Part I of this paper outlined the three standard approaches to the teaching of critical thinking: the normative (or philosophical), cognitive psychology, and educational taxonomy approaches. The paper contrasted these with the visualisation approach; in particular, computer-aided argument mapping (CAAM), and presented a detailed account of the CAAM methodology and a theoretical justification for its use. This part develops further support for CAAM. A case is made that CAAM improves critical thinking because it minimises the cognitive burden of prose and (...) the demands that arguments in prose typically place on memory. CAAM also has greater usability, complements the imperfect human cognitive system, and adopts a logic of semi-formality which is both natural and intuitive. The paper claims that CAAM is an important advance given that traditional stand-alone critical thinking courses do not teach critical thinking as well as they as they are assumed to do. It is also important given that tertiary education fails to deliver improvements in critical thinking gains for too many students. The paper outlines results from a number of empirical studies that demonstrate that CAAM yields robust gains in critical thinking as measured by independent tests. Students themselves also believe CAAM to be beneficial as noted in coded responses to surveys. I conclude the paper by comparing the traditional approaches to the teaching of critical thinking to the visualisation approach. I argue that CAAM should taken seriously in the context of contemporary educational practices. (shrink)

This paper outlines new work in cross-cultural psychology largely drawn from Nisbett, Choi, and Smith (Cognition, 65, 15–32, 1997); Nisbett, Peng, Choi, & Norenzayan, Psychological Review, 108(2), 291–310, 2001; Nisbett, The Geography of Thought: How Asians and Westerners Think Differently...and Why. New York: Free Press 2003), Ji, Zhang and Nisbett (Journal of Personality and Social Psychology, 87(1), 57–65, 2004), Norenzayan (2000) and Peng (Naive Dialecticism and its Effects on Reasoning and Judgement about Contradiction. University of Michigan, Ann Arbor, Michigan 1997) (...) Peng and Nisbett (Cross-Cultural Similarities and Differences in the Understanding of Physical Causality. Paper presented at the Science and Culture: Proceedings of the Seventh Interdisciplinary Conference on Science and Culture, Frankfort, K. Y. 1996), and Peng, Ames, & Knowles (Culture and Human Inference: Perspectives from three traditions. In: D. Matsumoto (Ed.), Handbook of Cross-Cultural Psychology (pp. 1–2). Oxford: Oxford University Press 2000). The paper argues that the findings on cultural influences on inference-making have implications for teaching and education generally, and specifically for the debate on conceptions and misconceptions of Asian students studying in western tertiary institutions around the world. The position defended is that, while there seems to be compelling empirical evidence for intercultural differences in thought patterns, these patterns are, for the most part, insignificant in everyday exchanges, though language and culture might subtlety modulate our inference-making at the margins. Linguistic determinism however is not defended. Nonetheless, the evidence provides food for thought, and it needs to inform the recent debates about international students studying overseas. (shrink)

What is critical thinking, especially in the context of higher education? How have research and scholarship on the matter developed over recent past decades? What is the current state of the art here? How might the potential of critical thinking be enhanced? What kinds of teaching are necessary in order to realize that potential? And just why is this topic important now? These are the key questions motivating this volume. We hesitate to use terms such as “comprehensive” or “complete” or (...) “definitive,” but we believe that, taken in the round, the chapters in this volume together offer a fair insight into the contemporary understandings of higher education worldwide. We also believe that this volume is much needed, and we shall try to justify that claim in this introduction. (shrink)

This paper argues that general skills and the varieties of subject-specific discourse are both important for teaching, learning and practising critical thinking. The former is important because it outlines the principles of good reasoning simpliciter (what constitutes sound reasoning patterns, invalid inferences, and so on). The latter is important because it outlines how the general principles are used and deployed in the service of ‘academic tribes’. Because critical thinking skills are—in part, at least—general skills, they can be applied to all (...) disciplines and subject-matter indiscriminately. General skills can help us assess reasoning independently of the vagaries of the linguistic discourse we express arguments in. The paper looks at the debate between the ‘specifists’—those who stress the importance of critical thinking understood as a subject-specific discourse—and the ‘generalists’—those that stress the importance of critical thinking understood independently of disciplinary context. The paper suggests that the ‘debate’ between the specifists and the generalists amounts to a fallacy of the false alternative, and presents a combinatory-‘infusion’ approach to critical thinking. (shrink)

Computer-Assisted Argument Mapping (CAAM) is a new way of understanding arguments. While still embryonic in its development and application, CAAM is being used increasingly as a training and development tool in the professions and government. Inroads are also being made in its application within education. CAAM claims to be helpful in an educational context, as a tool for students in responding to assessment tasks. However, to date there is little evidence from students that this is the case. This paper outlines (...) the use of CAAM as an educational tool within an Economics and Commerce Faculty in a major Australian research university. Evaluation results are provided from students from a CAAM pilot within an upper-level Economics subject. Results indicate promising support for the use of CAAM and its potential for transferability within the disciplines. If shown to be valuable with further studies, CAAM could be included in capstone subjects, allowing computer technology to be utilised in the service of generic skill development. (shrink)

