In diesem Aufsatz möchte ich einen Überblick über unser heutiges Wissen bezüglich der Übersetzung der Elemente Euklids ins Lateinische geben. Cicero hat als Quästor in Sizilien das Grab des Archimedes aufgesucht und instandsetzen lassen, er nennt gelegentlich Euklid und Archimedes und er zitiert in Academica I, Buch II, § 116, die Definitionen von Punkt und Linie. Vor dem 6.

The twelfth century was a period of transmission and absorption of Arabic learning though it filtered outside of the Arabic world as early as the second half of the tenth century. In general, the lure of Spain began to act only in the twelfth century, and the active impulse toward the spread of Arabic mathematics came from beyond the Pyrenees and from men of diverse origins. The chief names are Adelard of Bath, Robert of Chester, Hermann of Carinthia and Gerard (...) of Cremona. In this time the Latin world became acquainted with the Hindu numerals, the Arabic Algebra and Euclid'sElements. However, not only Spain, but also the Norman kingdom of southern Italy and Sicily occupies a position of peculiar importance, though the works of the translators did not become very influential. There were made direct translations from Greek into Latin. One had to wait a century more to obtain a translation from Greek into Latin of the chief Archimedean scientific and mathematical treatises by William of Moerbeke. In the thirteenth century Fibonacci and Jordanus Nemorarius stand at the threshold of European mathematics. Not only was Fibonacci the first to explain Arabic arithmetic, but his works, especially his later ones, contain many original ideas. Jordanus continued the Greco-Roman tradition rather than the Greco-Arabic one, but he did so with much independence. To Nicole Oresme (fourteenth century) was due a broadened view of proportionality, a geometric proof to determine the summation of convergent infinite series and the proof, evidently the first in the history of mathematics, that the harmonic series is divergent. The Configuration Doctrine was treated by Merton College authors and by Oresme. In the fifteenth century theDe triangulis omnimodis of Regiomontan, a systematic account of the methods for solving triangles, marked the rebirth of trigonometry. (shrink)

The text of the tract De arcubus similibus was published for the first time by M. Curtze in 1887. However, after examining some more Latin manuscripts and the Arabic MS Oxford, Bodleian Library, Marsh 663 it appeared, that Curtze's edition was rather an adaptation. Also Curtze's suggestion that Jordanus Nemorarius was the author was very probably wrong. The author of the tract was the Egyptian mathematician Ahmed ibn Jusuf as appears from the Latin manuscripts, and its translator, very probably, Gerard (...) of Cremona. In the tract Ahmed tried to prove, that the assertion ‘similar arcs are also equal arcs’ was wrong . His starting points were the propositions Euclid III, 20 and 21. Consequently, the tract can be looked upon as a commentary on the third book of the Elements. (shrink)

Im folgenden sollen zwei Arbeiten zur theoretischen Mathematik vorgestellt werden, die im 14. Jahrhundert entstanden. Die eine stammt von Thomas Bradwardine (um 1290 - 1349), einem der wichtigsten Mathematiker dieser Zeit, die andere von dem praktisch unbekannten Wigandus Durnheimer. Bei Bradwardine soll insbesondere die Frage beantwortet werden, welche der arithmetischen Schriften, die ihm zugeschrieben werden, wirklich von ihm stammt. Bei Durnheimers Schrift, einer Kompilation, die u.a. auf Bradwardines Abhandlung beruht, werden der Inhalt der einzelnen Kapitel und deren Quellen angegeben.

A Critique of Artificial Reason Hubert L. Dreyfus . HUBERT L. DREYFUS What Computers Still Can't Do Thi s One XZKQ-GSY-8KDG What. WHAT COMPUTERS STILL CAN'T DO Front Cover.

This book is the first to provide a sustained, coherent analysis of Foucault's work as a whole. To demonstrate the sense in which Foucault's work is beyond structuralism and hermeneutics, the authors unfold a careful, analytical exposition of his oeuvre. They argue that during the of Foucault's work became a sustained and largely successful effort to develop a new method - "interpretative analytics" - capable of explaining both the logic of structuralism's claim to be an objective science and the apparent (...) validity of the hermeneutical counterclaim that the human sciences can proceed only by understanding the deepest meaning of the subject and his tradition. (shrink)

Essays discuss the themes of worldliness, affectedness, understanding, and the care-structure found in Heidegger's work on the nature of existence.

