The Role of Mathematics in Deleuze’s Critical Engagement with Hegel

Abstract

The role of mathematics in the development of Gilles Deleuze’s (1925–95) philosophy of difference as an alternative to the dialectical philosophy determined by the Hegelian dialectic logic is demonstrated in this paper by differentiating Deleuze’s interpretation of the problem of the infinitesimal in Difference and Repetition from that which G. W. F Hegel (1770–1831) presents in the Science of Logic. Each deploys the operation of integration as conceived at different stages in the development of the infinitesimal calculus in his treatment of the problem of the infinitesimal. Against the role that Hegel assigns to integration as the inverse transformation of differentiation in the development of his dialectical logic, Deleuze strategically redeploys Leibniz’s account of integration as a method of summation in the form of a series in the development of his philosophy of difference. By demonstrating the relation between the differential point of view of the Leibnizian infinitesimal calculus and the differential calculus of contemporary mathematics, I argue that Deleuze effectively bypasses the methods of the differential calculus which Hegel uses to support the development of the dialectical logic, and by doing so, sets up the critical perspective from which to construct an alternative logic of relations characteristic of a philosophy of difference. The mode of operation of this logic is then demonstrated by drawing upon the mathematical philosophy of Albert Lautman (1908–44), which plays a significant role in Deleuze’s project of constructing a philosophy of difference. Indeed, the logic of relations that Deleuze constructs is dialectical in the Lautmanian sense.     

What is continental philosophy?

Abstract

This paper attempts to provide an account of what is philosophically distinctive about what has come to be known as ‘Continental philosophy’. In the early parts of the paper I give a historical and cultural analysis of the emergence of Continental philosophy and consider objections to the latter and some stereotypical representations of the analytic‐Continental divide.

In the philosophically more substantial part of the paper, I seek to redraw the distinction between analytic and Continental philosophy by focusing on a number of themes: (i) the centrality of tradition and history for Continental philosophy and the way this affects philosophical practices of argumentation and interpretation, (ii) the way in which the concept of Continental philosophy emerges out of the German idealist reception of the Kantian critique of metaphysics and the significant way this is continued in Nietzsche with his concept of nihilism, (iii) the centrality of the concepts of critique, emancipation and praxis for the Continental tradition, (iv) the importance of the theme of crisis that runs through the Continental tradition, (v) an explanation and justification of the pervasive anti‐scientism of the Continental tradition.

I conclude by explaining and criticizing the professionalization of philosophy that has produced the analytic‐Continental divide, insofar as this divide disguises a deeper possible debate about the identity of philosophy itself outside of its professional confines.     

Anticipation boosts forgetting of voluntarily suppressed memories

The role of anticipatory mechanisms in human memory control is poorly understood. Addressing the issue we investigated whether the presence of an anticipatory phase can enhance effects of cognitive control, as they occur during voluntary suppression of episodic memories. Using the Think/No-Think task, participants first learned several face–word associations, and thereafter were asked to either recall (think) or suppress (no-think) the word when provided with the word's face cue. In the one condition participants performed the Think/No-Think task in the presence of an anticipatory phase, giving participants the chance to prepare for memory suppression. In the other condition participants performed the task without such an anticipatory phase. On the final cued recall test participants were asked to recall all of the previously studied words. The results showed stronger forgetting of to-be-suppressed items in the presence than absence of the anticipatory phase. The finding is first evidence for the effectiveness of anticipatory mechanisms in human memory suppression.     

Heidegger and the question of animality 1

Abstract

It is widely recognized that Heidegger's analysis of Dasein outlines a novel dissolution of the epistemological problems of modern philosophy. However it has not been fully appreciated that this analysis presupposes a conception of human beings which radically separates them from all natural, animal life. Focusing on Heidegger's analysis of Mitsein it is argued that this separation prevents Heidegger from achieving a conception of human existence which avoids the distortions of the humanist tradition against which it recoils. Against Heidegger, it is argued that a philosophically satisfactory conception of human existence must be more smoothly naturalistic.     

Reaction Time Distribution Analysis of Neuropsychological Performance in an ADHD Sample

Differences in reaction time (RT) variability have been documented between children with and without Attention Deficit Hyperactivity Disorder (ADHD). Most previous research has utilized estimates of normal distributions to examine variability. Using a nontraditional approach, the present study evaluated RT distributions on the Conners’ Continuous Performance Test in children and adolescents from the Multimodal Treatment Study of ADHD sample compared to a matched sample of normal controls (n = 65 pairs). The ex-Gaussian curve was used to model RT and RT variability. Children with ADHD demonstrated faster RT associated with the normal portion of the curve and a greater proportion of abnormally slow responses associated with the exponential portion of the curve. These results contradict previous interpretation that children with ADHD have slower than normal responding and demonstrate why slower RT is found when estimates of variability assume normal Gaussian distributions. Further, results of this study suggest that the greater number of abnormally long RTs of children with ADHD reflect attentional lapses on some but not all trials.     

