Zermelo's Analysis of ‘General Proposition’

On Zermelo's view, any mathematical theory presupposes a non-empty domain, the elements of which enjoy equal status; furthermore, mathematical axioms must be chosen from among those propositions that reflect the equal status of domain elements. As for which propositions manage to do this, Zermelo's answer is, those that are ‘symmetric’, meaning ‘invariant under domain permutations’. We argue that symmetry constitutes Zermelo's conceptual analysis of ‘general proposition’. Further, although others are commonly associated with the extension of Klein's Erlanger Programme to logic, Zermelo's name has a place in that story.     

Russell’s Repsychologising of the Proposition

Bertrand Russell’s 1903 masterpiece The Principles of Mathematics places great emphasis on the need to separate propositions from psychological items such as thoughts. In 1919 (and until the end of his career) Russell explicitly retracts this view, however, and defines propositions as “psychological occurrences”. These psychological occurrences are held by Russell to be mental images. In this paper, I seek to explain this radical change of heart. I argue that Russell’s re-psychologising of the proposition in 1919 can only be understood against the background of his struggle with the problem of the unity of the proposition in earlier work. Once this is recognized, and the solution to the problem offered by the 1919 theory is appreciated, new light is also shed on Russell’s naturalism. I go on to compare Russell’s psychological “picture theory” with the vehemently anti-psychological picture theory of Wittgenstein’s Tractatus Logico-Philosophicus and suggest that, once the background of the dispute is brought into clearer focus, Russell’s position can be seen to have many advantages over its more celebrated rival.     

The mathematical form of measurement and the argument for Proposition I in Newton’s Principia

Newton characterizes the reasoning of Principia Mathematica as geometrical. He emulates classical geometry by displaying, in diagrams, the objects of his reasoning and comparisons between them. Examination of Newton??s unpublished texts (and the views of his mentor, Isaac Barrow) shows that Newton conceives geometry as the science of measurement. On this view, all measurement ultimately involves the literal juxtaposition??the putting-together in space??of the item to be measured with a measure, whose dimensions serve as the standard of reference, so that all quantity (which is what measurement makes known) is ultimately related to spatial extension. I use this conception of Newton??s project to explain the organization and proofs of the first theorems of mechanics to appear in the Principia (beginning in Sect. 2 of Book I). The placementof Kepler??s rule of areas as the first proposition, and the manner in which Newton proves it, appear natural on the supposition that Newton seeks a measure, in the sense of a moveable spatial quantity, of time. I argue that Newton proceeds in this way so that his reasoning can have the ostensive certainty of geometry.     

The Import of the Original Bradley’s Regress(es)

Much of the recent metaphysical literature on the problem of the relational unity of complexes leaves the impression that Bradley (or some Bradleyan argument) has uncovered a serious problem to be addressed. The problem is thought to be particularly challenging for trope theorists and realists about universals. In truth, there has been little clarity about the nature and import of the original Bradley’s regress arguments. In this paper, I offer a careful analysis and reconstruction of the arguments in Bradley’s Appearance and Reality (1893). The analysis reveals that no less than three regress arguments against relations can be found. I show that none of them are compelling. I argue that, as a result, it is a serious misstep for philosophers today to offer metaphysical theses based on the unchallenged assumption that Bradley has established his regress result. I further analyze the underpinnings of the Bradley problem as it is frequently cast in contemporary literature and show that they rely on certain confusions and biases, which once brought to light, make current Bradley-inspired arguments against relations unconvincing.     

Domesticated dogs’ (Canis familiaris) use of the solidity principle

Organisms must often make predictions about the trajectories of moving objects. However, often these objects become hidden. To later locate such objects, the organism must maintain a representation of the object in memory and generate an expectation about where it will later appear. We explored adult dogs’ knowledge and use of the solidity principle (that one solid object cannot pass through another solid object) by evaluating search behavior. Subjects watched as a treat rolled down an inclined tube into a box. The box either did or did not contain a solid wall dividing it in half. To find the treat, subjects had to modify their search behavior based on the presence or absence of the wall, which either did or did not block the treat’s trajectory. Dogs correctly searched the near location when the barrier was present and the far location when the barrier was absent. They displayed this behavior from the first trial, as well as performed correctly when trial types were intermingled. These results suggest that dogs direct their searches in accordance with the solidity principle.     

