Math prospective teachers must be able to think creatively and solve problems. The study looked into preservice teachers’ creative thinking and problem-solving abilities in statistics. The investigation was guided by a correlational design in a public university in the Philippines. Stratified random sampling was used to select the 103 study participants from two teacher education programs. Through google forms, data were collected using Torrance et al. (2008)’s tests of creative thinking and researcher-made statistics problem test. The findings revealed that preservice (...) teachers have commendable creative thinking, particularly fluency, flexibility, and elaboration skills. Still, they lack problem-solving skills in statistics, specifically with central tendency, dispersion, and position measures. The correlational analysis revealed no link between creative thinking and problem-solving. Still, creative thinking and problem-solving courses are recommended to help preservice teachers develop their fundamental skills as mathematics educators. (shrink)

A ‘lottery belief’ is a belief that a particular ticket has lost a large, fair lottery, based on nothing more than the odds against it winning. The lottery paradox brings out a tension between the idea that lottery beliefs are justified and the idea that that one can always justifiably believe the deductive consequences of things that one justifiably believes – what is sometimes called the principle of closure. Many philosophers have treated the lottery paradox as an argument against the (...) second idea – but I make a case here that it is the first idea that should be given up. As I shall show, there are a number of independent arguments for denying that lottery beliefs are justified. (shrink)

The essay constructs an ontological theory designed to capture the categories instantiated in those portions or levels of reality which are captured in our common sense conceptual scheme. It takes as its starting point an Aristotelian ontology of “substances” and “accidents”, which are treated via the instruments of mereology and topology. The theory recognizes not only individual parts of substances and accidents, including the internal and external boundaries of these, but also universal parts, such as the “humanity” which is an (...) essential part of both Tom and Dick, and also “individual relations”, such as Tom’s promise to Dick, or their current handshake. (shrink)

Deleuze argued that a fundamental mutation in the concept of time occurred in Kant. In antiquity, the concept of time was subordinated to the concept of movement: time was a ‘measure’ of movement. In Kant, this relation is inverted: time is no longer subordinated to movement but assumes an autonomy of its own: time becomes "the pure and empty form" of everything that moves and changes. What is essential in the theory of time is not the distinction between objective ‘clock (...) time’ (or physical time) and the subjective experience of ‘time consciousness,’ since both of them measure movements, whether the movement of extensive objects or intensive states. What is fundamental is rather the relation between time and movement, since time can only assume its own concept when it ceases to be subordinate to movement, whether that movement is objective or subjective. This article examines how Kant inverted the relation between time and movement, and how Deleuze’s own theory of time builds on Kant’s revolution and extends it further. (shrink)

My concern in this paper is with the claim that knowledge is a mental state – a claim that Williamson places front and centre in Knowledge and Its Limits. While I am not by any means convinced that the claim is false, I do think it carries certain costs that have not been widely appreciated. One source of resistance to this claim derives from internalism about the mental – the view, roughly speaking, that one’s mental states are determined by one’s (...) internal physical state. In order to know that something is the case it is not, in general, enough for one’s internal physical state to be a certain way – the wider world must also be a certain way. If we accept that knowledge is a mental state, we must give up internalism. One might think that this is no cost, since much recent work in the philosophy of mind has, in any case, converged on the view that internalism is false. This thought, though, is too quick. As I will argue here, the claim that knowledge is a mental state would take us to a view much further from internalism than anything philosophers of mind have converged upon. (shrink)

In this paper, I offer reasons for thinking that two prominent sceptical arguments in the literature – the underdetermination-based sceptical argument and the closure-based sceptical argument – are less philosophically interesting than is commonly supposed. The underdetermination-based argument begs the question against a non-sceptic and can be dismissed with little fanfare. The closure-based argument, though perhaps not question-begging per se, does rest upon contentious assumptions that a non-sceptic is under no pressure to accept.

