An in-depth look at the science of ancient Greece, this volume examines the influence of antique philosophy on 17th-century thought. Additional topics embrace many elements of modern physics: the empirical basis of quantum mechanics, wave-particle duality and the uncertainty principle, and the action-at-a-distance theory of Wheeler and Feynman. 1961 edition.

In the present article, we consider the question of the primary elements in Plato’s Timaeus, the components of the whole universe reduced, by an extraordinarily elegant construction, to two right triangles. But how does he reconcile such a model with the infinite diversity of the universe? A large part of this study is devoted to Cornford’s explanation in his commentary of the Timaeus and its shortcomings, in order to finally propose a revised one, which we think to be entirely consistent (...) with Plato’s text. This analysis is an essential step for the understanding of the connection between the sensible world and the mathematical principles that underlies Timaeus’ cosmological account. (shrink)

Both patients and clinicians frequently report problems around communicating and assessing pain. Patients express dissatisfaction with their doctors and doctors often find exchanges with chronic pain patients difficult and frustrating. This chapter thus asks how we could improve pain communication and thereby enhance outcomes for chronic pain patients. We argue that improving matters will require a better appreciation of the complex meaning of pain terms and of the variability and flexibility in how individuals think about pain. We start by examining (...) the various accounts of the meaning of pain terms that have been suggested within philosophy and suggest that, while each of the accounts captures something important about our use of pain terms, none is completely satisfactory. We propose that pain terms should be viewed as communicating complex meanings, which may change across different communicative contexts, and this in turn suggests that we should view our ordinary thought about pain as similarly complex. We then sketch what a view taking seriously this variability in meaning and thought might look like, which we call the “polyeidic” view. According to this view, individuals tacitly occupy divergent stances across a range of different dimensions of pain, with one agent, for instance, thinking of pain in a much more “bodycentric” kind of way, while another thinks of pain in a much more "mindcentric” way. The polyeidic view attempts to expand the multidimensionality recognised in, e.g., biopsychosocial models in two directions: first, it holds that the standard triumvirate— dividing sensory/cognitive/affective factors— needs to be enriched in order to capture important distinctions within the social and psychological dimensions. Second, the polyeidic view attempts to explain (at least in part) why modulation of experience by these social and psychological factors is possible in the first place. It does so by arguing that because the folk concept of pain is complex, different weightings of the different parts of the concept can modulate pain experience in a variety of ways. Finally, we argue that adopting a polyeidic approach to the meaning of pain would have a range of measurable clinical outcomes. (shrink)

In this paper, we study the so-called ‘Mathematical part’ of Plato’s Theaetetus. Its subject concerns the incommensurability of certain magnitudes, in modern terms the question of the rationality or irrationality of the square roots of integers. As the most ancient text on the subject, and on Greek mathematics and mathematicians as well, its historical importance is enormous. Its interpretation presents a certain degree of difficulty because of the intertwined fields that play a role in it : philosophy, history and mathematics. (...) But conversely, correctly understood, it provides clues on both the question of the origins of the irrationals in Greek mathematics and some points concerning Plato’s thought. Taking into account the historical context and the philosophical background generally forgotten in mathematical analyses, we get a new interpretation of this text which, far from being a tribute to some mathematicians, is a radical criticism of their ways of thinking. And the mathematical lesson, far from being a tribute to some future mathematical achievements, ends on an aporia, in accordance with the whole dialogue. (shrink)

Extraits de la Source de vie de Salomon ibn-Gebirol.--Ibn-Gebirol, ses écrits et sa philosophie.--Des principaux philosophes arabes et de leurs doctrines.--Esquisse historique de la philosophie chez les Juìfs.--Appendice.--Texte hébreu des extraits de la Source de vie (2 p.l., 36 numb. l. at end).

In this book, Michael Arbib, a researcher in artificial intelligence and brain theory, joins forces with Mary Hesse, a philosopher of science, to present an integrated account of how humans 'construct' reality through interaction with the social and physical world around them. The book is a major expansion of the Gifford Lectures delivered by the authors at the University of Edinburgh in the autumn of 1983. The authors reconcile a theory of the individual's construction of reality as a network of (...) schemas 'in the head' with an account of the social construction of language, science, ideology and religion to provide an integrated schema-theoretic view of human knowledge. The authors still find scope for lively debate, particularly in their discussion of free will and of the reality of God. The book integrates an accessible exposition of background information with a cumulative marshalling of evidence to address fundamental questions concerning human action in the world and the nature of ultimate reality. (shrink)

History is familiar with great scientific traditions which have been substantial, effective, cumulative and progressive.* At the level of great eras of civilization, extensive and not episodic phenomena, very ancient Chinese science, Greek science and Arab science are objects of investigation for historical erudition, but also for the scientific historian and the philosopher of sciences. Many of the elements of these systems were the source of “modern science”, as it is called, or are integral parts ol’ this system of knowledge (...) and practice which has been constructed over a little more than three centuries. Diachronically, the “scientific revolution” of the classical age in Europe does not signify a total break with what preceded it: Chinese astronomy, Arab algebra and the hospital organization of the Islamic world were used, even if the ideology of scientists when they wrote their own history, particularly from the 19th century onward, tends to make of modern science a purely European phenomenon. (shrink)

