Download or read book The Metaphysical Principles of the Infinitesimal Calculus written by René Guénon and published by Sophia Perennis. This book was released on 2003 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: René Guénon (1886-1951) is undoubtedly one of the luminaries of the twentieth century, whose critique of the modern world has stood fast against the shifting sands of recent philosophies. His oeuvre of 26 volumes is providential for the modern seeker: pointing ceaselessly to the perennial wisdom found in past cultures ranging from the Shamanistic to the Indian and Chinese, the Hellenic and Judaic, the Christian and Islamic, and including also Alchemy, Hermeticism, and other esoteric currents, at the same time it directs the reader to the deepest level of religious praxis, emphasizing the need for affiliation with a revealed tradition even while acknowledging the final identity of all spiritual paths as they approach the summit of spiritual realization. Guénon's early and abiding interest in mathematics, like that of Plato, Pascal, Leibnitz, and many other metaphysicians of note, runs like a scarlet threat throughout his doctrinal studies. In this late text published just five years before his death, Guénon devotes an entire volume to questions regarding the nature of limits and the infinite, both with respect to the calculus as a mathematical discipline, and to the symbolism of the initiatic path. This book therefore extends and complements the geometrical symbolism Guénon employs in several of his other works, especially The Symbolism of the Cross, The Multiple States of the Being, and Symbols of Sacred Science. A sampling of chapter titles will convey some sense of this remarkable work: 'Infinite and Indefinite', 'Degrees of Infinity', 'Zero is not a Number', 'The Law of Continuity', 'Vanishing Quantities', 'Various Orders of Indefinitude', 'The Arguments of Zeno of Elea', 'The True Conception of Passage to the Limit'. The Collected Works of René Guénon brings together the writings of one of the greatest prophets of our time, whose voice is even more important today than when he was alive. Huston Smith, author of The World's Religions, etc.
Download or read book The Metaphysical Principles of the Infinitesimal Calculus written by René Guénon and published by Sophia Perennis. This book was released on 2003 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Guénon's early and abiding interest in mathematics, like that of Plato, Pascal, Leibnitz, and many other metaphysicians of note, runs like a scarlet thread throughout his doctrinal studies. In this late text published just five years before his death, Guénon devotes an entire volume to questions regarding the nature of limits and the infinite with respect to the calculus both as a mathematical discipline and as symbolism for the initiatic path. This book therefore extends and complements the geometrical symbolism he employs in other works, especially The Symbolism of the Cross, The Multiple States of the Being, and Symbols of Sacred Science. According to Guénon, the concept 'infinite number' is a contradiction in terms. Infinity is a metaphysical concept at a higher level of reality than that of quantity, where all that can be expressed is the indefinite, not the infinite. But although quantity is the only level recognized by modern science, the numbers that express it also possess qualities, their quantitative aspect being merely their outer husk. Our reliance today on a mathematics of approximation and probability only further conceals the 'qualitative mathematics' of the ancient world, which comes to us most directly through the Pythagorean-Platonic tradition.
Download or read book The Great Triad written by René Guénon and published by Sophia Perennis. This book was released on 2004-05 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Triad of the Chinese tradition is Heaven-Man-Earth. René Guénon places this ternary in the context of universal metaphysics by identifying Heaven with Essence and Earth with Substance, the mediator between them being Man, whose cosmic function is to embody spirit (Heaven) while simultaneously spiritualizing matter (Earth). Exploring Chinese cosmology further, Guénon sheds light on such archetypal polarities as Heaven and Earth, Yin and Yang, Solve et Coagula, Celestial and Terrestrial Numbers, the Square and the Compass, the Double Spiral, and the Being and the Environment, while pointing to their synthetic unity in terms of ternaries, such as the Three Worlds, Triple Time, Spiritus, Anima, and Corpus, Sulfur, Mercury and Salt, and God, Man, and Nature. Perhaps more completely than in any other work, Guénon demonstrates in The Great Triad how any integral tradition is both a mirror reflecting universal themes found in all other intact traditions and an entire conceptual cosmos unto itself, unique and incomparable.