As conceived by analytic philosophers ontology consists in the application of the methods of mathematical logic to the analysis of ontological discourse. As conceived by realist philosophers such as Meinong and the early Husserl, Reinach and Ingarden, it consists in the investigation of the forms of entities of various types. The suggestion is that formal methods be employed by phenomenological ontologists, and that phenomenological insights may contribute to the construction of adequate formal-ontological languages. The paper sketches an account of what (...) might be involved in this new discipline, an account which is illustrated in application to the formal-ontological problems raised by negative states of affairs. (shrink)

This tutorial is for beginners wanting to learn the basics of propositional logic; the simplest of the formal systems of logic. Leslie Allan introduces students to the nature of arguments, validity, formal proofs, logical operators and rules of inference. With many examples, Allan shows how these concepts are employed through the application of three different methods for proving the formal validity of arguments.

This entry provides an overview of the current state of the debate between epistemic permissivists and impermissivists. Three important choice points for the permissivist are identified, and implications are discussed for plausibility of the resulting versions of permissivism.

Leslie Allan demonstrates how human rights are unproblematic for utilitarian moral theory and how, upon consideration, utilitarianism turns out to be the best theory for justifying human rights. Using case studies of historical and contemporary human rights conventions and recent psychological research, he argues how our concept of human rights is founded on the satisfaction of fundamental human needs and the consequences for human happiness.

While Darwin is commonly supposed to have demonstrated the inapplicability of the Aristotelian ontology of species to biological science, recent developments, especially in the wake of the Human Genome Project, have given rise to a new golden age of classification in which ontological ideas -- as for example in the Gene Ontology, the Cell Ontology, the Protein Ontology, and so forth -- are once again playing an important role. In regard to species, on the other hand, matters are more complex. (...) We provide a brief overview of recent proposals concerning the ontology of species, dealing with species as sets, classes and as collections, the views of Ernst Meyr, and mereological views. (shrink)

Two prevalent assumptions in the philosophy of sport literature are that all sports are games and that all games are contests, meant to determine who is the better at the skills definitive of the sport. If these are correct, it would follow that all sports are contests and that a range of sporting activities, including nature sports, are not in fact sports at all. This paper first confronts the notion that sport and games must seek to resolve skill superiority through (...) consideration of sport activities that have no such aim. The reduction of sport to game is also shown to be untenable and due to misunderstanding the point of sport activities, specifically, why people engage in them. This leads to reconsideration of the dominance of an instrumental conception of sport and the pursuit of excellence as anthropomaximising efficiency. The Norwegian tradition of frilutsliv is explored as a counterpoint to both conventional and nature sport. (shrink)

Autobiography of Barry Smith; emphasizes the role of Dummett and Husserl, Austrian philosophy and economics, and the Munich-Göttingen-Kraków school of realist phenomenology.

This paper is an examination of the concept of recognition and its connection with identity and respect. This is related to the question of how women are or are not adequately recognised or respected for their achievements in sport and whether eliminating sex segregation in sport is a solution. This will require an analysis of the concept of excellence in sport, as well as the relationship between fairness and inclusion in an activity that is fundamentally about bodily movement. I argue (...) that attempts to address the problem of women’s recognition in sport need to do so in ways that neither eliminate sport as a fairness regulated system for developing individual excellence in bodily movement nor that prevent women’s achievement of sporting excellence, with the regard that belongs to them. Doing this requires us to decide whether sport is about champions or about individual excellence. (shrink)

Excellence in sport performance is normally taken to be a matter of superior performance of physical movements or quantitative outcomes of movements. This paper considers whether a wider conception can be afforded by certain kinds of nature based sport. The interplay between technical skill and aesthetic experience in nature based sports is explored, and the extent to which it contributes to a distinction between different sport-based approaches to natural environments. The potential for aesthetic appreciation of environmental engagement is found to (...) be strongly dependent on whether or not environmental engagement is exploited for the end of producing a quantifiable result or enhancing technical skill. It is also argued that an existential rather than spectatorial attitude to aesthetic experience is offered by specifically nature oriented sport. Aesthetic experience achieved in this way is therefore neither passive nor detached, but extends Berleant's concept of participatory environmental aesthetics and underpins both an alternate (wide) conception of excellence in sport activity and a richer experience of aesthetic engagement than more objectivised standpoints. (shrink)