This paper argues that Moore's specifist defence of critical thinking as ‘diverse modes of thought in the disciplines’, which appeared in Higher Education Research & Development, 30(3), 2011, is flawed as it entrenches relativist attitudes toward the important skill of critical thinking. The paper outlines the critical thinking debate, distinguishes between ‘top-down’, ‘bottom-up’ and ‘relativist’ approaches and locates Moore's account therein. It uses examples from one discipline-specific area, namely, the discipline of Literature, to show that the generalist approach to critical (...) thinking does not ‘leave something out’ and outlines why teaching ‘generic’ critical thinking skills is central to tertiary education, teaching and learning, and employment opportunities for students. The paper also defends the assessment of critical thinking skills. (shrink)

In recent years, academics and educators have begun to use software mapping tools for a number of education-related purposes. Typically, the tools are used to help impart critical and analytical skills to students, to enable students to see relationships between concepts, and also as a method of assessment. The common feature of all these tools is the use of diagrammatic relationships of various kinds in preference to written or verbal descriptions. Pictures and structured diagrams are thought to be more comprehensible (...) than just words, and a clearer way to illustrate understanding of complex topics. Variants of these tools are available under different names: “concept mapping”, “mind mapping” and “argument mapping”. Sometimes these terms are used synonymously. However, as this paper will demonstrate, there are clear differences in each of these mapping tools. This paper offers an outline of the various types of tool available and their advantages and disadvantages. It argues that the choice of mapping tool largely depends on the purpose or aim for which the tool is used and that the tools may well be converging to offer educators as yet unrealised and potentially complementary functions. (shrink)

Argument mapping is a way of diagramming the logical structure of an argument to explicitly and concisely represent reasoning. The use of argument mapping in critical thinking instruction has increased dramatically in recent decades. This paper overviews the innovation and provides a procedural approach for new teaches wanting to use argument mapping in the classroom. A brief history of argument mapping is provided at the end of this paper.

“Critical thinking in higher education” is a phrase that means many things to many people. It is a broad church. Does it mean a propensity for finding fault? Does it refer to an analytical method? Does it mean an ethical attitude or a disposition? Does it mean all of the above? Educating to develop critical intellectuals and the Marxist concept of critical consciousness are very different from the logician’s toolkit of finding fallacies in passages of text, or the practice of (...) identifying and distinguishing valid from invalid syllogisms. Critical thinking in higher education can also encompass debates about critical pedagogy, i.e., political critiques of the role and function of education in society, critical feminist approaches to curriculum, issues related to what has become known as critical citizenship, or any other education-related topic that uses the appellation “critical”. Equally, it can, and usually does, refer to the importance and centrality of developing general skills in reasoning—skills that we hope all graduates possess. Yet, despite more than four decades of dedicated scholarly work “critical thinking” remains as elusive as ever. As a concept, it is, as Raymond Williams has noted, a ‘most difficult one’ (Williams, 1976, p. 74). (shrink)

The articles included in this issue represent some of the most recent thinking in the area of critical thinking in higher education. While the emphasis is on work being done in the Australasian region, there are also papers from the USA and UK that demonstrate the international interest in advancing research in the area. -/- ‘Critical thinking’ in the guise of the study of logic and rhetoric has, of course, been around since the days of the ancient Greeks and the (...) early beginnings of universities. In a narrower sense, critical thinking has been central to higher education as a desirable attribute of graduates since at least the beginning of the twentieth century. The work of John Dewey, and others, emphasised the importance of ‘good habits of thinking’ as early as 1916. In 1945, the Harvard Committee placed emphasis on the importance of ‘thinking effectively’ as one of three desirable educational abilities in their General education in a free society. This was later endorsed in 1961 by the US-based Educational Policies Commission: ‘The purpose which runs through and strengthens all other educational purposes … is the development of the ability to think’ (Kennedy, Fisher, & Ennis, 1991, pp. 11–12). -/- In recent times, universities have made a point of emphasising the importance of critical thinking as a ‘generic skill’ that is central to most, if not all, subjects. There is not a university today (in Australia at least) that does not proudly proclaim that their graduates will – as a result of a degree program in their institution – learn to think critically. Further, there is rarely a subject taught that does not offer the opportunity to acquire skills in critical thinking. However, where is the evidence that we teach critical thinking in higher education? Disturbingly, despite our best intentions, it appears we may be teaching very little of it. (shrink)

This paper looks at the need for a better understanding of the impediments to critical thinking in relation to graduate student work. The paper argues that a distinction is needed between two vectors that influence student writing: (1) the word-level–sentence-level vector; and (2) the grammar–inferencing vector. It is suggested that much of the work being done to assist students is only done on the first vector. This paper suggests a combination of explicit use of deductive syllogistic inferences and computer-aided argument (...) mapping is needed. A methodology is suggested for tackling assignments that require students to ‘make an argument’. It is argued that what lecturers understand tacitly, now needs to be made a focus of deliberate educational practices. (shrink)

