinesin and dynein began in the fashion described in accounts of mechanistic explanation but, once the mechanisms had been discovered, researchers discovered that they exhibited a (...) second phenomenon, autoinhibition. The discovery of autoinhibition not only reverses the pattern in terms of which philosophers have understood mechanism discovery but runs counter to the one phenomenon-one mechanism principle assumed to relate mechanisms and the phenomena they explain. The ubiquity of autoinhibition as a design principle, therefore, necessitates a philosophical understanding of mechanisms that recognizes how they can participate in more than one phenomenon. Since mechanisms with this design are released from autoinhibition only when they are acted on by control mechanisms, we advance a revised account of mechanisms that accommodates attribution of multiple phenomena to the same mechanism and distinguishes them from other processes that control them. (shrink)

This introduction to the topical collection, Folk Psychology: Pluralistic Approaches reviews the origins and basic theoretical tenets of the framework of pluralistic folk psychology. It places special emphasis on pluralism about the variety folk psychological strategies that underlie behavioral prediction and explanation beyond belief-desire attribution, and on the diverse range of social goals that folk psychological reasoning supports beyond prediction and explanation. Pluralism is not presented as a single theory or model of social cognition, but rather as a big-tent research (...) program encompassing both revisionary and more traditionally inspired approaches to folk psychology. After reviewing the origins of pluralistic folk psychology, the papers in the current issue are introduced. These papers fall into three thematic clusters: Folk-psychological strategies beyond propositional attitude attribution ; Enculturation and regulative folk psychology ; and Defenses of pluralism. (shrink)

Is it possible to prepare oneself to become a Christian? For Kierkegaard, there is no straightforward answer to this question, especially since such a transition depends upon a divine activity that is outside the realm of human control. Despite the challenge that this question poses, Kierkegaard's writings do provide us with a way to respond, and this response will be the subject matter of this article. Following an analysis of his position, this article will conclude that, although Kierkegaard recognizes that (...) there are precedent ways of existing that are more conducive to becoming a Christian, it is not helpful to describe them as preparatory. (shrink)

We develop a theory of necessity operators within a version of higher-order logic that is neutral about how fine-grained reality is. The theory is axiomatized in terms of the primitive of *being a necessity*, and we show how the central notions in the philosophy of modality can be recovered from it. Various questions are formulated and settled within the framework, including questions about the ordering of necessities under strength, the existence of broadest necessities satisfying various logical conditions, and questions about (...) their logical behaviour. We also wield the framework to probe the conditions under which a logicist account of necessities is possible, in which the theory is completely reducible to logic. (shrink)

Metaphysicians often claim that some metaphysical theory should (or shouldn’t) be believed because it exhibits (or fails to exhibit) theoretical virtues such as simplicity. Metaphysicians also sometimes claim that the legitimacy of these sorts of appeals to theoretical virtues are vindicated by the similar appeals to theoretical virtues which scientists make in scientific theory choice. One objection to this methodological move is to claim that the metaphysician misdescribes the role that theoretical virtues play within science. In this paper I defend (...) the metaphysician’s use of theoretical virtues against this objection. (shrink)

In the debate over the existence of composite objects, it is sometimes suggested that perceptual evidence justifies belief in composite objects. But it is almost never suggested that we are perceptually justified in believing in composite objects on the basis of the fact that the phenomenology of our perceptual experiences enables us to discriminate between situations where there are composite objects and situations where there are merely simples arranged composite object-wise. But while the thought that the phenomenology of our perceptual (...) experiences cannot enable us to discriminate between situations where there are composite objects and situations where there are merely simples arranged composite object-wise is commonly taken for granted, it requires some defence, both in light of its importance in shaping the debate and in light of its recently coming under attack by a prominent philosopher of perception. In this paper, I offer such a defence. (shrink)

