The aim of this paper is to introduce Wittgenstein’s concept of the form of a language into geometry and to show how it can be used to achieve a better understanding of the development of geometry, from Desargues, Lobachevsky and Beltrami to Cayley, Klein and Poincaré. Thus this essay can be seen as an attempt to rehabilitate the Picture Theory of Meaning, from the Tractatus. Its basic idea is to use Picture Theory to understand the pictures of geometry. (...) I will try to show, that the historical evolution of geometry can be interpreted as the development of the form of its language. This confrontation of the Picture Theory with history of geometry sheds new light also on the ideas of Wittgenstein. (shrink)

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations' solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote (...) for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating. (shrink)

1. Number and magnitude.--2. Space.--3. Force.--4. Nature.

THE VALUE OF SCIENCE INTRODUCTION The search for truth should be the goal of our activities; it is the sole end worthy of them. Doubtless we should first bend our efforts to assuage human suffering, but why ? Not to suffer is a negative ...

Examines the life and writings of Roman Catholic Church reformer Ivan Illich (1926-2002) in the context of the wider field of cultural criticism that took shape in the 1960s and beyond.

The ethics of psychiatry The ethics of psychiatry is one of the areas of medical ethics where the overlap between medical ethics and philosophy of medicine is largest. This is illustrated by two papers in the current issue of the JME. Charlotte Blease discusses whether it is “… ever right to prescribe placebos to patients in clinical practice?” in the context of prescribing for patients with severe depression . Would such prescriptions for instance amount to morally problematic deception? In an (...) intricate analysis she points out that the answer to the question depends on a range of complex conceptual distinctions that will be familiar to scholars in philosophy of medicine. One very significant issue that is raised is that well-being is not synonymous with a realistic assessment of oneself or one's circumstances. Most of us who are not depressed have positive illusions about ourselves and this may even …. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in (...) the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

" Vivid . . . immense clarity . . . the product of a brilliant and extremely forceful intellect." — Journal of the Royal Naval Scientific Service "Still a sheer joy to read." — Mathematical Gazette "Should be read by any student, teacher or researcher in mathematics." — Mathematics Teacher The originator of algebraic topology and of the theory of analytic functions of several complex variables, Henri Poincare (1854–1912) excelled at explaining the complexities of scientific and mathematical ideas to lay (...) readers. Science and Method, written in 1908, has been appreciated by a wide audience of nonprofessionals and translated into many languages. It defines the basic methodology and psychology of scientific discovery, particularly in regard to mathematics and mathematical physics. Drawing on examples from many fields, it explains how scientists analyze and choose their working facts, and it explores the nature of experimentation, theory, and the mind. 1914 edition. Translated by Francis Maitland. (shrink)

Based on interviews conducted for CBC Radio's Ideas, this book draws together an international selection of environmental experts, scientists, philosophers, and ...

Nous reproduisons ici, avec l’aimable autorisation de la Hofbibliothek Aschaffenburg (Allemagne), la courte correspondance inédite entre Dingler et Henri Poincaré. Cette correspondance, conservée aux Archives Dingler dans la Hofbibliothek Aschaffenburg (et mentionnée dans le catalogue du Nachlass de Dingler [Wolters & Schroeder-Heister 1979]), consiste en trois documents : un brouillon en allemand de la main de Dingler, sa traduction française par une autre plume, mais avec des corrections ef...

"La Valeur de la Science" de Henri Poincaré. Mathématicien, physicien et philosophe français (1854-1912).