How (not) to think of the ‘dead-donor’ rule

Although much has been written on the dead-donor rule (DDR) in the last twenty-five years, scant attention has been paid to how it should be formulated, what its rationale is, and why it was accepted. The DDR can be formulated in terms of either a Don’t Kill rule or a Death Requirement, the former being historically rooted in absolutist ethics and the latter in a prudential policy aimed at securing trust in the transplant enterprise. I contend that the moral core of the rule is the Don’t Kill rule, not the Death Requirement. This, I show, is how the DDR was understood by the transplanters of the 1960s, who sought to conform their practices to their ethics—unlike today’s critics of the DDR, who rethink their ethics in a question-begging fashion to accommodate their practices. A better discussion of the ethics of killing is needed to move the debate forward.     

Characteristics of Confucian Rituals (Li)—A Critique of Fan Ruiping’s Interpretation

In this paper I argue that Fan Ruiping’s explication of the Confucian notion of li 禮 (ritual propriety) is problematic in several ways. First, his division of human activities into “social” and “natural” is less than illuminating, as human “natural” activities (such as hunting) are already inescapably social. Second, I question the appropriateness for him to characterize li in terms of “closed activities,” as some rituals are evidently open-ended. Third, he seems to have overemphasized the constitutive function of li and understated its regulative function. Fourth, contrary to Fan’s claim, Confucian li accomplishes “external goals” in human life as well as “internal goals.” Finally, Fan’s requirement for being a Confucian with respect to the observance of li is unrealistically high and makes it difficult for people to qualify as Confucian.     

Purposes of reasoning and (a new vindication of) Moore’s proof of an external world

A common view about Moore’s Proof of an External World is that the argument fails because anyone who had doubts about its conclusion could not use the argument to rationally overcome those doubts. I agree that Moore’s Proof is—in that sense—dialectically ineffective at convincing an opponent or a doubter, but I defend that the argument (even when individuated taking into consideration the purpose of Moore’s arguing and, consequently, the preferred addressee of the Proof) does not fail. The key to my defence is to conceive the Proof as addressed to subjects with a different epistemic condition. To sustain this view I formulate some hypothesis about the common general purpose of arguing and I defend that it can be fulfilled even when the addressee of an argument is not someone who disbelieves or doubts its conclusion.     

Sensory consciousness explained (better) in terms of ‘corporality’ and ‘alerting capacity’

How could neural processes be associated with phenomenal consciousness? We present a way to answer this question by taking the counterintuitive stance that the sensory feel of an experience is not a thing that happens to us, but a thing we do: a skill we exercise. By additionally noting that sensory systems possess two important, objectively measurable properties, corporality and alerting capacity, we are able to explain why sensory experience possesses a sensory feel, but thinking and other mental processes do not. We are additionally able to explain why different sensory feels differ in the way they do.     

Pursuit of Bodily Excellence: Paul Weiss’s Platonic (Religious) Imagination of Sports

Almost thirty years ago, Warren Fraleigh wrote that Paul Weiss’s intellectual contribution to the philosophic study of sport was like a tributary, converging with others to eventuate in numerous scholarly colloquia, a new academic society, new courses and curricula, articles and books. Paul Weiss contends in Sport: A Philosophic Inquiry that sport is a pursuit of bodily excellence. Weiss tells a story about bodily excellence; it is a bodily good that can be realized in the practice of sport. His metaphysic and teleology provide the content and context for his philosophy of sport. For him, sport bodies speak or give voice to a particular metaphysical tradition that I argue is problematic. Weiss’s metaphysic and teleology swallow and sublate sportive bodies and the concomitant goods intrinsic to embodiment and the practice of sports. The net effect is dematerialization and depersonalization of bodily performances and personal identity, respectively. More recently, Feezell and Dombrowski advance theses about sports with Weiss as their primary interlocutor, if not foil. What I put forth travels a different path than Dombrowski and Feezell in that I plumb Weiss’s narrative arc, Platonic imagination and metaphysic, more extensively as it tells a certain story about human embodiment, and thus, grounds his ideal of excellence.     

Development and validation of the Drivers’ Emotional Intelligence Inventory (EMOVIAL)

Road fatalities involving young road users have become a global health issue. Although human factors are known to be involved in road fatalities, little research has examined the way in which emotional competencies may affect road accidents. With the aim of filling this gap we describe the development and validation of a scale for measuring emotional intelligence when driving. The EMOVIAL inventory consists of nine items distributed across three dimensions (attention to emotions while driving, clarity of emotions while driving, and emotional regulation while driving). Analysis of its psychometric properties showed it to be valid and reliable. The paper discusses how the scale may be used to improve road safety.     