Understanding countertransference and object relations in the process of nursing drug-dependent patients

In psychiatric nursing, transference and countertransference dynamics are generally ignored. This paper is an attempt to examine how the transference and countertransference dynamics influenced the nurse-patient relationships on an in-patient drug-dependency unit, and how an understanding of transference was found to be helpful.     

Binocular vision enhances a rapidly evolving affordance priming effect: Behavioural and TMS evidence

Extensive research has suggested that simply viewing an object can automatically prime compatible actions for object manipulation, known as affordances. Here we explored the generation of covert motor plans afforded by real objects with precision (‘pinchable’) or whole-hand/power (‘graspable’) grip significance under different types of vision. In Experiment 1, participants viewed real object primes either monocularly or binocularly and responded to orthogonal auditory stimuli by making precision or power grips. Pinchable primes facilitated congruent precision grip responses relative to incongruent power grips, and vice versa for graspable primes, but only in the binocular vision condition. To examine the temporal evolution of the binocular affordance effect, participants in Experiment 2 always viewed the objects binocularly but made no responses, instead receiving a transcranial magnetic stimulation pulse over their primary motor cortex at three different times (150, 300, 450 ms) after prime onset. Motor evoked potentials (MEPs) recorded from a pinching muscle were selectively increased when subjects were primed with a pinchable object, whereas MEPs from a muscle associated with power grips were increased when viewing graspable stimuli. This interaction was obtained both 300 and 450 ms (but not 150 ms) after the visual onset of the prime, characterising for the first time the rapid development of binocular grip-specific affordances predicted by functional accounts of the affordance effect.     

Using E-Z Reader to examine the concurrent development of eye-movement control and reading skill

Compared to skilled adult readers, children typically make more fixations that are longer in duration, shorter saccades, and more regressions, thus reading more slowly (Blythe & Joseph, 2011). Recent attempts to understand the reasons for these differences have discovered some similarities (e.g., children and adults target their saccades similarly; Joseph, Liversedge, Blythe, White, & Rayner, 2009) and some differences (e.g., children’s fixation durations are more affected by lexical variables; Blythe, Liversedge, Joseph, White, & Rayner, 2009) that have yet to be explained. In this article, the E-Z Reader model of eye-movement control in reading (Reichle, 2011 and Reichle et al., 1998) is used to simulate various eye-movement phenomena in adults vs. children in order to evaluate hypotheses about the concurrent development of reading skill and eye-movement behavior. These simulations suggest that the primary difference between children and adults is their rate of lexical processing, and that different rates of (post-lexical) language processing may also contribute to some phenomena (e.g., children’s slower detection of semantic anomalies; Joseph et al., 2008). The theoretical implications of this hypothesis are discussed, including possible alternative accounts of these developmental changes, how reading skill and eye movements change across the entire lifespan (e.g., college-aged vs. older readers), and individual differences in reading ability.     

Informant reports add incrementally to the understanding of the perfectionism–depression connection: Evidence from a prospective longitudinal study

Perfectionism is a putative risk factor for depressive symptoms. However, most research in this area uses cross-sectional designs (which fail to address temporal precedence) and mono-source designs (which are influenced by various biases). The present study overcomes these limitations by using a novel design involving both self- and informant reports of self-critical perfectionism (i.e., negative reactions to perceived failures, concern over others’ criticism and expectations, doubts about performance abilities, and intense self-rebuke). It was hypothesized that self- and informant reports of self-critical perfectionism would correlate moderately and that self- and informant reports of self-critical perfectionism would predict increases in depressive symptoms over time. A sample of 155 target participants and 588 informants was recruited and studied using a prospective longitudinal design. All study hypotheses were supported, including evidence that self- and informant reports of self-critical perfectionism each add incrementally to the understanding of the self-critical perfectionism–depressive symptoms connection. Informant reports may provide a more complete picture of the self-critical perfectionist and her or his vulnerability to depressive symptoms.     

Trends in timing of sleep in the general population of Norway: 1980 to 20001

The aim of the current study was to examine whether the timing of sleep have changed over the last two decades. As part of a general survey of activities throughout the 24-hr. cycle, collected in 1980, 1990, and 2000 by Statistics Norway, information on sleep timing was obtained for every 15-min. interval for 1 wk. All three samples were representative of Norwegians. The age span was from 16 to 74 years. Timing of sleep was significantly delayed in 2000 compared to 1990 and especially so in 1980, but with no change in total amount of sleep. From 1980 to 2000, there was an increasing discrepancy in sleep or wake timing between weekdays and weekends. The current analyses show that people sleep as much as before but do so at different times. The increased discrepancy between weekdays and weekends indicates that overall sleep habits are poorer now than previously.