The key to the measurement problem is the entity at the heart of Everett's formulation, the state of the memory, defined as the record of observations. In humans, the integrated synthesis defines the perceptual reality, a projective, three-dimensional representation of the world. This 'world hologram' is the conscious point of view, the mind in Lockwood's interpretation, the 'phenomenal perspective'. As Everett demonstrates, the collapse dynamics operates only judged by the state of the memory; the physical observer remains in a superposed (...) state. An operational mind-body property dualism is defined. This field of information is multiply instantiated in the many worlds of the unitary wave function. As these are superposed and coincident, the net result is a single world hologram. The physical frame of reference on this view is the superposition of the class of instantiating worlds, a second-logical-type phenomenon. By definition determinate only where defined by observations, this is the physical ontology of Everett's relative state. Collapse on observation is inherent. The evidence is the retrodiction of the holographic universe. This is the cosmology of the relative state. As it is determinate solely where defined by the world hologram that delineates the outer boundary, entropy is defined solely by this surface. The quasi-classical world is the cosmology in the absolute state. The incompatible dynamics of quantum mechanics operate in these two different types of physical frames of reference. The linear dynamics is the time evolution of the quasi-classical worlds. On observation, judged by the state of the world hologram, the class of instantiating worlds is redefined, becoming the class of worlds in which the observed outcome occurred. Collapse effectively operates. The holographic universe of the mind updates. The dynamics operate at different levels of logical type. The measurement problem is a category error. (shrink)

The fallacy fallacy is either the misdiagnosis of fallacy or the supposition that the conclusion of a fallacy must be a falsehood. This paper explores the relevance of these and related errors of reasoning for the appraisal of arguments, especially within virtue theories of argumentation. In particular, the fallacy fallacy exemplifies the Owl of Minerva problem, whereby tools devised to understand a norm make possible new ways of violating the norm. Fallacies are such tools and so are vices. Hence a (...) similar problem arises with argumentative vices. Fortunately, both instances of the problem have a common remedy. (shrink)

Virtue theories have become influential in ethics and epistemology. This paper argues for a similar approach to argumentation. Several potential obstacles to virtue theories in general, and to this new application in particular, are considered and rejected. A first attempt is made at a survey of argumentational virtues, and finally it is argued that the dialectical nature of argumentation makes it particularly suited for virtue theoretic analysis.

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)

The problem of moral luck arises due to a particular tension in our thought. On the one hand, we seem readily inclined to endorse the principle that moral responsibility, that is, one’s praiseworthiness or blameworthiness, cannot be affected by luck, that is, by factors over which one lacks control. But, when we examine our actual practices, we find that our moral judgments are highly sensitive to luck. This resulting tension between principle and practice is the problem of moral luck, and (...) an attempt to solve this problem is an attempt to resolve this tension. The article first explains the traditional characterization of the problem and reviews three general strategies in responding to it. It is then argued that we should characterize the problem in a slightly broader way. This refocusing turns out to have significant methodological implications. (shrink)

Stipulation gives us a degree of control over meaning. By stipulating how I will use a term I am able to determine the meaning it will receive on future occasions of use. My stipulation will affect the truth conditional content of my future utterances. But the mechanisms of stipulation are mysterious. As Cappelen (2018) argues, meaning is typically determined in an inscrutable way by a myriad of external factors beyond our control. How does stipulation override these factors? And the powers (...) of stipulation are limited. Firstly, the power of stipulation is typically short-lived. Sec-ondly, some stipulations simply don’t get off the ground. What explains the limits of stipulation? I consider two related approaches to stipulation and argue that they are unable to capture stipulation’s metasemantic effects. I then provide an explanation of the metasemantic effects of stipulation: Stipulation determines meaning by determining the word use it is fitting to hold the speaker to. This account is able to capture the mechanisms and limits of stipulation, whilst also explaining why we should care about stip-ulative success. I close by briefly drawing out some lessons for conceptual engineering. -/- . (shrink)

This overview of the philosophy of certainty will distinguish two types of certainty, specify controversial theses about certainty from recent literature, and explain some of the arguments for and against those theses.