_Internet_ is een van de eerste boeken waarin het filosofische inzicht -van Plato tot Kierkegaard - betrokken wordt op het debat over de mogelijkheden en onmogelijkheden van het internet. Dreyfus laat zien dat de onstoffelijke, 'vrij zwevende' websurfer zijn oorsprong vindt in Descartes' scheiding van geest en lichaam, en hoe Kierkegaards inzichten in de opkomst van het moderne leespubliek vooruitlopen op de nieuwsgierige, maar elk risico vermijdende internet-junkie. Uitgaande van recente onderzoeken naar het isolement dat veel internetgebruikers ervaren, toont Dreyfus (...) aan hoe het internet, door zijn nadruk op privé-ervaringen, gebruikers berooft van wezenlijke, belichaamde vermogens zoals vertrouwen, stemmingen en betrokkenheid bij met anderen gedeelde lokale aangelegenheden. _Internet_ is verplichte kost voor iedereen die on line is en is geïnteressseerd in onze plaats in de 'e-revolutie'. (shrink)

Existential phenomenologists hold that the two most basic forms of intelligent behavior, learning, and skillful action, can be described and explained without recourse to mind or brain representations. This claim is expressed in two central notions in Merleau-Ponty's Phenomenology of Perception: the intentional arc and the tendency to achieve a maximal grip. The intentional arc names the tight connection between body and world, such that, as the active body acquires skills, those skills are “stored”, not as representations in the mind, (...) but as dispositions to respond to the solicitations of situations in the world. A phenomenology of skill acquisition confirms that, as one acquires expertise, the acquired know-how is experienced as finer and finer discriminations of situations paired with the appropriate response to each. Maximal grip names the body's tendency to refine its responses so as to bring the current situation closer to an optimal gestalt. Thus, successful learning and action do not require propositional mental representations. They do not require semantically interpretable brain representations either.Simulated neural networks exhibit crucial structural features of the intentional arc, and Walter Freeman's account of the brain dynamics underlying perception and action is structurally isomorphic with Merleau-Ponty's account of the way a skilled agent is led by the situation to move towards obtaining a maximal grip. (shrink)

Existential phenomenologists hold that the two most basic forms of intelligent behavior, learning, and skillful action, can be described and explained without recourse to mind or brain representations. This claim is expressed in two central notions in Merleau-Ponty's Phenomenology of Perception: the intentional arc and the tendency to achieve a maximal grip. The intentional arc names the tight connection between body and world, such that, as the active body acquires skills, those skills are stored, not as representations in the mind, (...) but as dispositions to respond to the solicitations of situations in the world. A phenomenology of skill acquisition confirms that, as one acquires expertise, the acquired know-how is experienced as finer and finer discriminations of situations paired with the appropriate response to each. Maximal grip names the body's tendency to refine its responses so as to bring the current situation closer to an optimal gestalt. Thus, successful learning and action do not require propositional mental representations. They do not require semantically interpretable brain representations either.Simulated neural networks exhibit crucial structural features of the intentional arc, and Walter Freeman's account of the brain dynamics underlying perception and action is structurally isomorphic with Merleau-Ponty's account of the way a skilled agent is led by the situation to move towards obtaining a maximal grip. (shrink)

McDowell's claim that "in mature human beings, embodied coping is permeated with mindedness",1 suggests a new version of the mentalist myth which, like the others, is untrue to the phenomenon. The phenomena show that embodied skills, when we are fully absorbed in enacting them, have a kind of non-mental content that is non-conceptual, non-propositional, non-rational and non-linguistic. This is not to deny that we can monitor our activity while performing it. For solving problems, learning a new skill, receiving coaching, and (...) so forth, such monitoring is invaluable. But monitoring what we are doing as we are doing it degrades performance to at best competence. On McDowell's view, there is no way to account for such a degradation in performance since the same sort of content would be involved whether we were fully absorbed in or paying attention to what we were doing. McDowell claims that it is an advantage of his conceptualism that it avoids any foundationalist attempt to build up the objective world on the basis of an indubitable Given or any other ground-floor experience. And, indeed, if the world is all that is the case and our minds are unproblematically open to it, all experience is on the same footing. But one must distinguish motor intentionality, and the interrelated solicitations our coping body is intertwined with, from conceptual intentionality and the world of propositional structures it opens onto. The existential phenomenologist can then agree with McDowell in rejecting traditional foundationalisms, while yet affirming and describing the ground-floor role of motor intentionality in providing the support on which all forms of conceptual intentionality are based. (shrink)

This new anthology will serve as an ideal introduction to phenomenology for analytic philosophers, both as a text and as the single most useful source book on Husserl for cognitive scientists.