Certain states in the Global North have responded to refugees seeking safety on their territories through harmful practices of border violence, detention, encampment and containment that serve to prevent and deter refugee arrivals. These practices are ostensibly justified through an appeal to a right to control borders. This paper therefore assesses whether these harmful practices can indeed be morally justified by a state’s right to control borders. It analyses whether Christopher Heath Wellman’s account of a state’s right to freedom of (...) association, which represents the most restrictive account of a state’s right to control borders available in the literature, can extend to justify current harmful practices against refugees. If not, then no available justification will be able to do so, and thus contemporary harmful practices used against refugees cannot be justified by a state’s right to control borders. (shrink)

This paper responds to Kevin Krein’s claim in that the particular value of nature sports over traditional ones is that they offer intensity of sport experience in dynamic interaction between an athlete and natural features. He denies that this intensity is derived from competitive conflict of individuals and denies that nature sport derives its value from internal conflict within the athlete who carries out the activity. This paper responds directly to Krein by analysing ‘intensity’ in sport in terms of the (...) relationship between attention and reflection and the interaction between self and environment. I reply directly to Krein’s rejection of self-competition as based on a mischaracterisation of internal struggle and argue that the weighing of incompatible desires does not involve a fragmented self. I argue that the unique intensity to which Krein refers is strongly comparable to the Kantian conception of the sublime and explore how sublime experience fits Krein’s account and outline some serious problems that such an ideal of experience poses for nature sport. (shrink)

In 1976, Jo Freeman wrote an article for Ms. Magazine, entitled ‘Trashing: The Dark Side of Sisterhood’. It provoked an outpouring of letters from women relating their own experiences of trashing during the course of the second wave feminist movement—more letters than Ms. had received about any previous article. Since then, the technology has improved but the climate among feminists has not; trashing is now conducted on social media platforms like Twitter and Facebook, in front of ever-larger audiences and with (...) the magnified opportunities for destruction that these new platforms bring with them. Women already experience disproportionate harassment on social media; many feel trashing by other feminists to be much harder to accept. It’s one thing for people to hate feminists; resistance from those for whom a social justice movement represents a threat is par for the course. But it’s something else for feminists to hate each other. These are people with shared goals and a common enemy. What are the psychological mechanisms underlying this fact of life for feminist activists? Various explanations might be offered, from internalised misogyny, through volatility caused by histories of oppression, through envy and competitiveness, through ideological purity policing. Which are correct? Is the hatred that motivates trashing within feminism the same in quality and quantity, or different, from the affective dynamics inside other social movements? How does tribalism between warring feminist factions contribute to these dynamics, and to what extent is trashing underwritten by laudable moral goals (such as anti-elitism and anti-hierarchy) even when it goes too far or misfires? Can a liberation movement be successful without ideological purity policing, or is there a tension between achieving social justice outcomes and facilitating a healthy amount of disagreement and constructive criticism within a group? In this paper I’ll focus on potential explanations of the phenomena of trashing, including tribalism, power grabs, and purity policing; and the moral commitments that might lead feminists to trash each other. (shrink)

We provide an overview of Searle's contributions to speech act theory and the ontology of social reality, focusing on his theory of constitutive rules. In early versions of this theory, Searle proposed that all such rules have the form 'X counts as Y in context C' formula – as for example when Barack Obama (X) counts as President of the United States (Y) in the context of US political affairs. Crucially, the X and the Y terms are here identical. A (...) problem arises for this theory for cases involving 'free-standing Y terms', as for example in the case of money in a computerized bank account. Here there is no physical X to which a status function might be attached. We conclude by arguing that Searle's response to this problem creates difficulties for his naturalistic framework. (shrink)

In a recent paper, Kevin Krein argues that the notion of self-competition is misplaced in adventure sports and of only limited application altogether, for two main reasons: (i) the need for a consistent and repeatable measure of performance; and (ii) the requirement of multiple competitors. Moreover, where an individual is engaged in a sport in which the primary feature with which they are engaged is a natural one, Krein argues that the more accurate description of their activity is not 'competition', (...) but an attempt at harmonious interaction. I raise a number of problems against both criteria and argue that traditional and adventure sports do both involve self-competition on at least two levels: bettering one's previous performance and resisting the desire to quit. I argue that self-reflexive competition is not so much with one's self (which is philosophically absurd), but within one's self, between conflicting motivations and desires. I explore what is involved in self-reflexive competition, particularly at a phenomenological, self-constituting level, and raise the question of whether it is appropriate for activity in wilder natural environments. (shrink)