This study investigates all available literature related to critical thinking in business education in a survey of publications in the field produced from 1990-2019. It conducts a thematic analysis of 787 articles found in Web of Science and Google Scholar, including a specific focus on 55 highly-cited articles. The aim is to investigate the importance of critical thinking in business education, how it is conceptualised in business education research, the business contexts in which critical thinking is situated, and the key (...) and more marginal themes related to critical thinking outlined in the business and business education literature. The paper outlines six key areas and topics associated with those areas. It suggests future directions for further scholarly work in the area of critical thinking in business education. (shrink)

This paper explores early Australasian philosophy in some detail. Two approaches have dominated Western philosophy in Australia: idealism and materialism. Idealism was prevalent between the 1880s and the 1930s, but dissipated thereafter. Idealism in Australia often reflected Kantian themes, but it also reflected the revival of interest in Hegel through the work of ‘absolute idealists’ such as T. H. Green, F. H. Bradley, and Henry Jones. A number of the early New Zealand philosophers were also educated in the idealist tradition (...) and were influential in their communities, but produced relatively little. In Australia, materialism gained prominence through the work of John Anderson, who arrived in Australia in 1927, and continues to be influential. John Anderson had been a student of Henry Jones, who might therefore be said to have influenced both main strands of Australian philosophical thought. (shrink)

In higher education, interdisciplinarity involves the design of subjects that offer the opportunity to experience ‘different ways of knowing’ from students’ core or preferred disciplines. Such an education is increasingly important in a global knowledge economy. Many universities have begun to introduce interdisciplinary studies or subjects to meet this perceived need. This chapter explores some of the issues inherent in moves towards interdisciplinary higher education. Definitional issues associated with the term ‘academic discipline’, as well as other terms, including ‘multidisciplinary’, ‘cross-disciplinary’, (...) ‘pluridisciplinarity’, ‘transdisciplinarity’ and ‘interdisciplinary’ are examined. A new nomenclature is introduced to assist in clarifying the subtle distinctions between the various positions. The chapter also outlines some of the pedagogical and epistemological considerations which are involved in any move from a conventional form of educational delivery to an interdisciplinary higher education, and recommends caution in any implementation of an interdisciplinary curriculum. (shrink)

In anticipation of the journal’s centenary in 2027 this paper provides a citation network analysis of all available citation and publication data of the Australasian Journal of Philosophy (1923–2017). A total of 2,353 academic articles containing 21,772 references were collated and analyzed. This includes 175 articles that contained author-submitted keywords, 415 publisher-tagged keywords and 519 articles that had abstracts. Results initially focused on finding the most published authors, most cited articles and most cited authors within the journal, followed by most (...) discussed topics and emerging patterns using keywords and abstracts. The analysis then proceeded to apply social network analysis using Kumu© – a visualization platform for mapping systems and relationships using large datasets. Analysis reveals topic clusters both unique to the journal, and inclusive of the journal’s history. Results from this analysis reaffirm the journal’s continuing focus on topics in traditional analytic philosophy such as morality, epistemology and knowledge, whilst also featuring topics associated with logic and paradox. This paper presents a new approach to analysing and understanding the historic and emerging topics of interest to the journal, and its readership. This has never previously been done for single philosophy journal. This is historically important given the journal’s forthcoming centenary. (shrink)

As individuals we often face complex issues about which we must weigh evidence and come to conclusions. Corporations also have to make decisions on the basis of strong and compelling arguments. Legal practitioners, compelled by arguments for or against a proposition and underpinned by the weight of evidence, are often required to make judgments that affect the lives of others. Medical doctors face similar decisions. Governments make purchasing decisions—for example, for expensive military equipment—or decisions in the areas of public or (...) foreign policy. These issues involve many arguments on all sides of difficult debates. These issues involve understanding the arguments of others and being able to make objections and provide rebuttals to objections. Students in universities deal with arguments all the time. A major purpose of a university education—regardless of subject matter—is to teach students how to read, understand, and respond to complex arguments. The ability to do this makes for highly employable, adaptable, and reflectively critical individuals. We often call the skill of marshaling arguments and assessing them “critical thinking.” All universities claim to instill the skill of critical thinking in their graduates and routinely note this in their advertising and promotional documents. This short paper outlines one way this skill can be taught. (shrink)

This paper is about the work of a long forgotten philosopher and his views which have surprising relevance to discussions in present-day philosophy of mind and cognitive science. I argue that, far from being a traditional idealist, Mitchell advanced a very subtle position best seen as marking a transition from idealist views and later materialist accounts, the latter popularly attributed to Australian philosophers in the second half of the 20th century.