Until recently, discussion of virtues in the philosophy of mathematics has been fleeting and fragmentary at best. But in the last few years this has begun to change. As virtue theory has grown ever more influential, not just in ethics where virtues may seem most at home, but particularly in epistemology and the philosophy of science, some philosophers have sought to push virtues out into unexpected areas, including mathematics and its philosophy. But there are some mathematicians already there, ready to (...) meet them, who have explicitly invoked virtues in discussing what is necessary for a mathematician to succeed. In both ethics and epistemology, virtue theory tends to emphasize character virtues, the acquired excellences of people. But people are not the only sort of thing whose excellences may be identified as virtues. Theoretical virtues have attracted attention in the philosophy of science as components of an account of theory choice. Within the philosophy of mathematics, and mathematics itself, attention to virtues has emerged from a variety of disparate sources. Theoretical virtues have been put forward both to analyse the practice of proof and to justify axioms; intellectual virtues have found multiple applications in the epistemology of mathematics; and ethical virtues have been offered as a basis for understanding the social utility of mathematical practice. Indeed, some authors have advocated virtue epistemology as the correct epistemology for mathematics (and perhaps even as the basis for progress in the metaphysics of mathematics). This topical collection brings together several of the researchers who have begun to study mathematical practices from a virtue perspective with the intention of consolidating and encouraging this trend. (shrink)

A list of resources for virtue theories of argumentation. Last updated October 31st, 2023.

What should a virtue theory of argumentation say about fallacious reasoning? If good arguments are virtuous, then fallacies are vicious. Yet fallacies cannot just be identified with vices, since vices are dispositional properties of agents whereas fallacies are types of argument. Rather, if the normativity of good argumentation is explicable in terms of virtues, we should expect the wrongness of bad argumentation to be explicable in terms of vices. This approach is defended through analysis of several fallacies, with particular emphasis (...) on the ad misericordiam. (shrink)

is one of the world's oldest bibles written in Ge'ez and Amharic. It includes 81 books, and the broader cannon also adds 9 more books on top of that. Their language is often rendered as one of the eldest's written languages and a possible candidate for the original language spoken by Adam along with the hieroglyphs and pre-hieratic languages of ancient Egypt. Ethiopia is considered the heart of Africa by many and is a prominent center for Orthodoxy and Christianity. The (...) Holy See of Tekle Haymanot is considered representative of the kingship or restoration of the Solomonic dynasty. The love story of King Solomon and the Queen of Sheba holds high significance to them, as Sheba could be an ancient Ethiopian city. The Ethiopian Tewahedo Bible is difficult to find an authentic copy of online (especially when not written in Amharic) due to copies including the non-canonical version of Enoch over its canonical version or heterodox Rastafarian copies that are heretical to the Ethiopian Orthodox Church. There have been some efforts in modern scholarship and pop culture to promote the usage of the Ethiopian Tewahedo Bible or bibles like the Monastic Coptic Bible (which include the Septuagint or Canonical Greek to Coptic translations). These efforts may include advocating for their usage(s) over the protestant KJV bible. The KJV may have been favored due the Gutenberg Press and the Gutenberg Bible leading to the KJV bible winning in popularity. Outside of the political ramifications, accessibility or largely scaled printing was a race in which these ancient translations didn't win for mass adoption. (shrink)

I aim in this paper to provide defense of one way to look at what should be regulated in the market place. In particular, I discuss what should be tolerated and argue against corporate welfare. I begin by endorsing John Stuart Mill’s harm principle as a normative principle of toleration. I call strict commitment to the harm principle when considering the regulatory structure of markets market libertarianism and oppose that to promotionism, the view that endorses government interference to promote business (...) interests. I next discuss the widespread use of promotionist policies, arguing against them and for market libertarianism. I also consider problems for my view, recognizing that one of my responses may leave some thinking the paper is a reductio of the market libertarian view because of the sort of slow-growth state it endorses. Others will recognize it as a view promoted by some of the U.S. founding fathers and find it attractive in its own right. (shrink)

The task of this paper is to provide what is necessary for a conceptual analysis of toleration such that one would have a clear definition of this central liberal tenet. First, notions related to but different from toleration are discussed; this provides guidance by introducing the likely definitional conditions of toleration. Next, those conditions are explicated and defended. Putting the conditions together, we can say an agent tolerates when she intentionally and on principle refrains from interfering with an opposed other (...) (or their behavior, etc.), though she believes she has the power to interfere. This definition is neither normatively loaded nor sufficient for moral or political theory. Readers may also prefer a definition made with some subset of the conditions rather than all. (shrink)