As a non-cognitivist analysis of moral language, Charles Stevenson's sophisticated emotivism is widely regarded by moral philosophers as a substantial improvement over its historical antecedent, radical emotivism. None the less, it has come in for its share of criticism. In this essay, Leslie Allan responds to the key philosophical objections to Stevenson's thesis, arguing that the criticisms levelled against his meta-ethical theory rest largely on a too hasty reading of his works.

Subjectivists claim that the absence of a theological or metaphysical grounding to moral judgements renders them all as simply statements about our subjective wants and preferences. Leslie Allan argues that the subjectivists' case rests on a misunderstanding of the nature of moral objectivity. He presents the view that subjectivists mistakenly counterpoise the ideal of moral objectivity with the expression of individual preferences. Being objective in moral deliberation, Allan argues, should be regarded instead as the antithesis of parochial and biased (...) reasoning. This account of moral objectivity, he concludes, makes sense of a long-standing universalist tradition in moral philosophy. (shrink)

Previous discussions on the value of sport in remote locations have concentrated on 1) environmental and process concerns, with the rejection of competition and goal-directed or use oriented activity, or 2) the value of risk and dangerous sport for self-affirmation. It is argued that the value of risk in remote sport is in self-knowledge rather than self-affirmation and that risk in remote sport, while enhancing certain kinds of experience, is not necessary. The value of remote sport is in offering the (...) opportunity for experience that enhances the participants’ knowledge both of self and of the environment with which they interact. (shrink)

Philosophers from Plotinus to Paul Churchland have yielded to the temptation to embrace doctrines which contradict the core beliefs of common sense. Philosophical realists have on the other hand sought to counter this temptation and to vindicate those core beliefs. The remarks which follow are to be understood as a further twist of the wheel in this never-ending battle. They pertain to the core beliefs of common sense concerning the external reality that is given in everyday experience -the beliefs of (...) folk physics, as we might call them. Just as critics of Churchland et al. have argued that the folk-psychological ontology of beliefs, desires, etc. yields the best explanation we can have of the order of cognitive phenomena conceived from the perspective of first-person experience, so we shall argue that (1) the commonsensical ontology of folk physics yields the best explanation we can have of our externally directed cognitive experience and that (2) an ontology of mesoscopic things, events and processes must play a role, in particular, in our best scientific theory of human action. (shrink)

Increasingly, the high throughput technologies used by biomedical researchers are bringing about a situation in which large bodies of data are being described using controlled structured vocabularies—also known as ontologies—in order to support the integration and analysis of this data. Annotation of data by means of ontologies is already contributing in significant ways to the cumulation of scientific knowledge and, prospectively, to the applicability of cross-domain algorithmic reasoning in support of scientific advance. This very success, however, has led to a (...) proliferation of ontologies of varying scope and quality. We define one strategy for achieving quality assurance of ontologies—a plan of action already adopted by a large community of collaborating ontologists—which consists in subjecting ontologies to a process of peer review analogous to that which is applied to scientific journal articles. (shrink)

In this essay, I evaluate four central metaethical readings of Spinoza’s moral philosophy in the literature: unqualified anti-realism, qualified anti-realism, qualified realism, and unqualified realism. More specifically, I discuss the metaethical readings of Charles Jarrett (unqualified anti-realism), Matthew Kisner (qualified anti-realism), Jon Miller (qualified realism), and Andrew Youpa (unqualified realism), each of which captures core aspects of this debate. My conclusions are that (1) Spinoza is neither an unqualified anti-realist nor an unqualified realist and (2) Spinoza’s ethical framework represents a (...) qualified synthesis of realist (naturalistic) and anti-realist (affective) features. (shrink)