Back in 1950, while a physics major at Harvard, I wandered into C.I. Lewis’s epistemology course. There, Lewis was confidently expounding the need for an indubitable Given to ground knowledge, and he was explaining where that ground was to be found. I was so impressed that I immediately switched majors from ungrounded physics to grounded philosophy.

For fifty years Hubert Dreyfus has done pioneering work which brings phenomenology and existentialism to bear on the philosophical and scientific study of the mind. This is a selection of his most influential essays, developing his critique of the representational model of the mind in analytical philosophy of mind and mainstream cognitive science.

MICHAEL WHEELER Cambridge, MA: MIT Press, 2005432 pages, ISBN: 0262232405 (hbk); $35.001.When I was teaching at MIT in the 1960s, students from the Artificial Intelligence Laboratory would come to...

Our contemporary nihilism -- Homer's polytheism -- From Aeschylus to Augustine : monotheism on the rise -- From Dante to Kant : the attractions and dangers of autonomy -- Fanaticism, polytheism, and Melville's "evil art" -- David Foster Wallace's nihilism -- Conclusion : lives worth living in a secular age.

Existential phenomenologists hold that the two most basic forms of intelligent behavior, learning, and skillful action, can be described and explained without recourse to mind or brain representations. This claim is expressed in two central notions in Merleau-Ponty's Phenomenology of Perception: the intentional arc and the tendency to achieve a maximal grip. The intentional arc names the tight connection between body and world, such that, as the active body acquires skills, those skills are “stored”, not as representations in the mind, (...) but as dispositions to respond to the solicitations of situations in the world. A phenomenology of skill acquisition confirms that, as one acquires expertise, the acquired know-how is experienced as finer and finer discriminations of situations paired with the appropriate response to each. Maximal grip names the body's tendency to refine its responses so as to bring the current situation closer to an optimal gestalt. Thus, successful learning and action do not require propositional mental representations. They do not require semantically interpretable brain representations either.Simulated neural networks exhibit crucial structural features of the intentional arc, and Walter Freeman's account of the brain dynamics underlying perception and action is structurally isomorphic with Merleau-Ponty's account of the way a skilled agent is led by the situation to move towards obtaining a maximal grip. (shrink)

In previous work I urged that the perceptual experience we rational animals enjoy is informed by capacities that belong to our rationality, and - in passing - that something similar holds for our intentional action. In his Presidential Address, Hubert Dreyfus argued that I thereby embraced a myth, "the Myth of the Mental". According to Dreyfus, I cannot accommodate the phenomenology of unreflective bodily coping, and its importance as a background for the conceptual capacities exercised in reflective intellectual activity. (...) My paper responds to this accusation. Dreyfus misreads my invocation of Aristotle, and is thereby led to suppose, wrongly, that I conceive rationality as detached, brought to bear on practical predicaments from a standpoint other than one of immersion in them. I urge that even unreflective bodily coping, on the part of rational animals, is informed by their rationality. Dreyfus mentions Heidegger’s distinction, which is picked up by Gadamer, between being oriented towards the world and merely inhabiting an environment. But he sets it aside, whereas it is crucial for the issue between us. Engaged bodily coping involves responsiveness to affordances, and responsiveness to affordances on the part of rational animals belongs to their relation to the world. I explain how the idea that conceptual capacities are actualized in our perceptual experience is connected with the thought that our perceptual experience opens us to the world. Finally, I suggest that the real myth in this area is the conception of rationality underlying Dreyfus’s resistance to my picture. (shrink)