This article articulates our everyday notion of cooperation. First, I topple an orthodoxy of shared agency theory by arguing that shared intentions to J are neither necessary nor sufficient for J to be cooperative. I refute the necessity claim by providing examples of shared intention-free cooperation (in institutional contexts and beyond). I refute the sufficiency claim by observing that coercion and exploitation need not preclude shared intentions but do preclude cooperation. These arguments, in turn, lead to my positive proposal. People (...) cooperate, I argue, just in case their activities are coordinated in ways that do not undermine any participant’s agency. (shrink)

Challenges to the exercise of the basic socio-economic rights of half the global population give rise to some of the most pressing issues today. This timely book focuses on world poverty, providing a systematic exposition of the evolving legal responsibility of the international community of states to cooperate in addressing the structural obstacles that contribute to this injustice. This book analyzes the approach, contribution, and current limitations of the international law of human rights to the manifestations of world poverty, inviting (...) the reader to rethink human rights, and, in particular, the framing of responsibilities that are essential to their contemporary protection. (shrink)

This paper is an updated translation of an article published in French in the Journal Lato Sensu (I, 2014, p. 70-80). We study here the so-called 'Mathematical part' of Plato's Theaetetus. Its subject concerns the incommensurability of certain magnitudes, in modern terms the question of the rationality or irrationality of the square roots of integers. As the most ancient text on the subject, and on Greek mathematics and mathematicians as well, its historical importance is enormous. The difficulty to understand it (...) lies in the close intertwining of different fields we found in it: philosophy, history and mathematics. But conversely, correctly understood, it gives some evidences both about the question of the origins of the irrationals in Greek mathematics and some points concerning Plato's thought. Taking into account the historical context and the philosophical background generally forgotten in mathematical analyses, we get a new interpretation of this text, which far from being a tribute to some mathematicians, is a radical criticism of their ways of thinking. And the mathematical lesson, far from being a tribute to some future mathematical achievements, is ending on an aporia, in accordance with the whole dialogue. Résumé. Cet article est une traduction anglaise révisée d'un article paru en français dans la revue Lato Sensu (I, 2014, p. 70-80). (shrink)

Pour rendre compte de la première démonstration d’existence d’une grandeur irrationnelle, les historiens des sciences et les commentateurs d’Aristote se réfèrent aux textes sur l’incommensurabilité de la diagonale qui se trouvent dans les Premiers Analytiques, les plus anciens sur la question. Les preuves usuelles proposées dérivent d’un même modèle qui se trouve à la fin du livre X des Éléments d’Euclide. Le problème est que ses conclusions, passant par la représentation des fractions comme rapport de deux entiers premiers entre eux, (...) i.e. la proposition VII.22 des Éléments, ne correspondent pas aux écrits aristotéli­ciens. Dans cet article, nous proposons une nouvelle démonstration, conforme aux textes des Analytiques, fondés sur des résultats très anciens de la théorie du pair et de l’impair. Ne passant pas par la proposition VII.22, ni par aucune autre propriété établie par l’absurde, cette irrationalité apparaît comme le premier résultat que l’on ne pouvait établir par une autre méthode. L’importance de ce résultat, révélant un nouveau domaine mathématique, celui des grandeurs irrationnelles, rend compte de la centralité que cette forme de raisonnement acquiert alors, d’abord en mathématique, puis dans tout type de discours rationnel. À partir des conséquences qui suivent de cette nouvelle démonstration, on peut interpréter très simplement la leçon sur les irrationnels du passage mathématique figurant dans le Théétète de Platon (147d-148b), ce que nous ferons dans un article à paraître dans un prochain numéro. (shrink)

Introduction -- Matter, form of cognition, form of sensibility, form of understanding, time and space -- Sensibility, imagination, understanding, pure a priori concepts of the understanding or categories, schemata, answering the question Quid Juris, answering the question Quid Facti, doubts about the latter -- Ideas of the understanding, ideas of reason, etc. -- Subject and predicate. the determinable and the determination -- Thing, possible, necessary, ground, consequence, etc. -- Identity, difference, opposition, reality, logical, and transcendental negation -- Magnitude, alteration, change, (...) etc. -- Truth, subjective, objective, logical, metaphysical -- On the I, materialism, idealism, dualism, etc. -- Short overview of the whole work -- My ontology -- On symbolic cognition and philosophical language. (shrink)

Introduction -- Repression, ignorance, and undone science -- The epistemic dimension of the political opportunity structure -- The politics of meaning: from frames to design conflicts -- The organizational forms of counterpublic knowledge -- Institutional change, industrial transitions, and regime resistance politics -- Contemporary change: liberalization and epistemic modernization -- Conclusion.