The concept of acting intentionally is an important nexus where ‘theory of mind’ and moral judgment meet. Preschool children’s judgments of intentional action show a valence-driven asymmetry. Children say that a foreseen but disavowed side-effect is brought about 'on purpose' when the side-effect itself is morally bad but not when it is morally good. This is the first demonstration in preschoolers that moral judgment influences judgments of ‘on-purpose’ (as opposed to purpose influencing moral judgment). Judgments of intentional action are usually (...) assumed to be purely factual. That these judgments are sometimes partly normative — even in preschoolers — challenges current understanding. Young children’s judgments regarding foreseen side-effects depend upon whether the children process the idea that the character does not care about the side-effect. As soon as preschoolers effectively process the ‘theory of mind’ concept, NOT CARE THAT P, children show the side-effect effect.idea.. (shrink)

We outline Brentano’s theory of boundaries, for instance between two neighboring subregions within a larger region of space. Does every such pair of regions contain points in common where they meet? Or is the boundary at which they meet somehow pointless? On Brentano’s view, two such subregions do not overlap; rather, along the line where they meet there are two sets of points which are not identical but rather spatially coincident. We outline Brentano’s theory of coincidence, and show how he (...) uses it to resolve a number of Zeno-like paradoxes. (shrink)

A meaningful life, we shall argue, is a life upon which a certain sort of valuable pattern has been imposed by the person in question - a pattern which involves in serious ways the person having an effect upon the world. Meaningfulness is thus a special kind of value which a human life can bear. Two interrelated difficulties face ths proposal. One concerns responsiblity: how are we to account for the fact that a life that satisfies the above criteria can (...) have more meaning than a life with the same positive outcomes but which lacks responsiblity on the part of the agent? The other turns on these outcomes themselves: how can the meaningfulness engendered by actions you perform now be affected by what those actions go on to produce in the future, perhaps even after your death? We provide a response to both of these difficulties. (shrink)

In perceptual experience we are directed towards objects in a way that establishes a real relation between a mental act and its target. In reading works of fiction we enjoy experiences which manifest certain internal similarities to such relational acts, but which lack objects. The substitution theory of art attempts to provide a reason why we seek out such experiences and the artifacts which they generate. Briefly, we seek out works of art because we enjoy the physiology and the phenomenology (...) of, for example, the experience of love or mountain climbing, and works of art serve as props for the promotion of substitutes for the corresponding genuine feelings. Art arose, or came to be separated out from other, related phenomena, through the discovery that the experience of substitute emotions can be pleasurable. (shrink)

The existence of evil, pain and suffering is considered by many philosophers to be the most vexed question concerning the existence of an omnipotent, omniscient and morally perfect deity. Why would a loving God permit wanton acts of cruelty and misery on the scale witnessed throughout human history? In this essay, Leslie Allan evaluates four common theistic responses to this problem, highlighting the benefits and challenges faced by each approach. He concludes with a critical examination of a theistic defence (...) designed to show that the problem of evil is not a problem at all. (shrink)

Stephan Witasek was a student and follow of Meinong, who applied Meinong's ideas on the ontology of the non-existent to the working out of a theory of aesthetic phenomena in his Grundzüge der allgemeinen Ästhetik of 1904. Witasek shows how our feelings undergo certain sorts of structural modifications when they are directed towards what does not exist. He draws a distinction between genuine mental phenomena and what he calls ‘phantasy-material’, asserting that ‘the job of the aesthetic object, whether it is (...) a work of art or a product of nature, is to excite and support the actualisation of phantasy-material in the experiencing subject’. (shrink)

This review focuses on the Ogdoas scholastica by Jacob Lorhard, published in 1606. The importance of this document turns on the fact that it contains what is almost certainly the first published occurrence of the term “ontology.” The body of the work consists in a series of diagrams called “diagraphs.” Relevant features of this compendium of diagraphs are: 1. that it does not in fact contain the word “ontology,” and 2. that Lorhard himself was not responsible for its content.

In this address, Leslie Allan shares his early experiences and how they shape his humanist outlook today. He then outlines what he considers to be the three core principles underlying the humanist world view and illustrates their application with historical and contemporary examples. He concludes by drawing upon each of these principles to tease out what it means to live a good life; a life of meaning and purpose.

