The structure of ordinals of the form ωωβ for countable β is studied. The main result is:Theorem 1If β<ω1 is the sum of one or two indecomposable ordinals, thenωωβ→2. Also an example is given to show that α→2 need not imply α→2 for all n<ω.

I have always considered that the two questions respecting God and the Soul were the chief of those that ought to be demonstrated by philosophical rather than ...

In Descartes's Meditations, one of the key texts of Western philosophy, the thinker rejects all his former beliefs in the quest for new certainties. Discovering his own existence as a thinking entity in the very exercise of doubt, he goes on to prove the existence of God, who guarantees his clear and distinct ideas as a means of access to the truth. He develops new conceptions of body and mind, capable of serving as foundations for the new science of nature. (...) Subsequent philosophy has grappled with Descartes's legacy, questioning many of its conclusions and even his basic approach, but his arguments set the agenda for many of the greatest philosophical thinkers, and their fascination endures.This new translation includes the Third and Fourth Objections and Replies in full, and a selection from the rest of Descartes's exchanges with contemporaries that helped to shape and expound his philosophy. (shrink)

This edition contains Donald Cress's completely revised translation of the Meditations (from the corrected Latin edition) and recent corrections to Discourse on Method, bringing this version even closer to Descartes's original, while maintaining the clear and accessible style of a classic teaching edition.

Compiles the essays of Descartes, the seventeenth-century philosopher who rejected Greek and medieval scholasticism.

One of the foundation-stones of modern philosophy Descartes was prepared to go to any lengths in his search for certainty—even to deny those things that seemed most self-evident. In his Meditations of 1641, and in the Objections and Replies that were included with the original publication, he set out to dismantle and then reconstruct the idea of the individual self and its existence. In doing so, Descartes developed a language of subjectivity that has lasted to this day, and he also (...) took his first steps towards the view that would eventually be expressed in the epigram Cogito, ergo sum ("I think, therefore I am"), one of modern philosophy's most famous—and most fiercely contested—claims. The first part of a two-volume edition of Descartes' works in Penguin Classics, the second of which is Discourse on Method & Related Writings. For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators. (shrink)

'I concluded that I was a substance whose whole essence or nature resides only in thinking, and which, in order to exist, has no need of place and is not dependent on any material thing.' Descartes's A Discourse on the Method of Correctly Conducting One's Reason and Seeking Truth in the Sciences marks a watershed in European thought; in it, the author provides an informal intellectual autobiography in the vernacular for a non-specialist readership, sweeps away all previous philosophical traditions, and (...) sets out in brief his radical new philosophy, which begins with a proof of the existence of the self, next deduces from it the existence and nature of God, and ends by offering a radical new account of the physical world and of human and animal nature. This new translation is accompanied by a substantial introductory essay which draws on Descartes's correspondence to examine his motivation and the impact of his great work on his contemporaries. Detailed notes explain his philosophical terminology and ideas. ABOUT THE SERIES: For over 100 years Oxford World's Classics has made available the widest range of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, helpful notes to clarify the text, up-to-date bibliographies for further study, and much more. (shrink)

These two volumes provide a translation of the philosophical works of Descartes, based on the best available Latin and French texts. They are intended to replace the only reasonably comprehensive selection of his works in English, by Haldane and Ross, first published in 1911. All the works included in that edition are translated here, together with a number of additional texts crucial for an understanding of Cartesian philosophy, including important material from Descartes' scientific writings. The result should meet the widespread (...) demand for an accurate and authoritative edition of Descartes' philosophical writings in clear and readable modern English. (shrink)

This work was originally published anonymously.

'Those most capable of being moved by passion are those capable of tasting the most sweetness in this life.'Descartes is most often thought of as introducing a total separation of mind and body. But he also acknowledged the intimate union between them, and in his later writings he concentrated on understanding this aspect of human nature. The Passions of the Soul is his greatest contribution to this debate. It contains a profound discussion of the workings of the emotions and of (...) their place in human life - a subject that increasingly engages the interest of philosophers and intellectual and cultural historians. It also sets out a view of ethics that has been seen as a radical reorientation of moral philosophy.This volume also includes both sides of the correspondence with Princess Elisabeth of Bohemia, one of Descartes's keenest disciples and shrewdest critics, which played a crucial role in the genesis of The Passions, as well as the first part of The Principles of Philosophy, which sets out the key positions of Descartes's philosophical system.ABOUT THE SERIES: For over 100 years Oxford World's Classics has made available the widest range of literature from around the globe. Each affordable volume reflects Oxford's commitment to scholarship, providing the most accurate text plus a wealth of other valuable features, including expert introductions by leading authorities, helpful notes to clarify the text, up-to-date bibliographies for further study, and much more. (shrink)