An argument map visually represents the structure of an argument, outlining its informal logical connections and informing judgments as to its worthiness. Argument mapping can be augmented with dedicated software that aids the mapping process. Empirical evidence suggests that semester‐length subjects using argument mapping along with dedicated software can produce remarkable increases in students’ critical thinking abilities. Introducing such specialised subjects, however, is often practically and politically difficult. This study ascertains student perceptions of the use of argument mapping in two (...) large, regular, semester‐length classes in a Business and Economics Faculty at the University of Melbourne. Unlike the semester‐length expert‐led trials in prior research, in our study only one expert‐led session was conducted at the beginning of the semester and followed by class practice. Survey results conducted at the end of the semester, show that, with reservations, even this minimalist, ‘one‐shot inoculation’ of argument mapping is effective in terms of students’ perceptions of improvements in their critical thinking skills. (shrink)

This thesis is about experiential content: what it is; what kind of account can be given of it. I am concerned with identifying and attacking one main view - I call it the inferentialist proposal. This account is central to the philosophy of mind, epistemology and philosophy of science and perception. I claim, however, that it needs to be recast into something far more subtle and enriched, and I attempt to provide a better alternative in these pages. The inferentialist proposal (...) holds that experiential content is necessarily under¬pinned by sophisticated cognitive influences. My alternative, the continuum theory, holds that these influences are relevant to experience only at certain levels of organisation and that at other levels there are contents which such features do not capture at all. Central to my account is that there are degrees to which cognitive influences affect experiential content; indeed, for the most part, experience is an amalgam of both inferential and non-inferential features. I claim that the inferentialist proposal is fundamentally flawed and deserves replacement, and I argue that my alternative fills the hollow that remains. The thesis is divided into four sections. In Part I, Chapter 1, I introduce two traditionally rival views of experiential content. In Chapter 2, I develop my continuum alternative. Chapter 3 assesses the relationship between experience and language, while Chapter 4 explores the relationship between beliefs and experience. The overall argument is that it has been a mistake to understand experience simply in inferential or non-inferential terms. In Part II, I examine the structure of mental content. Chapter 5 is concerned with the kinds of experiences which escape the inferentialist analysis. Chapter 6 considers Kant’s metaphysic of experience counterpointed to Lorenz’s reading of his work in the light of evolutionary biology. Chapter 7 treats animal experience in relation to the continuum view I am developing, while Chapter 8 reviews Fodor’s contribution to perceptual psychology. It is argued that the view of experiential content being developed is both consistent with empirical data on informationally local perceptual sub-systems, but also accords well with evolutionary theory and a naturalist interpretation of Kant’s taxonomy. Part III deals with inferentialism in the philosophy of science. In Chapter 9, I assess the theory dependence of observation thesis as it is advanced by Paul Feyerabend. I bring out of his account a subtle confusion concerning the importance of inference in the context of scientific inquiry. Part IV deals with the issue of experience in the philosophy of mind. In Chapter 10, I look at Wilfred Sellars’s attack on sense data theories. Chapter 11 confronts Paul Churchland’s treatment of ‘folk psychology’ while Chapter 12 isolates the issue of experiential qualia and the position of property dualism. I offer a critical review of Thomas Nagel’s work in this chapter and claim that his position can be read in a way which is consistent with the continuum account I am developing. I conclude the thesis in the usual fashion with a summary of the central claims. (shrink)

In this paper I draw attention to a peculiar epistemic feature exhibited by certain deductively valid inferences. Certain deductively valid inferences are unable to enhance the reliability of one's belief that the conclusion is true—in a sense that will be fully explained. As I shall show, this feature is demonstrably present in certain philosophically significant inferences—such as GE Moore's notorious 'proof' of the existence of the external world. I suggest that this peculiar epistemic feature might be correlated with the much (...) discussed phenomenon that Crispin Wright and Martin Davies have called 'transmission failure'—the apparent failure, on the part of some deductively valid inferences to transmit one's justification for believing the premises. (shrink)