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis written by Lazare Carnot and published by . This book was released on 1832 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis Translated by the Rev W R Browell written by Lazare Nicolas Marguerite CARNOT (Count.) and published by . This book was released on 1832 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reflexions on the Metaphysical Principles of the Infinitesimal Analysis written by Lazare Carnot and published by . This book was released on 1832 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus with infinitesimals written by Efraín Soto Apolinar and published by Efrain Soto Apolinar. This book was released on 2020-06-30 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the most important ideas of calculus and its applications. An emphasis is placed on the use of infinitely small quantities (i.e., infinitesimals), which were used in the creation of this branch of mathematics. The goal of the author is to provide a smoother transition to the understanding of the ideas of infinitesimal quantity, derivative, differential, antiderivative, and the definite integral. In order to give the reader an easier approach to learning and understanding these ideas, the same justifications given by the creators of the calculus are explained in this book. The justification of the formulas to compute derivatives is deduced according to its historical genesis with the use of the idea of infinitesimal as stated by Leibniz. Also, the justification of the formulas for antiderivatives is explained in detail. Some applications of the calculus are also covered, among them, extreme values of functions, related rates, arc length, area of regions in the plane, volume, surface area, mass, the center of mass, the moment of inertia, hydrostatic pressure, work, and several more. Mathematical rigor is not emphasized in this work, but instead, the meaning of the concepts and the understanding of the mathematical procedures in order to prepare the reader to apply the calculus in different contexts, among them: geometry, physics, and engineering problems. To motivate more teachers and students to use this book, the topics covered have been arranged according to most of the traditional calculus courses. However, because the theory of limits and the definitions of the ideas of calculus based on limits, were created many years later by Cauchy and Weierstrass, the limits and some related ideas (like continuity and differentiability) are not detailed covered.
Download or read book The Principles of Mathematics written by Bertrand Russell and published by . This book was released on 1903 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book De Motu and the Analyst written by G. Berkeley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
Download or read book The Biographical Encyclopedia of Islamic Philosophy written by Oliver Leaman and published by Bloomsbury Publishing. This book was released on 2015-07-16 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophy flourished in the Islamic world for many centuries, and continues to be a significant feature of cultural life today. Now available in paperback, The Biographical Encyclopedia of Islamic Philosophy covers all the major and many minor philosophers, theologians, and mystics who contributed to its development. With entries on over 300 thinkers and key concepts in Islamic philosophy, this updated landmark work also includes a timeline, glossary and detailed bibliography. It goes beyond philosophy to reference all kinds of theoretical inquiry which were often linked with philosophy, such as the Islamic sciences, grammar, theology, law, and traditions. Every major school of thought, from classical Peripatetic philosophy to Sufi mysticism, is represented, and entries range across time from the early years of the faith to the modern period. Featuring an international group of authors from South East Asia, the Indian Subcontinent, the Middle East and North Africa, Europe and North America, The Biographical Encyclopedia of Islamic Philosophy provides access to the ideas and people comprising almost 1400 years of Islamic philosophical tradition.