A comparative approach to dogs’ (Canis familiaris) and human infants’ comprehension of various forms of pointing gestures

We investigated whether dogs and 2-, and 3-year-old human infants living, in some respects, in very similar social environments are able to comprehend various forms of the human pointing gesture. In the first study, we looked at their ability to comprehend different arm pointing gestures (long cross-pointing, forward cross-pointing and elbow cross-pointing) to locate a hidden object. Three-year-olds successfully used all gestures as directional cues, while younger children and dogs could not understand the elbow cross-pointing. Dogs were also unsuccessful with the forward cross-pointing. In the second study, we used unfamiliar pointing gestures i.e. using a leg as indicator (pointing with leg, leg cross-pointing, pointing with knee). All subjects were successful with leg pointing gestures, but only older children were able to comprehend the pointing with knee. We suggest that 3-year-old children are able to rely on the direction of the index finger, and show the strongest ability to generalize to unfamiliar gestures. Although some capacity to generalize is also evident in younger children and dogs, especially the latter appear biased in the use of protruding body parts as directional signals.     

Macaques’ (Macaca mulatta) use of numerical cues in maze trials

We tested the ability of number-trained rhesus monkeys to use Arabic numeral cues to discriminate between different series of maze trials and anticipate the final trial in each series. The monkeys prior experience with numerals also allowed us to investigate spontaneous transfer between series. A total of four monkeys were tested in two experiments. In both experiments, the monkeys were trained on a computerized task consisting of three reinforced maze trials followed by one nonreinforced trial. The goal of the maze was an Arabic numeral 3, which corresponded to the number of reinforced maze trials in the series. In experiment 1 (n=2), the monkeys were given probe trials of the numerals 2 and 4 and in experiment 2 (n=2), they were given probe trials of the numerals 2–8. The monkeys receiving the probe trials 2 and 4 showed some generalization to the new numerals and developed a pattern of performing more slowly on the nonreinforced trial than the reinforced trial before it for most series, indicating the use of the changing numeral cues to anticipate the nonreinforced trial. The monkeys receiving probe trials of the numerals 2–8 did not predict precisely when the nonreinforced trial would occur in each series, but they did incorporate the changing numerals into their strategy for performing the task. This study provides the first evidence that number-trained monkeys can use Arabic numerals to perform a task involving sequential presentations.     

Politics,Friendship and Solitude in Nietzsche (Confronting Derrida’s reading of Nietzsche in ‘Politics of Friendship’)

The paper offers a counter-reading to Derrida’s “utopian” reading of Nietzsche, focussing instead on Nietzsche’s cynical view of friendship, based on the impossibility of being a friend to oneself. Unlike Aristotle, who sees the basis of human political nature in their shared rationality and mutual friendship, Nietzsche sees not only politics, but human beings themselves as being constituted by a violent act of submission, and characterised by an ongoing struggle for power.

The paper further examines two intellectual traditions about friendship and politics, one (primarily associated with Aristotle) according to which the two are positively related and no real tension could exist between them. Another tradition (primarily associated with Montaigne) holds friendship to be irreconcilable with politics.

Elements of both traditions can be recognised in Nietzsche who, finding the radical deceptive nature of friendship unacceptable, moves to a solitude which is equally unbearable. For it is precisely the hermit that knows that his solitude makes him into an other to himself; which turns out to be a motive for real friendship, the third element which prevents the lonely hermit from sinking into the depth of self-interrogation. The paper concludes with the recognition that friendship, for Nietzsche, can only have an intermediary function on the way to full realisation of friendship, which will be a friendship of an inner difference or plurality, i.e. on our way to what is ultimately beyond the human condition, to the “overman”.     

Psychometric properties of the French version of the Teachers’ Sense of Efficacy Scale (TSES-12f)

IntroductionSelf-efficacy appears to be an important resource for teachers assessed by the Teachers’ Sense of Efficacy Scale (TSES; Tschannen-Moran & Woolfolk Hoy, 2001).ObjectiveThe current study aims to explore psychometric properties the TSES short form translated into French, taking account of teachers’ experience with special needs students.MethodA sample of 283 primary and secondary teachers completed the scale.ResultsResults of confirmatory factor analyses confirm the tridimensional structure of the scale, which shows satisfactory psychometric properties.ConclusionThe usefulness of this scale is discussed considering the context of inclusive education reforms, as well as the potential protective effect of self-efficacy for teachers.