Collected and edited by Noah Levin -/- Table of Contents: -/- UNIT ONE: INTRODUCTION TO CONTEMPORARY ETHICS: TECHNOLOGY, AFFIRMATIVE ACTION, AND IMMIGRATION 1 The “Trolley Problem” and Self-Driving Cars: Your Car’s Moral Settings (Noah Levin) 2 What is Ethics and What Makes Something a Problem for Morality? (David Svolba) 3 Letter from the Birmingham City Jail (Martin Luther King, Jr) 4 A Defense of Affirmative Action (Noah Levin) 5 The Moral Issues of Immigration (B.M. Wooldridge) 6 The Ethics of (...) our Digital Selves (Noah Levin) -/- UNIT TWO: TORTURE, DEATH, AND THE “GREATER GOOD” 7 The Ethics of Torture (Martine Berenpas) 8 What Moral Obligations do we have (or not have) to Impoverished Peoples? (B.M. Wooldridge) 9 Euthanasia, or Mercy Killing (Nathan Nobis) 10 An Argument Against Capital Punishment (Noah Levin) 11 Common Arguments about Abortion (Nathan Nobis & Kristina Grob) 12 Better (Philosophical) Arguments about Abortion (Nathan Nobis & Kristina Grob) -/- UNIT THREE: PERSONS, AUTONOMY, THE ENVIRONMENT, AND RIGHTS 13 Animal Rights (Eduardo Salazar) 14 John Rawls and the “Veil of Ignorance” (Ben Davies) 15 Environmental Ethics: Climate Change (Jonathan Spelman) 16 Rape, Date Rape, and the “Affirmative Consent” Law in California (Noah Levin) 17 The Ethics of Pornography: Deliberating on a Modern Harm (Eduardo Salazar) 18 The Social Contract (Thomas Hobbes) -/- UNIT FOUR: HAPPINESS 19 Is Pleasure all that Matters? Thoughts on the “Experience Machine” (Prabhpal Singh) 20 Utilitarianism (J.S. Mill) 21 Utilitarianism: Pros and Cons (B.M. Wooldridge) 22 Existentialism, Genetic Engineering, and the Meaning of Life: The Fifths (Noah Levin) 23 The Solitude of the Self (Elizabeth Cady Stanton) 24 Game Theory, the Nash Equilibrium, and the Prisoner’s Dilemma (Douglas E. Hill) -/- UNIT FIVE: RELIGION, LAW, AND ABSOLUTE MORALITY 25 The Myth of Gyges and The Crito (Plato) 26 God, Morality, and Religion (Kristin Seemuth Whaley) 27 The Categorical Imperative (Immanuel Kant) 28 The Virtues (Aristotle) 29 Beyond Good and Evil (Friedrich Nietzsche) 30 Other Moral Theories: Subjectivism, Relativism, Emotivism, Intuitionism, etc. (Jan F. Jacko). (shrink)

In my “Reply to Davis” (Philo vol. 2, no. 1) I defended two theses: First, even for Christians the initial probability of the Resurrection is very low. Second, the historical evidence for the Resurrection is not strong enough to overcome this initial improbability. Consequently, I maintained that belief in the Resurrection is not rational even for Christians. In his latest reply, “The Rationality of Resurrection for Christians: A Rejoinder” (present issue), Stephen T. Davis emphasizes that he is only (...) defending the rationality of belief in the Resurrection for Christians, not for non-Christian supernaturalists. Presumably this point is emphasized by Davis because he supposes that I have at best shown that belief in the Resurrection is not rational for non-Christian supernaturalists. However, this is not so. In this reply I will defend the two theses stated above. (shrink)

In my 1991 paper, AAnti-Individualism and Privileged Access,@ I argued that externalism in the philosophy of mind is incompatible with the thesis that we have privileged , nonempirical access to the contents of our own thoughts.¹ One of the most interesting responses to my argument has been that of Martin Davies (1998, 2000, and Chapter _ above) and Crispin Wright (2000 and Chapter _ above), who describe several types of cases to show that warrant for a premise does not (...) always transmit to a known deductive consequence of that premise, and who contend that this fact under-mines my argument for incompatibilism. I will try to show here that the Davies/Wright point about transmission of warrant does not adversely affect my argument. (shrink)

The Neo-Moorean Deduction (I have a hand, so I am not a brain-in-a-vat) and the Zebra Deduction (the creature is a zebra, so isn’t a cleverly disguised mule) are notorious. Crispin Wright, Martin Davies, Fred Dretske, and Brian McLaughlin, among others, argue that these deductions are instances of transmission failure. That is, they argue that these deductions cannot transmit justification to their conclusions. I contend, however, that the notoriety of these deductions is undeserved. My strategy is to clarify, attack, (...) defend, and apply. I clarify what transmission and transmission failure really are, thereby exposing two questionable but quotidian assumptions. I attack existing views of transmission failure, especially those of Crispin Wright. I defend a permissive view of transmission failure, one which holds that deductions of a certain kind fail to transmit only because of premise circularity. Finally, I apply this account to the Neo-Moorean and Zebra Deductions and show that, given my permissive view, these deductions transmit in an intuitively acceptable way—at least if either a certain type of circularity is benign or a certain view of perceptual justification is false. (shrink)

The theorem of Royer and Case states that there exists a limit-computable function β_1:N→N which eventually dominates every computable function δ_1:N→N. We present an alternative proof of this theorem. K denotes both the knowledge predicate satisfied by every currently known theorem and the finite set of all currently known theorems. The set K is time-dependent and publicly available. Any theorem of any mathematician from past or present forever belongs to K. We prove: (1) there exists a limit-computable function f:N→N of (...) unknown computability which eventually dominates every function δ:N→N with a single-fold Diophantine representation. We present both constructive and non-constructive proof of (1). Statement (1) claims that there exists a function f:N→N such that (f is computable in the limit)∧(¬K(f is computable))∧(¬K(f is uncomputable))∧(f eventually dominates every function δ:N→N with a single-fold Diophantine representation). Since Martin Davis' conjecture on single-fold Diophantine representations disproves Statement (1), Statement (1) justifies the title of the article. (shrink)

Review of *New Essays on the A Priori*, an excellent collection edited by Paul Boghossian and Christopher Peacocke. Contributors include: Tyler Burge; Quassim Cassam; Philip Kitcher; Penelope Maddy; Hartry Field; Paul Horwich; Peter Railton; Stephen Yablo; Bob Hale; Crispin Wright; Frank Jackson; Stewart Shapiro; Michael Friedman; Martin Davies; Bill Brewer; and Thomas Nagel.