Download or read book The Metaphysical Compass written by Jonatan Torralba Torron and published by The Metaphysical Compass Project. This book was released on 2024-08-12 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth analysis of the different worldviews available to us in today's world, their underlying metaphysics, and the symbolism they use to convey their doctrines. The Metaphysical Compass is an exercise in both analysis and synthesis, delving deeply into complex religious and philosophical issues while providing summarized access to vast amounts of information that is difficult for non-specialists to access. It is based on the incontrovertible premise that, especially after the globalization of knowledge, we find ourselves in a highly complex world in which different incompatible worldviews uneasily coexist. To guide us in our search, the book focuses on the metaphysical answers underlying the different worldviews available to us, whether religious, mystical, esoteric, philosophical, or scientific. It also stresses the importance of symbolism in transmitting these doctrines, and its undeniable and growing prevalence in today's mass media and popular culture. The Metaphysical Compass was designed as an enjoyable synthesis capable of conveying a large amount of information in a visual and summarized, but not dumbed down, way. Furthermore, the book contains plenty of hyperlinks (digital editions) and notes through which those interested can expand their knowledge on specific topics. It is an ideal book for those with little time to investigate and confront the great questions of life. Also for those interested in discovering all the possible solutions to the oldest philosophical question of all, which lies at the core of each and every worldview: the conflict between the One and the Many. The Metaphysical Compass includes: .: A massive repository of knowledge (both ancient and modern), highly structured and profusely illustrated, designed to clear up all your metaphysical doubts and guide you in navigating the complexities of the modern world and its myriad worldviews. .: A comparative table with the 41 main current worldviews, in which their particularities are described, their main symbols discussed, and their central metaphysical beliefs defined, compared, and categorized. .: 15 summary diagrams that explain the complete argument of the book in a clear and pleasant visual way. .: Graphics highlighting the prevalence of certain recurrent metaphysical doctrines in modern popular culture.
Download or read book Prophet for a Dark Age written by Graham Rooth and published by Liverpool University Press. This book was released on 2008-03-14 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rene Guenon is a major figure for anyone who recognises a need to rediscover the spiritual roots from which Western society has become so comprehensively alienated. Immersing himself in the search for spiritual truth, he chose Islam as the vehicle for his spiritual life.
Download or read book From the Calculus to Set Theory 1630 1910 written by I. Grattan-Guinness and published by Princeton University Press. This book was released on 2020-10-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H. J. M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Møller-Pedersen.
Download or read book Initiation and Spiritual Realization written by René Guénon and published by Sophia Perennis. This book was released on 2004-05 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initiation and Spiritual Realization is the closest thing to a work on 'spiritual direction' René Guénon ever wrote, touching as it does upon such vital topics as the transmission of initiatic grace, the various types and functions of the spiritual master, obstacles the aspirant is likely to encounter, different modes of contemplation, and the degrees of spiritual realization. A companion volume to Perspectives on Initiation, where Guénon had defined the nature of initiation and of the organizations qualified to transmit it, Initiation and Spiritual Realization was the first thematic collection of Guénon's articles to appear after his death. And one doctrine expressed in this book stands out as particularly timely: that esoterism is not and cannot be a religion in itself, since to take it as such is to reduce it to an 'alternative' exoterism, and a heterodox one at that. Initiatic esoterism can only be legitimately and effectively practiced within the context of one of the established, revealed religions.
Download or read book Spiritual Authority and Temporal Power written by René Guénon and published by Sophia Perennis. This book was released on 2001 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spiritual Authority and Temporal Power is an analysis of cyclical manifestation, and more specifically of the relationship between royal and sacerdotal power. In accord with the Hindu doctrine of manvantaras and Plato's depiction of historical degeneration in the Republic, Guénon views history here as a series of 'revolts' of lower castes against the higher. The kshatriyas (warriors) revolt against the brahmins (priests), thus setting the stage for a revolt of the vaishyas (loosely, the bourgeoisie), as in the French revolution-and, finally, the shudras (the proletariat), as in the Russian revolution (which Guénon does not touch upon in this work). From one point of view, this is a progressive degeneration; from another it is entirely lawful, given the 'entropic' nature of manifestation itself. External, historical descent reflects an inner degeneration: knowledge (the celestial paradise) is eclipsed by heroic action (the terrestrial paradise), which is in turn overrun by the inertia and agitation of the passions. Yet the nadir of degeneration is also the point of renewal: the dawning of the Heavenly Jerusalem-spiritual Knowledge-which begins a new cycle of manifestation.
Download or read book A New Treatise on the Elements of the Differential and Integral Calculus written by Horatio Nelson Robinson and published by . This book was released on 1871 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book History of Natural Philosophy from the Earliest Periods to the Present Time written by Baden Powell and published by . This book was released on 1837 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