Philosophical methodology is the central focus of pragmatism’s founding documents. The early works of Peirce, James, and Dewey examine methodological questions such as ‘how do we make philosophical ideas clear?’, ‘what is the best method for fixing belief?’ and ‘how do we know whether a philosophical question is answerable?’. Thus, many consider pragmatism inherently methodological – as a metaphilosophy, a view about how philosophy should or must be done (e.g. Talisse 2017). Any summary of pragmatist methods is therefore a summary (...) of pragmatism itself. Given such an impossibly broad remit, this chapter does only three things. First, it provides four broad claims common to pragmatist approaches to philosophical methodology, claims reflecting its underlying theory of inquiry. Second, it briefly examines three core pragmatist methods – for conceptual clarification, for fixing belief, and for settling or dissolving philosophical disputes. Third, it briefly describes differences between the Classical figures regarding each method. This is merely a brief sketch – the reader should consider all entries in this volume relevant to pragmatism qua philosophical method. (shrink)

Li Zehou’s work can be understood as an account of a Chinese modernity, a vision for Chinese society that seeks to integrate three distinct philosophical approaches. These are Chinese history and culture, which Li understands as largely Confucian; Marxism, which has exerted such influence on a modernizing China; and Western learning more generally, as expressed by figures such as Immanuel Kant and Sigmund Freud. Li also frequently expresses the hope that a Chinese modernity will be one in which the importance (...) of the individual is recognized, and rights and freedoms upheld (e.g., 2006, p. 182). But this stance raises an important question: how are individuality and freedom understood in Li’s philosophical system? In this paper, I want to examine what resources Li offers to help us conceptualize their place in a modernity with Chinese characteristics. Confucian culture is often regarded as authoritarian and hierarchical, less interested than more liberal traditions in an ideal such as freedom. So how does freedom relate to the Confucian root of Chinese culture, as construed by Li? In this paper I explore how Li Zehou’s study of Confucian aesthetics can deliver a novel conception of freedom, one grounded in Confucian thinking about personal cultivation, and aimed at the free creation of delight (樂). (shrink)

This paper offers a sketch of welfarist pluralism, a view that is intended to resolve a difficulty for non-derivative pluralists about normative reasons for belief. Welfarist pluralism is the view that all reasons for belief are rooted in wellbeing, and that wellbeing has as one of its components being in a positive epistemic state. The paper explores how this view can explain various pluralist intuitions and why it offers a plausible basis for combinatorial pluralists who believe that alethic and pragmatic (...) reasons for belief combine to determine what one ought to believe. The paper also considers the relationship between theoretical rationality and wellbeing, and provides a partial argument for the derivative normativity of at least some requirements of theoretical rationality. (shrink)

This is part 1 on a paper whose final variation of parts shall be titled,”The Universal Theory of Existence: The Sashu, Pharaohs, and the al-Mahdī”. The first part of this series sets the premise for a proposed ”Theory of Everything” that will be the foundation for encompassing many different topics. Since, the beginning of time, a singularity existed. This singularity is what we call an origin point of everything. Beyond, this origin point for time is different depending on position, being (...) outside of the singularity, or the idea that multiple universes exists with different time dilation, and likely different laws. Existence in essence is centered around the idea of what is prior to the origin point of time, and in theory, what is the space-time complexity together, in regards to how civilization come to be. From a physics standpoint, there are multiple theories around this. For starters, the author of this paper coined QSOPR Theorem, MDQBT, QSICT, and how this relates to Time/Multiverse Dilation and Origin Points. Quantum Similarity on a molecular, atomic, theoretical, and chemical level is one of these vast things humanity should be trying to explore. (shrink)

Virtue theories of argumentation (VTA) emphasize the roles arguers play in the conduct and evaluation of arguments, and lay particular stress on arguers’ acquired dispositions of character, that is, virtues and vices. The inspiration for VTA lies in virtue epistemology and virtue ethics, the latter being a modern revival of Aristotle’s ethics. Aristotle is also, of course, the father of Western logic and argumentation. This paper asks to what degree Aristotle may thereby be claimed as a forefather by VTA.