To what in reality do the logically simple sentences with empirical content correspond? Two extreme positions can be distinguished in this regard: 'Great Fact' theories, such as are defended by Davidson; and trope-theories, which see such sentences being made the simply by those events or states to which the relevant main verbs correspond. A position midway between these two extremes is defended, one according to which sentences of the given sort are made tme by what are called 'dependence structures', or (...) in other words by certain complex concrete portions of reality between the parts of which relations of dependence are defined. Principles governing such dependence-structures are laid down, principles of an ontologically motivated sort which serve as basis for a topological semantics conceived as an altemative to standard set-theoretic approaches to semantics of the Tarskian sort. These principles are then used to resolve certain puzzles generated by the (semantically motivated) theory of events put forward by Davidson. (shrink)

Does ?ought? imply ?can? for collectives' obligations? In this paper I want to establish two things. The first, what a collective obligation means for members of the collective. The second, how collective ability can be ascertained. I argue that there are four general kinds of obligation, which devolve from collectives to members in different ways, and I give an account of the distribution of obligation from collectives to members for each of these kinds. One implication of understanding collective obligation and (...) ability in the proposed way is that a group can be blameworthy for failing to realize its obligation even when no member of the group is blameworthy for failing to realize her obligation. (shrink)

This paper considers the importance of play as a conventional space for hypothetical self-expression and self-trial, its importance for determination of identity, and for development of self-possibilities. Expanding such possibilities in play enables challenging of socially entrenched assumptions concerning possible and appropriate identities. Discussion is extended to the contexts of gender performance (drag) and sport-play. It is argued that play proceeds on the basis of a fundamental pretence of reality that must be taken seriously by its participants; this discussion includes (...) considerations of serious and ironical play, “playing-at”, and travesty. (shrink)

This paper explores ludonarrative dissonance as it occurs in sport, primarily as the conflict experienced by participants between dominant narratives and self-generated interpretations of embodied experience. Taking self-narrative as a social rather than isolated production, the interaction with three basic categories of dominant narrative is explored: transformative, representing a spectrum from revelatory to distorting, bullying and colonising. These forms of dominant narrative prescribe interpretations of the player’s experience of play and of self that displace their own, with the end result (...) of dissonance and self-alienation. (shrink)

This paper, while neutral on questions about the minimality of truth, argues for the non-minimality of truth-aptness.

The author contends that classifying theories in the field of meta-ethics along a single dimension misses important nuances in each theory. With the increased sophistication and complexity of meta-ethical analyses in the modern era, the traditional cognitivist–non-cognitivist and realist–anti-realist categories no longer function adequately. The author categorizes the various meta-ethical theories along three dimensions. These dimensions focus on the linguistic analysis offered by each theory, its metaphysical commitments and its degree of normative tolerance.

The author mounts a case against the libertarian and hard determinist's thesis that free will is impossible in a deterministic world. He charges incompatibilists with misconstruing ordinary 'free will' talk by overlaying common language with their own metaphysical presuppositions. Through a review of ordinary discourse and recent developments in jurisprudence and the sciences, he draws together the four key factors required for an act to be free. He then puts his 4C theory to work in giving a credible account of (...) how caused human agents 'could have done otherwise'. (shrink)

The ontological argument for the existence of God has enjoyed a recent renaissance among philosophers of religion. Alvin Plantinga's modal version is perhaps the most notable example. This essay critically examines Plantinga's rendition, uncovering both its strengths and weaknesses. The author concludes that while the argument is probably formally valid, it is ultimately unsound. Nonetheless, Plantinga's version has generated much interest and discussion. The author spends some time uncovering the reasons for the argument's powerful intuitive appeal. He concludes his essay (...) by appraising Pruss's recent defence of Plantinga's argument. (shrink)

This essay is a response to Luis M. Augusto’s intriguing paper on the rift between mainstream and formal ontology. I will show that there are in fact two questions at issue here: 1. concerning the links between mainstream and formal approaches within philosophy, and 2. concerning the application of philosophy (and especially philosophical ontology) in support of information-driven research for example in the life sciences.