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Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588082
Category : Mathematics
Languages : en
Pages : 164
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Book Description
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.
Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588129
Category : Mathematics
Languages : en
Pages : 158
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Book Description
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.
Author: Lazare Carnot
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 150
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Book Description
Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588402
Category : Religion
Languages : en
Pages : 192
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Book Description
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.
Author: Efraín Soto Apolinar
Publisher: Efrain Soto Apolinar
ISBN:
Category : Mathematics
Languages : en
Pages : 263
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Book Description
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.
Author: Jonathan Torralba Torron
Publisher: The Metaphysical Compass Project
ISBN: 1738519619
Category : Religion
Languages : en
Pages : 462
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Book Description
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.
Author: G. Berkeley
Publisher: Springer Science & Business Media
ISBN: 9401125929
Category : Computers
Languages : en
Pages : 235
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Book Description
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.
Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 565
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Book Description
Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588167
Category : Body, Mind & Spirit
Languages : en
Pages : 140
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Book Description
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. Traditional Forms and Cosmic Cycles is a wide-ranging collection of articles that could just as well have been called Fragments of an Unknown History. Although they must remain fragments, as Guénon did not return to many of these themes again, it would have been regrettable to leave such fascinating articles buried in old journals, and so this posthumous collection is now offered to Anglophone readers for the first time. The book opens with the key article 'The Doctrine of Cosmic Cycles', followed by two pieces on Atlantis and Hyperborea. Two sections follow, concerned respectively with the Hebrew Tradition and the Egyptian Tradition. The former comprises five articles concerned primarily with the Kabbalah and the Science of Numbers, and the latter includes three articles on Hermes and the Hermetic Tradition. Book reviews are inserted at relevant points. To lend the collection coherence, no other spiritual Traditions are here represented. A list of the Collected Writings of René Guénon has been provided for those who wish to investigate Guénon's metaphysical expositions on such topics as Christianity, Islam, the Greco-Latin Traditions, Celtism, etc.
Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588655
Category : Reference
Languages : en
Pages : 176
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Book Description
The Symbolism of the Cross is a major doctrinal study of the central symbol of Christianity from the standpoint of the universal metaphysical tradition, the 'perennial philosophy' as it is called in the West. As Guernon points out, the cross is one of the most universal of all symbols and is far from belonging to Christianity alone. Indeed, Christians have sometimes tended to lose sight of its symbolism of its symbolical significance and to regard it as no more than the sign of a historical event. By restoring to the full spiritual value as a symbol, but without in any way detracting from its historical importance for Christianity, Guenon has performed a task of inestimable importance which perhaps only he, with his unrivaled knowledge of the symbolic languages of both East and West, was qualified to perform.
Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588808
Category : Religion
Languages : en
Pages : 362
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Book Description
Since the late nineteenth century, the Theosophical Society has been a central force in the movement now known as the New Age. Just as the Communist Party was considered 'old hat' by peace activists in the '60s, so the Theosophical Society was looked upon by many in the 'spiritual revolution' of those years as cranky, uninteresting, and passé. But the Society, like the Party, was always there, and-despite its relatively few members-always better organized than anybody else. Since then, the Society's influence has certainly not waned. It plays an important role in today's global interfaith movement, and, since the flowering of the New Age in the '70s, has established increasingly intimate ties with the global elites. And its various spinoffs, such as Elizabeth Clare Prophet's Summit Lighthouse, and Benjamin Crème's continuing attempt to lead a 'World Teacher Maitreya' onto the global stage-just as the Society tried to do in the last century with Krishnamurti-continue to send waves through the sea of 'alternative' spiritualities. Guénon shows how our popular ideas of karma and reincarnation actually owe more to Theosophy than to Hinduism or Buddhism, provides a clear picture of the charlatanry that was sometimes a part of the Society's modus operandi, and gives the early history of the Society's bid for political power, particularly its role as an agent of British imperialism in India. It is fitting that this work should finally appear in English just at this moment, when the influence of pseudo-esoteric spiritualities on global politics is probably greater than ever before in Western history.