This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform (...) program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals. (shrink)

Andrews argues for a pluralistic folk psychology that employs different kinds of practices and different kinds of cognitive tools (including personality trait attribution, stereotype activation, inductive reasoning about past behavior, and ...

Douglas Walton’s multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.

To understand the details of LI Zehou’s work, it is helpful to first locate it within the social and historical contexts to which Li was responding. Specifically, his work can be understood as a contribution to the struggle to establish the intellectual foundations of a Chinese modernity. As China transitioned away from the long-lived dynastic system that had ended early in the twentieth century, there was intense debate in China about what forms of social and political order should take its (...) place. Marxism emerged as the governing ideology after the Communist revolution, but this did not settle the outstanding social questions. In the period of liberalization that followed Mao’s death, intellectuals like LI Zehou emerged and found a new role. Instead of being tasked with providing justifications for state policy and the ruling ideology, they were free, to some extent, to explore new ideas that could inform policy and popular consciousness. LI Zehou duly became one of the most active and widely read of Chinese thinkers during the 1980s and 1990s, offering a humanistic vision of Chinese society. What made LI Zehou’s contribution distinctive was the willingness to draw from all these disparate frameworks, in an attempt to synthesize them into a unified system of thought. (shrink)

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of mathematical reasoning closely resemble patterns of reasoning in nonmathematical domains. Hence the tools developed to understand informal reasoning, collectively known as argumentation theory, are also applicable to much mathematical argumentation. This chapter investigates some of the details of that application. Consideration is given to the many contrasting meanings (...) of the word “argument”; to some of the specific argumentation-theoretic tools that have been applied to mathematics, notably Toulmin layouts and argumentation schemes; to some of the different ways that argumentation is implicated in mathematical practices; and to the social aspects of mathematical argumentation. (shrink)

An examination of Hall and Ames’s claim that the classical Confucian tradition be understood as constituting an aesthetic order. Some have argued that this claim is simply false. However, this claim should be understood not in terms of its literal truth or falsity, but in terms of its usefulness and suggestiveness. It is a general description that can guide inquiry into early Chinese thought. In what follows, I locate Hall and Ames’s “aesthetic order” within a broader interpretive lineage that understands (...) the Chinese tradition as an aesthetic tradition. I show how conceptions of “aesthetic” evolve within that lineage, how Hall and Ames built upon earlier New Confucians, and how their work might be extended further. (shrink)

Some authors have begun to appeal directly to studies of argumentation in their analyses of mathematical practice. These include researchers from an impressively diverse range of disciplines: not only philosophy of mathematics and argumentation theory, but also psychology, education, and computer science. This introduction provides some background to their work.

Anonymous argumentation has recently been the focus of public controversy: flash points include the outing of pseudonymous bloggers by newspapers and the launch of an academic journal that expressly permits pseudonymous authorship. However, the controversy is not just a recent one—similar debates took place in the nineteenth century over the then common practice of anonymous journalism. Amongst the arguments advanced by advocates of anonymous argumentation in either era is the contention that it is essential if the widest range of voices (...) are to be heard; amongst the counterarguments of its critics, that it weakens the credibility of individual arguments and irresponsibly cheapens the standard of public discourse. This paper explores some implications of the controversy for the ethics of argumentation in general and virtue theories of argumentation in particular. (shrink)

In this essay I offer an alternative perspective on how to organize class material for courses in Chinese philosophy for predominately American students. Instead of selecting topics taken from common themes in Western discourses, I suggest a variety of organizational strategies based on themes from the Chinese texts themselves, such as tradition, ritual, family, and guanxi (關係), which are rooted in the Chinese tradition but flexible enough to organize a broad range of philosophical material.