In lieu of an abstract, here is a brief excerpt of the content:breatheJohn Cayley (bio)To view the current version of John Cayley's digital work "breathe" as a standalone website, please visit https://work.programmatology.com/breathe/. Use of a Chrome browser is advised, and, for mobiles, the site has only been tested for iOS devices. On the desktop, switching to full screen will avoid having to manually resize the browser window to a more or less 16:9 aspect. To view Cayley's notebook (...) with digital code, visit https://observablehq.com/@shadoof/breathe.breathe is a brief, prose-poetic essay in explicitly paragrammatic language art. The 'supply text' that underlies a fundamentally dynamic, temporal making of meaning is what in other contexts might be read as an original composition by myself, its subject the interior oceanscape of breath that we experienced during the pandemic year of 2020, our respiratory rhythms threatened, invisibly, by disease. The piece is also representative of a category of still largely potential poetic artifacts to which computation lends a dynamic and here, a paragrammatic concretism.Despite Julia Kristeva having made a convincing formalist-polemical case for the paragram,1 it seems to be more or less absent from most contemporary milieux of poetic praxis as an explicit, generative principle.2 For 'poetic praxis' I might have said 'writing' or 'literary practice' but the common usage of the former is overly constrained, and its sense after Derrida is, perforce, radically ambiguous. 'Literary' (with its root and other derivations) I now tend to reserve for language art practices within the domain of which the letter is properly and compositionally constitutive. Is breathe an instance of 'writing' or 'literary practice'? Well, literary practice: yes, but not as usually conceived. 'Letteral,' definitely.In Kristeva's abstracted models of poetic language, the paragram is everywhere in both prose and poetry as such: the (chiefly) literal inscription of alternate, multiplied, yet readable 'grams,' at once within and beyond those of the text as received, generative of new meanings, and of various modes for the aestheticization of poetic objects. In subsequent or adjacent criticism–regardless of whether or not it is psychoanalytically inclined–paragram may be further associated with Lacan's "lalangue" (surfacing in breathe as 'lalanguage'), that part of Language (an anglophone term, distinctly capitalized) which clearly exceeds and eludes most of the dubious, fundamentally orthographic, or designative 'sciences' of linguistics.3 But even lalanguage is only ever at best commensurate with [End Page 97] the 'not all,' despite (or perhaps due to) the ineluctable fact that, as T. S. Eliot's Sweeney puts it, "I gotta use words when I talk to you." What should be clear, however, even from this most cursory of outlines, is that paragrams should be read as poetic and that–particularly if allowed to embrace non-literal, metaphoric instances–a case may be (has been) made that paragrams are (Kristeva would have written =) poetic language.In actually existing 'literature' we might suggest that paragrams are hypostasized or stunned (historically, by literal inscription) in latency or in hiding but, clearly, there are potential movements and/or transformative processes, realized through reading, from the 'grams' of the received text to their paragrams. While the usual sense of the prefix 'para-' is "parallel to, separate from or going beyond" (OED), Kristeva and others call attention to this real if usually implicit movement. (I quote extensively from her essay without further comment except to point out that these words are highly suggestive of other aspects of language art in digital media which are not directly addressed in the present, more focused remarks.)[...] the literary text presents itself as a system of multiple connections that could be described as a structure of paragrammatic networks. [...] The term network replaces univocity (linearity) by encompassing it, and suggests that each set (sequence) is the outcome and the beginning of a plurivalent relation. In this network, the elements will be presented as the peaks of a graph ( [...] ), enabling us to formalize the symbolic operation of language as a dynamic mark, as a moving 'gram' (hence as a paragram) which makes rather than expresses a meaning.4The movements-as-transformative(or deformative)-process in breathe are various modes of letteral replacement, particularly of letters... (shrink)

How can we persuade universities to own their responsibilities to the practice-based research that they patronize — while bringing new, fully-accredited methodologies and infrastructures to Humanities and Arts scholarship? Link to Keynote video: https://youtu.be/BNlmGD8yJhc​.

On the nature of mathematical reasoning -- Mathematical magnitude and experience -- Non-Euclidian geometries -- Space and geometry -- Experience and geometry -- Classical mechanics -- Relative and absolute motion -- Energy and thermodynamics -- Hypotheses in physics -- Theories of modern physics -- Probability calculus -- Optics and electricity -- Electrodynamics -- The end of matter.

La logique de l'infini (Texte de juillet 1909)--La morale et la science.--L'évolution des lois.--Les rapports de la matière et de l'éther.--La logique de l'infini; (Texte du 3 mai 1912)--L'espace et le temps.--L'hypothèse des quanta.--L'union pour l'éducation morale.--Pourquoi l'espace a trois dimensions.--Appendice: Les fondements de la géométrie. Cornot et les principes du calcul infinitésimal. Le libre examen en matière scientifique. Le démon d'Arrhénius.

Le savant et la science -- Le raisonnement mathématique -- La mécanique nouvelle -- La science astronomique.

During his lifetime, Henri Poincaré published three major philosophical books which achieved great success: "La science et l'hypothèse" (1902), "La valeur de la science" (1905) and "Science et méthode" (1908). After his death in 1913, a fourth volume of his philosophical works was published by his heirs as "Dernières pensées" (1913). The four books constitute the core of Poincaré's philosophic works and were given an ovation by scientific and general public. Around 1919, Gustave Le Bon wrote to (...) class='Hi'>Poincaré's widow. As the director of the "Bibliothèque de Philosophie Scientifique at Flammarion", he asked her permission to publish a second posthumous volume. "L'Opportunisme scientifique" was intended to be the fifth and final volume of Poincaré's philosophical writings. Louis Rougier had elaborated the project, with the collaboration of Gustave Le Bon, and the approval of the philosopher Émile Boutroux and his son Pierre. Because of the reservations of the mathematician's heirs, this book was never published and Dernières pensées remained his last philosophical book. Nevertheless Poincaré's correspondence - which is kept in the Poincaré Archives at University Nancy 2 - contains a large amount of documents concerning the project, its justification and the discussions between Louis Rougier and the mathematician's heirs. The aim of this book is to restore this episode, which gives some crucial informations about editorial practices of Poincaré and about the posterity of his philosophic thinking. (shrink)