Yuri Matiyasevich's theorem states that the set of all Diophantine equations which have a solution in non-negative integers is not recursive. Craig Smoryński's theorem states that the set of all Diophantine equations which have at most finitely many solutions in non-negative integers is not recursively enumerable. Let R be a subring of Q with or without 1. By H_{10}(R), we denote the problem of whether there exists an algorithm which for any given Diophantine equation with integer coefficients, can decide whether (...) or not the equation has a solution in R. We prove that a positive solution to H_{10}(R) implies that the set of all Diophantine equations with a finite number of solutions in R is recursively enumerable. We show the converse implication for every infinite set R \subseteq Q such that there exist computable functions \tau_1,\tau_2:N \to Z which satisfy (\forall n \in N \tau_2(n) \neq 0) \wedge ({\frac{\tau_1(n)}{\tau_2(n)}: n \in N}=R). This implication for R=N guarantees that Smoryński's theorem follows from Matiyasevich's theorem. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have a rational solution is not recursive. Harvey Friedman conjectures that the set of all polynomials of several variables with integer coefficients that have only finitely many rational solutions is not recursively enumerable. These conjectures are equivalent by our results for R=Q. (shrink)

In this paper we explore the idea that Pentecostalism is best supported by conjoining it to a postmodern, narrative epistemology in which everything is a text requiring interpretation. On this view, truth doesn’t consist in a set of uninterpreted facts that make the claims of Christianity true; rather, as James K. A. Smith says, truth emerges when there is a “fit” or proportionality between the Christian story and one’s affective and emotional life. We argue that Pentecostals should reject this account (...) of truth, since it leads to either a self-refuting story-relativism or the equally problematic fallacy of story-ism: favoring one’s own story over others without legitimate reason. In either case, we contend, the gospel itself is placed at risk. (shrink)

In this paper, I defend the agent/patient distinction against critics who argue that causal interactions are symmetrical. Specifically, I argue that there is a widespread type of causal interaction between distinct entities, resulting in a type of ontological asymmetry that provides principled grounds for distinguishing agents from patients. The type of interaction where the asymmetry is found is when one of the entities undergoes a change in kind, structure, powers, or intrinsic properties as a result of the interaction while the (...) other does not. Interactions of this type are widespread in molecular biology and chemistry. I focus specifically on (i) the actions of enzymes on substrates and (ii) water molecules breaking the bonds of polarized molecules. Finally, I respond to objections by laying out and to a limited extent defending three commitments of my account: emergent entities and powers, realism about chemical kinds or structures, and the assumption of the agent/patient distinction in functional attributions in biology. (shrink)

Stephen Davies taught philosophy at the University of Auckland, Auckland, New Zealand. His research specialty is the philosophy of art. He is a former President of the American Society for Aesthetics. His books include Definitions of Art (Cornell UP, 1991), Musical Meaning and Expression (Cornell UP, 1994), Musical Works and Performances (Clarendon, 2001), Themes in the Philosophy of Music (OUP, 2003), Philosophical Perspectives on Art (OUP, 2007), Musical Understandings and Other Essays on the Philosophy of Music (OUP, 2011), The Artful (...) Species: Aesthetics, Art, and Evolution (OUP, 2012), The Philosophy of Art (Wiley-Blackwell, 2016 second ed.), and Adornment: What Self-decorations Tells Us about Who We Are, (Bloomsbury Academic, 2020). (shrink)

This paper defines the form of prior knowledge that is required for sound inferences by analogy and single-instance generalizations, in both logical and probabilistic reasoning. In the logical case, the first order determination rule defined in Davies (1985) is shown to solve both the justification and non-redundancy problems for analogical inference. The statistical analogue of determination that is put forward is termed 'uniformity'. Based on the semantics of determination and uniformity, a third notion of "relevance" is defined, both logically and (...) probabilistically. The statistical relevance of one function in determining another is put forward as a way of defining the value of information: The statistical relevance of a function F to a function G is the absolute value of the change in one's information about the value of G afforded by specifying the value of F. This theory provides normative justifications for conclusions projected by analogy from one case to another, and for generalization from an instance to a rule. The soundness of such conclusions, in either the logical or the probabilistic case, can be identified with the extent to which the corresponding criteria (determination and uniformity) actually hold for the features being related. (shrink)