Is a human more conscious than an octopus? In the science of consciousness, it’s oftentimes assumed that some creatures (or mental states) are more conscious than others. But in recent years, a number of philosophers have argued that the notion of degrees of consciousness is conceptually confused. This paper (1) argues that the most prominent objections to degrees of consciousness are unsustainable, (2) examines the semantics of ‘more conscious than’ expressions, (3) develops an analysis of what it is for a (...) degreed property to count as degrees of consciousness, and (4) applies the analysis to various theories of consciousness. I argue that whether consciousness comes in degrees ultimately depends on which theory of consciousness turns out to be correct. But I also argue that most theories of consciousness entail that consciousness comes in degrees. (shrink)

I want to say something about the sort of arguments that it is possible to lose, and whether losing arguments can be done well. I shall focus on losing philosophical arguments, and I will be talking about arguments in the sense of acts of arguing. This is the sort of act that one can perform on one’s own or with one other person in private. But in either of these cases it is difficult to win—or to lose. So I shall (...) concentrate on arguments with audiences. We may think of winning or losing such arguments in terms of whether the audience is convinced. Of course, this doesn’t necessarily have anything to do with who is in the right. That means that there are two sorts of loser: real losers, who lose the argument deservedly, because they are in the wrong, and mere losers, who lose the argument undeservedly, because they are in the right. Hence there must also be two sorts of winner: real winners, who win the argument deservedly, because they are in the right, and mere winners, who win the argument undeservedly, because they are in the wrong. An optimal outcome for arguments with losers would be if all the losers are real losers. (shrink)

This paper argues that new light may be shed on mathematical reasoning in its non-pathological forms by careful observation of its pathologies. The first section explores the application to mathematics of recent work on fallacy theory, specifically the concept of an ‘argumentation scheme’: a characteristic pattern under which many similar inferential steps may be subsumed. Fallacies may then be understood as argumentation schemes used inappropriately. The next section demonstrates how some specific mathematical fallacies may be characterized in terms of argumentation (...) schemes. The third section considers the phenomenon of correct answers which result from incorrect methods. This turns out to pose some deep questions concerning the nature of mathematical knowledge. In particular, it is argued that a satisfactory epistemology for mathematical practice must address the role of luck. (shrink)

Kant’s “primacy of the practical” doctrine says that we can form morally justified commitments regarding what exists, even in the absence of sufficient epistemic grounds. In this paper I critically examine three different varieties of Kant’s “moral proof” that can be found in the critical works. My claim is that the third variety—the “moral-psychological argument” based in the need to sustain moral hope and avoid demoralization—has some intriguing advantages over the other two. It starts with a premise that more clearly (...) coheres with Kant’s mature account of moral motivation, and it invokes plausible empirical-psychological theses to motivate a commitment to the full-blown classical deity—the result Kant clearly wanted. From the point of view of its structure, I think this third variety of moral argument also has the most by way of contemporary interest. (shrink)

This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...) a system can be more or less analog. We explain how our theory improves upon prior accounts of analog representation, provides plausible diagnoses for novel challenge cases, extends to hybrid systems that are partially analog and partially symbolic, and accounts for some of the advantages and disadvantages of representing analogically versus symbolically. (shrink)

Much work in MKM depends on the application of formal logic to mathematics. However, much mathematical knowledge is informal. Luckily, formal logic only represents one tradition in logic, specifically the modeling of inference in terms of logical form. Many inferences cannot be captured in this manner. The study of such inferences is still within the domain of logic, and is sometimes called informal logic. This paper explores some of the benefits informal logic may have for the management of informal mathematical (...) knowledge. (shrink)

The thesis contains my early work arguing against evidentialism for reasons for belief (chapter 1), my early argument that rationality is not normative (chapter 2), an argument that rationality is not responding reasons, at least understood in one way (chapter 2), a general discussion of how normative conflicts might (appear to) arise in many different ways (chapter 3), a discussion of how to weigh pragmatic and evidential reasons for belief (chapter 4), and a discussion of the general structure of normativity (...) and its ramifications for understanding putative normative conflicts (chapter 4). At a more general level, the thesis aims to explore how putative normative conflicts might arise and whether they are genuine conflicts or only apparent. It also offers a defence of the view that there are genuine state-given reasons for propositional attitudes, including pragmatic reasons for belief. (shrink)

