v. 1. Sbornik stateĭ -- v. 2-3. Statʹi i issledovanii︠a︡.

We present some recent technical results of us on the incompleteness of classical analysis and then discuss our work on the Arnol'd decision problems for the stability of fixed points of dynamical systems.

We present some recent technical results of us on the incompleteness of classical analysis and then discuss our work on the Arnol'd decision problems for the stability of fixed points of dynamical systems.

Principia (Book 1, Sect. 6), Newton's Lemma 28 on the algebraic nonintegrability of ovals has had an unusually mixed reception. Beginning in 1691 with Jakob Bernoulli (who accepted the lemma) and Huygens and Leibniz (who rejected it and offered counterexamples), Lemma 28 has a history of eliciting seemingly contradictory reactions. In more recent times, D.T. Whiteside in 1974 gave an “unchallengeable counterexample,” while the mathematician V.I. Arnol'd in 1987 sided with Bernoulli and called Newton's argument an “astonishingly modern topological proof.” (...) This disagreement mostly stems, we argue, from Newton's vague statement of the lemma. Indeed, we identify several different interpretations of Lemma 28, any one of which Newton may have been intending to assert, and we then test a number of proposed counterexamples to see which, if any, are true counterexamples to one or more of these versions of the lemma. Following this, we study Newton's argument for the lemma to see whether and where it fails to be convincing. In the end, our study of Newton's Lemma 28 provides an answer to the question, Who is right: Huygens, Leibniz, Whiteside and the others who reject the lemma, or Bernoulli, Arnol'd, and the others who accept it? (shrink)

Prior studies provide consistent evidence of deficits for psychopaths in processing verbal emotional material but are inconsistent regarding nonverbal emotional material. To examine whether psychopaths exhibit general versus specific deficits in nonverbal emotional processing, 34 psychopaths and 33 nonpsychopaths identified with Hare's (R. D. Hare, 1991) Psychopathy Checklist-Revised were asked to complete a facial affect recognition test. Slides of prototypic facial expressions were presented. Three hypotheses regarding hemispheric lateralization anomalies in psychopaths were also tested (right-hemisphere dysfunction, reduced lateralization, and reversed (...) lateralization). Psychopaths were less accurate than nonpsychopaths at classifying facial affect under conditions promoting reliance on right-hemisphere resources and displayed a specific deficit in classifying disgust. These findings demonstrate that psychopaths exhibit specific deficits in nonverbal emotional processing. (shrink)

The work of Michèle Le Dœuff creatively disrupts established notions of what philosophy might be. Far from being a discipline about the leader and the disciple, a hierarchy of knowledge and paternalism, Le Dœuff proposes a philosophy of dialogue and friendship. The conversations in this book explore how this philosophy can be enacted and explored, and show how openness and generosity can be the starting point of truly rigorous thinking. Introduced and curated by the late philosopher, Pamela Sue Anderson, In (...) Dialogue with Michèle Le Dœuff explores themes like contemporary feminism, joy in philosophy, memory, the significance of friendship to thinking and a key Le Dœuffian concept, the imaginary. Le Dœuff's interlocutors, including Penelope Deutscher, Elizabeth Fallaize and Meenda Dhanda, are some of the most significant thinkers in the fields of feminism and continental thought and provide insights and ways into considering philosophy as a profoundly dialogical exercise. (shrink)

Plotinus is the first Greek philosopher to hold a systematic theory of consciousness. The key feature of his theory is that it involves multiple layers of experience: different layers of consciousness occur in different levels of self. This layering of higher modes of consciousness on lower ones provides human beings with a rich experiential world, and enables human beings to draw on their own experience to investigate their true self and the nature of reality. This involves a robust notion of (...) subjectivity. However, it is a notion of subjectivity that is unique to Plotinus, and remarkably different from the Post-Cartesian tradition. Behind the plurality of terms Plotinus uses to express consciousness, and behind the plurality of entities to which Plotinus attributes consciousness, lies a theory of human consciousness. It is a Platonist theory shaped by engagement with rival schools of ancient thought. (shrink)

Psychiatry is increasingly dominated by the reductionist claim that mental illness is caused by neurobiological abnormalities such as chemical imbalances in the brain. Critical psychiatry does not believe that this is the whole story and proposes a more ethical foundation for practice. This book describes an original framework for renewing mental health services in alliance with people with mental health problems. It is an advance over the polarization created by the "anti-psychiatry" of the past.

F. H. Bradley: Logic Although the logical system expounded by F. H. Bradley in The Principles of Logic is now almost forgotten, it had many virtues. To appreciate them, it is helpful to understand that Bradley had a very different view of logic from that prevalent today. He is hostile to the idea of … Continue reading Bradley, F. H.: Logic →.

Onderwerp en gezegde, door D. M. Bakker.--Enkele opmerkingen over het Godsbegrip van Justinus Martyr, door J. den Boeft.--Heidegger, Descartes, Luther, door J. van der Hoeven.--"Geschichtlichkeit" bij Carl Friedrich von Weizsäcker, door G. Horsman.--Menselijke ontmaskering en Bijbels démasqué , door R. Huson.--Kleine geschiedenis van het begrip "niets" in de antieke wijsbegeerte (tot e met de Sofisten en Plato), door P. A. Meijer.--De structuur van opvoeden en opvoedkunde, door J. W. Mojet.--Individualiteit in de fysica, door M. D. (...) Stafleu. (shrink)

Lectures on Hindu monistic (Advaita) Vedanta philosophy.