Throughout the COVID-19 pandemic, shortages of scarce healthcare resources consistently presented significant moral and practical challenges. While the importance of vaccines as a key pharmaceutical intervention to stem pandemic scarcity was widely publicized, a sizable proportion of the population chose not to vaccinate. In response, some have defended the use of vaccination status as a criterion for the allocation of scarce medical resources. In this paper, we critically interpret this burgeoning literature, and describe a framework for thinking about vaccine-sensitive resource (...) allocation using the values of responsibility, reciprocity, and justice. Although our aim here is not to defend a single view of vaccine-sensitive resource allocation, we believe that attending critically with the diversity of arguments in favor (and against) vaccine-sensitivity reveals a number of questions that a vaccine-sensitive approach to allocation should answer in future pandemics. (shrink)

IntroductionAssociative theories of political obligation offer a fresh alternative to approaches such as social contract theory, fair play, and the natural duty of justice. Few suggestions in ethics are more intuitive than the idea that we have special obligations to our family and friends, just in virtue of our relationships with them, and it is reasonable that obligations to political society are also grounded through association.A basic question for associative theories is to explain how associations give rise to obligation, but (...) here there is a common error. Many associative theorists and their critics take this question to be equivalent to the question: what distinguishes associations that are morally acceptable from those that are not? The assumption is that associations which are morally acceptable are those that give rise to obligations. However, this assumption is wrong in two ways. Associations that have some unacceptable features may still give rise to obl .. (shrink)

In this paper I investigate whether there are any cases in which it is rational for a person to hold inconsistent beliefs and, if there are, just what implications this might have for the theory of epistemic justification. A number of issues will crop up along the way – including the relation between justification and rationality, the nature of defeat, the possibility of epistemic dilemmas, the importance of positive epistemic duties, and the distinction between transitional and terminal attitudes.

This book explores a question central to philosophy--namely, what does it take for a belief to be justified or rational? According to a widespread view, whether one has justification for believing a proposition is determined by how probable that proposition is, given one's evidence. In this book this view is rejected and replaced with another: in order for one to have justification for believing a proposition, one's evidence must normically support it--roughly, one's evidence must make the falsity of that proposition (...) abnormal in the sense of calling for special, independent explanation. This conception of justification bears upon a range of topics in epistemology and beyond. Ultimately, this way of looking at justification guides us to a new, unfamiliar picture of how we should respond to our evidence and manage our own fallibility. This picture is developed here. (shrink)

There are a number of debates that are relevant to questions concerning objectivity in science. One of the eldest, and still one of the most intensely fought, is the debate over epistemic relativism. —All forms of epistemic relativism commit themselves to the view that it is impossible to show in a neutral, non-question-begging, way that one “epistemic system”, that is, one interconnected set of epistemic standards, is epistemically superior to others. I shall call this view “No-metajustification”. No-metajustification is commonly taken (...) to deny the objectivity of standards. In this paper I shall discuss two currently popular attempts to attack “No-metajustification”. The first attempt attacks no-metajustification by challenging a particular strategy of arguing in its defence: this strategy involves the ancient Pyrrhonian “Problem of the Criterion”. The second attempt to refute No-metajustification targets its metaphysical underpinning: to wit, the claim that there are, or could be, several fundamentally different and irreconcilable epistemic systems. I shall call this assumption “Pluralism”. I shall address three questions with respect to these attempts to refute epistemic relativism by attacking no-metajustification: Can the epistemic relativist rely on the Problem of the Criterion in support of No-metajustification? Is a combination of Chisholmian “particularism” and epistemic naturalism an effective weapon against No-metajustification? And is Pluralism a defensible assumption? (shrink)

This paper applies Edward Craig’s and Bernard Williams’ ‘genealogical’ method to the debate between relativism and its opponents in epistemology and in the philosophy of language. We explain how the central function of knowledge attributions -- to ‘flag good informants’ -- explains the intuitions behind five different positions (two forms of relativism, absolutism, contextualism, and invariantism). We also investigate the question whether genealogy is neutral in the controversy over relativism. We conclude that it is not: genealogy is most naturally taken (...) to favour an anti-realism about epistemic norms. And anti-realism threatens absolutism. (shrink)

This article aims to bring some work in contemporary analytic metaphysics to discussions of the Real Presence of Christ in the Eucharist. I will show that some unusual claims of the Real Presence doctrine exactly parallel what would be happening in the world if objects were to time-travel in certain ways. Such time-travel would make ordinary objects multiply located, and in the relevantly analogous respects. If it is conceptually coherent that objects behave in this way, we have a model for (...) the behaviour of the Eucharist which shows the doctrine to be coherent, at least with respect to the issues discussed. (shrink)