Can we accept John McDowell’s Kantian claim that perception is conceptual “all the way out,” thereby denying the more basic perceptual capacities we seem to share with prelinguistic infants and higher animals? More generally, can philosophers successfully describe the conceptual upper floors of the edifice of knowledge while ignoring the embodied coping going on on the ground floor? I argue that we shouldn’t leave the conceptual component of our lives hanging in midair and suggest how philosophers who want to understand (...) knowledge and action can profit from a phenomenological analysis of the nonconceptual embodied coping skills we share with animals and infants, as well as the nonconceptual immediate intuitive understanding exhibited by experts. (shrink)

Against Davidsonian (or deflationary) realism, it is argued that it is coherent to believe that science can in principle give us access to the functional components of the universe as they are in themselves in distinction from how they appear to us on the basis of our quotidian concerns or sensory capacities. The first section presents the deflationary realist's argument against independence. The second section then shows that, although Heidegger pioneered the deflationary realist account of the everyday, he sought to (...) establish a robust realist account of science. Next, the third section develops two different sides of Heidegger's thinking. Resources developed by Thomas Kuhn are drawn on to work out Heidegger's account of plural worlds. This argument shows that it makes sense to talk about things-in-themselves independent of our practices, but falls short of the robust realist claim that we can have access to things as they are in themselves independent of our practices. So, secondly, Saul Kripke's account of rigid designation is drawn on to work out Heidegger's account of formal designation. On the basis of a Heideggerian elaboration of rigid designation, it is argued that we do indeed have practices for achieving access to things independent of all our practices. But this second argument leaves us unable to reject metaphysical nominalism. So, thirdly, it is proposed that the currently most persuasive philosophical argument for nominalism depends on a logico-mathematical space of possibilities. But the proto-theoretical space opened by the pre-scientific access practices has features that provide reasons for believing that the independent stuff to which we have access has a determinate structure and specific causal powers. (shrink)

This volume presents a selection of Hubert Dreyfus's pioneering work in bringing phenomenology and existentialism to bear on the philosophical and scientific study of the mind. Each of the thirteen essays interprets, develops, and extends the insights of his predecessors working in the European philosophical tradition. One of Dreyfus' central contributions to reading the historical canon of philosophy comes from his recognition that great philosophers help us to understand the -background practices- of a culture - the practices that shape (...) and embody our most basic understanding of ourselves and the things and situations we encounter in our world. Background practices are all too often overlooked completely, or else their importance is misunderstood. Each chapter in this volume shows in one way or another how a broad range of philosophical topics can only be properly understood when we recognize how they are grounded in the background practices that shape our lives and give meaning to our activities, our tasks, our normative commitments, our aims and our goals. (shrink)

OF THE many issues surrounding the new interest in hermeneutics, current debate has converged upon two.

The Blackwell Companion to Heidegger is a complete guide to the work and thought of Martin Heidegger, one of the most influential philosophers of the twentieth century. Considers the most important elements of Heidegger’s intellectual biography, including his notorious involvement with National Socialism Provides a systematic and comprehensive exploration of Heidegger’s work One of the few books on Heidegger to cover his later work as well as Being and Time Includes key critical responses to Heidegger’s philosophy Contributors include many of (...) the leading interpreters of, and commentators on, the work of Heidegger. (shrink)

In this paper I would like to explain, defend, and draw out the implications of this claim. Since the intentional arc is supposed to embody the interconnection of skillful action and perception, I will first lay out an account of skill.

In this paper I would like to explain, defend, and draw out the implications of this claim. Since the intentional arc is supposed to embody the interconnection of skillful action and perception, I will first lay out an account of skill.

being, culminating in the technological understanding of being, in order to help us understand and overcome our current way of dealing with things as objects and resources, Foucault analyzes several regimes of power, culminating in modern bio-power, in order to help us free ourselves from understanding ourselves as subjects.

Husserl and Searle agree that, for a bodily movement to be an action, it must be caused by a propositional representation. Husserl's representation is a mental state whose intentional content is what the agent is trying to do; Searle thinks of the representation as a logical structure expressing the action's conditions of satisfaction. Merleau-Ponty criticises both views by introducing a kind of activity he calls motor intentionality, in which the agent, rather than aiming at success, feels drawn to reduce a (...) felt tension. I argue that Searle can account for Merleau-Ponty's kind of coping only by broadening his notion of propositional representation to include indexicals, but that, in so doing, he covers up the way representational intentionality depends upon motor intentionality. (shrink)