Daß Descartes – im Anschluß an den "Discours de la méthode" (1637) und die "Meditationes de prima philosophia" (1641) – mit der Veröffentlichung der "Principia" die Zäsur setzte, die seinen Rang als erster Denker der "Philosophie der Neuzeit" begründete, ist ein Topos der Philosophiegeschichte. Uneinigkeit besteht aber bis heute unter den Biographen und Interpreten über die Frage, ob Descartes selbst sich dessen bewußt war, daß alle Aussagen bzw. Erkenntnisse über das Geschehen in der Natur notwendig hypothetisch bleiben (unter metaphysischem Aspekt) (...) und dennoch (sofern methodisch gewonnen) die Wirklichkeit treffen und berechenbar machen. Oder ob er in den "Principia" nur deshalb darauf verfiel, alle seine Aussagen über die Prinzipien der körperlichen Dinge, die sichtbare Welt und die Erde in bloß hypothetischer Form vorzutragen, um der Verfolgung durch die Inquisition zu entgehen. Diese neue, zweisprachige Ausgabe der philosophiegeschichtlich Epoche machenden Schrift bietet neben dem lateinischen Originaltext und der völlig neu erstellten, terminologischen Unterscheidungen genau Rechnung tragenden Übersetzung erstmals auch eine umfassende Erschließung der von Descartes herangezogen Quellen, d. i. der zeitgenössischen Publikationen zur Untersuchung von Naturphänomenen, die wir heute – seit Descartes – als physikalische oder naturwissenschaftliche Untersuchungen einordnen können. (shrink)

Die Neuausgabe der "Meditationen" über die Erste Philosophie bietet das Hauptwerk Descartes' in einer durchgängig neuen deutschen Übersetzung. Sie erhebt erstmals die Einheitlichkeit der Terminologie zum leitenden Kriterium und erfüllt damit ein echtes Desiderat für den anspruchsvollen Leser. In den "Meditationes de prima philosophia" (1642) geht es Descartes um eine neue Grundlegung der Metaphysik. Dieser Neuanfang in der Philosophie, den Descartes wie wohl kaum ein anderer propagiert und durchführt, hat jedoch einen konservativen Zug: Gerade Descartes besteht darauf, daß seine Philosophie (...) die älteste ist, die es überhaupt geben kann, und diese Aussage hat nur Sinn, wenn Metaphysik als Rekonstruktion der ursprünglichen Fragen verstanden wird, die anfänglich das philosophische und insbesondere metaphysische Geschäft ins Rollen gebracht hatten. Mit Descartes beginnt deshalb nicht etwa nur jenes systematische Philosophieren, dem es um die Beantwortung der Fragen selbst geht, sondern auch ein Philosophieren, das die Behandlung der Fragen selbst in der Auseinandersetzung und mit dem Material jener Positionen vollzieht, die es zu überwinden versucht. Die zentrale Innovation der Meditationen liegt also weder in der bloß scheinbaren Unabhängigkeit von aller vorherigen Metaphysik, noch in einer neuen Terminologie, sondern in einer völligen Neuordnung des vorhandenen Materials. Descartes agiert souverän in der Terminologie des Aristoteles und der scholastischen Metaphysik, greift nicht weniger souverän die Themen dieser Tradition auf und fügt sie zu einem völlig neuen Gebäude zusammen. Das Neue an Descartes' Metaphysik ist, daß er mit der hergebrachten Metaphysik agiert, nicht in ihr. (shrink)

Cet exposé comporte deux parties: la première rappelle comment Ferdinand Gonseth comprenait ce terme de Référentiel qu'il avait auparavant introduit. La deuxième s'efforcera de préciser quelque peu cette notion par une interprétation topologico‐dynamique.

Our estimation of art works we sometimes express by calling them felicitous. This ascription is problematic since the criteria are not governed by descriptive properties but by possible ascriptions. Thus, some problems result for an aesthetic realist concerning the provability of an artwork’s felicitousness and the validity of this judgement. An artwork’s status as a felicitous one depends not only on descriptive criteria with cognitive force to agree with this judgement. Rather, this ascription takes place on a background of a (...) communicatively anchored aesthetical acceptance. (shrink)