Utilitarianism has an apparent pedigree when it comes to animal welfare. It supports the view that animal welfare matters just as much as human welfare. And many utilitarians support and oppose various practices in line with more mainstream concern over animal welfare, such as that we should not kill animals for food or other uses, and that we ought not to torture animals for fun. This relationship has come under tension from many directions. The aim of this article is to (...) add further considerations in support of that tension. I suggest three ways in which utilitarianism comes significantly apart from mainstream concerns with animal welfare. First, utilitarianism opposes animal cruelty only when it offers an inefficient ratio of pleasure to pain; while this may be true of eating animal products, it is not obviously true of other abuses. Second, utilitarianism faces a familiar problem of the inefficacy of individual decisions; I consider a common response to this worry, and offer further concerns. Finally, the common utilitarian argument against animal cruelty ignores various pleasures that humans may get from the superior status that a structure supporting exploitation confers. (shrink)

When one looks into the role of artificial languages in philosophy of language it seems appropriate to start with making a distinction between philosophy of language proper and formal semantics of natural language. Although the distinction between the two disciplines may not always be easy to make since there arguably exist substantial historical and systematic relationships between the two, it nevertheless pays to keep the two apart, at least initially, since the motivation commonly given for the use of artificial languages (...) in philosophy of language is often rather different from the one that drives the use of such languages in semantics. Of course, this difference in motivation should not blind us for the commonalities that exists between the two disciplines. Philosophy of language and formal semantics have a common history, and arguably also share some of their substance. Philosophy of language is by and large an outgrowth of work in the analytical tradition in philosophy in the first half of the twentieth century. Both ordinary language philosophy, with its emphasis on the description of actual language use, as well as the more logic-oriented and formally inclined school of logical positivism contributed to the definition of philosophy of language as a separate philosophical discipline, with its own set of problems and methods to solve them. Another major contributor to the establishment of philosophy of language as a distinct discipline has been modern linguistics, in particular generative grammar in the tradition of Chomsky that became the dominant paradigm in linguisticsin the fifties and sixties of the previous century. And as it happens, both the generative tradition of Chomsky and analytic philosophy in its formal and less formal guises have been important factors in the development of formal semantics as well. Thus, it should come as no surprise that the two have something in common. That the communalities go beyond a common ancestry, but are reflected in substance and methods as well, will be argued later on. However, be that as it may, it is still a good idea to keep philosophy of language and formal semantics separate, at least initially, since the role that is assigned to artificial languages and the ways in which these languages are employed in both does differ in a number of respects that are worth keeping in mind.. (shrink)

According to telling based views of testimony (TBVs), B has reason to believe that p when A tells B that p because A thereby takes public responsibility for B's subsequent belief that p. Andrew Peet presents a new argument against TBVs. He argues that insofar as A uses context-sensitive expressions to express p, A doesn't take public responsibility for B's belief that p. Since context-sensitivity is widespread, the kind of reason TBVs say we have to believe what we're told, is (...) not widespread. Peet doesn't identify any problem with his own argument though he does attempt to limit its sceptical potential by identifying special contexts in which TBVs stand a chance of success. A more general defence of TBVs can be provided by showing Peet's argument to be unsound. I argue that Peet's argument is unsound because it requires us to wrongly suppose that speakers do far less labour than their audiences in context-sensitive linguistic communication. I aim to show why—in the context of the epistemology of testimony and the philosophy of language—it's important to recognize the labour that speakers can do, and so can can be held responsible for not doing, in episodes of context-sensitive linguistic communication. (shrink)

Standard methods in experimental philosophy have sought to measure folk intuitions using experiments, but certain limitations are inherent in experimental methods. Accordingly, we have designed the Free-Will Intuitions Scale to empirically measure folk intuitions relevant to free-will debates using a different method. This method reveals what folk intuitions are like prior to participants' being put in forced-choice experiments. Our results suggest that a central debate in the experimental philosophy of free will—the “natural” compatibilism debate—is mistaken in assuming that folk intuitions (...) are exclusively either compatibilist or incompatibilist. They also identify a number of important new issues in the empirical study of free-will intuitions. (shrink)

There is something puzzling about statistical evidence. One place this manifests is in the law, where courts are reluctant to base affirmative verdicts on evidence that is purely statistical, in spite of the fact that it is perfectly capable of meeting the standards of proof enshrined in legal doctrine. After surveying some proposed explanations for this, I shall outline a new approach – one that makes use of a notion of normalcy that is distinct from the idea of statistical frequency. (...) The puzzle is not, however, merely a legal one. Our unwillingness to base beliefs on statistical evidence is by no means limited to the courtroom, and is at odds with almost every general principle that epistemologists have proposed as to how we ought to manage our beliefs. (shrink)

Our primary aim in this paper is to sketch a cognitive evolutionary approach for developing explanations of social change that is anchored on the psychological mechanisms underlying normative cognition and the transmission of social norms. We throw the relevant features of this approach into relief by comparing it with the self-fulfilling social expectations account developed by Bicchieri and colleagues. After describing both accounts, we argue that the two approaches are largely compatible, but that the cognitive evolutionary approach is well- suited (...) to encompass much of the social expectations view, whose focus on a narrow range of norms comes at the expense of the breadth the cognitive evolutionary approach can provide. (shrink)