Most elpistologists now agree that hope for a specific outcome involves more than just desire plus the presupposition that the outcome is possible. This paper argues that the additional element of hope is a disposition to focus on the desired outcome in a certain way. I first survey the debate about the nature of hope in the recent literature, offer objections to some important competing accounts, and describe and defend the view that hope involves a kind of focus or attention. (...) I then suggest that this account makes sense of the intuitive thought that there are moral and pragmatic norms on hope that go beyond the norms on desires and modal presuppositions. I conclude by considering some key questions. (shrink)

The virtues and vices of argument are now an established part of argumentation theory. They have helped direct attention to hitherto neglected aspects of how we argue. However, it remains controversial whether a virtue theory can contribute to some of the central questions of argumentation theory. Notably, Harvey Siegel disputes whether what he calls ‘arguments in the abstract propositional sense’ can be evaluated meaningfully within a virtue theory. This paper explores the prospects for grounding an account of argument evaluation in (...) arguers’ virtues and vices by examination of a corresponding debate in virtue ethics: Can an ethics of virtue guide our actions? It is thereby argued that an affirmative answer is possible: virtues suffice for argument evaluation. (shrink)

The published works of scientists often conceal the cognitive processes that led to their results. Scholars of mathematical practice must therefore seek out less obvious sources. This article analyzes a widely circulated mathematical joke, comprising a list of spurious proof types. An account is proposed in terms of argumentation schemes: stereotypical patterns of reasoning, which may be accompanied by critical questions itemizing possible lines of defeat. It is argued that humor is associated with risky forms of inference, which are essential (...) to creative mathematics. The components of the joke are explicated by argumentation schemes devised for application to topic-neutral reasoning. These in turn are classified under seven headings: retroduction, citation, intuition, meta-argument, closure, generalization, and definition. Finally, the wider significance of this account for the cognitive science of mathematics is discussed. (shrink)

This paper proposes that virtue theories of argumentation and theories of visual argumentation can be of mutual assistance. An argument that adoption of a virtue approach provides a basis for rejecting the normative independence of visual argumentation is presented and its premisses analysed. This entails an independently valuable clarification of the contrasting normative presuppositions of the various virtue theories of argumentation. A range of different kinds of visual argument are examined, and it is argued that they may all be successfully (...) evaluated within a virtue framework, without invoking any novel virtues. (shrink)

Future-bias is the preference, all else being equal, for positive states of affairs to be located in the future not the past, and for negative states of affairs to be located in the past not the future. Three explanations for future-bias have been posited: the temporal metaphysics explanation, the practical irrelevance explanation, and the three mechanisms explanation. Understanding what explains future-bias is important not only for better understanding the phenomenon itself, but also because many philosophers think that which explanation is (...) the correct one has implications for our evaluation of the normative status of future-bias. In this paper we focus on the connection between future-bias and the temporal value asymmetry. The latter refers to the fact that people tend to assign more value to a state of affairs when it is located in the future, as opposed to being equidistant in the past. All three candidate explanations offered for future-bias proceed by explaining the temporal value asymmetry, and then supposing that future-bias is simply a manifestation of that asymmetry. Recently, however, it has been argued that the conditions under which people display the temporal value asymmetry and future-bias are different, and that this is reason to doubt that the latter is a manifestation of the former. In this paper we empirically test one response to this argument against the manifestation thesis—the simulation response—according to which once we control for the degree to which people can simulate the object of their preference, we find that people display future-bias and the temporal value asymmetry in the same conditions. We find no evidence in favour of the simulation response. Moreover, our results support some previous research that suggests that the temporal value asymmetry is less robust than previously thought, and this in itself casts doubt on the idea that future bias is just a manifestation of this asymmetry. (shrink)

This work was written for the Midlands Conference of Critical Thought which took place on 5–6th April 2024 at Nottingham Trent University. It was presented for a session on productivity, process, and the value of making, organised by the Vienna Contemporary Art Space. The work provides an overview of two of the presenter’s essays, Content and Operation and Instinct and Intelligence, to show how the process of philosophy can be the subject matter of philosophical works.