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The Metaphysical Principles of the Infinitesimal Calculus

The Metaphysical Principles of the Infinitesimal Calculus PDF Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588129
Category : Mathematics
Languages : en
Pages : 158

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.

The Metaphysical Principles of the Infinitesimal Calculus

The Metaphysical Principles of the Infinitesimal Calculus PDF Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588129
Category : Mathematics
Languages : en
Pages : 158

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.

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis PDF Author: Lazare Carnot
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 150

Book Description


Reflexions on the Metaphysical Principles of the Infinitesimal Analysis ... Translated by the Rev. W. R. Browell

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis ... Translated by the Rev. W. R. Browell PDF Author: Lazare Nicolas Marguerite CARNOT (Count.)
Publisher:
ISBN:
Category :
Languages : en
Pages : 158

Book Description


The Metaphysical Principles of the Infinitesimal Calculus

The Metaphysical Principles of the Infinitesimal Calculus PDF Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588082
Category : Mathematics
Languages : en
Pages : 164

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.

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis PDF Author: Lazare Carnot
Publisher: Andesite Press
ISBN: 9781298721525
Category :
Languages : en
Pages : 148

Book Description
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.

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis

Reflexions on the Metaphysical Principles of the Infinitesimal Analysis PDF Author: Lazare Carnot
Publisher:
ISBN: 9780371913277
Category :
Languages : en
Pages : 156

Book Description
This is a reproduction of the original artefact. Generally these books are created from careful scans of the original. This allows us to preserve the book accurately and present it in the way the author intended. Since the original versions are generally quite old, there may occasionally be certain imperfections within these reproductions. We're happy to make these classics available again for future generations to enjoy!

The Continuous and the Infinitesimal in Mathematics and Philosophy

The Continuous and the Infinitesimal in Mathematics and Philosophy PDF Author: John Lane Bell
Publisher: Polimetrica s.a.s.
ISBN: 8876990151
Category : Mathematics
Languages : en
Pages : 354

Book Description


De Motu and the Analyst

De Motu and the Analyst PDF Author: G. Berkeley
Publisher: Springer Science & Business Media
ISBN: 9401125929
Category : Computers
Languages : en
Pages : 235

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.

The Great Triad

The Great Triad PDF Author: René Guénon
Publisher: Sophia Perennis
ISBN: 9780900588402
Category : Religion
Languages : en
Pages : 192

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.

Elements of Infinitesimal Calculus

Elements of Infinitesimal Calculus PDF Author: Joseph Bayma
Publisher: Createspace Independent Publishing Platform
ISBN: 9781541308923
Category :
Languages : en
Pages : 284

Book Description
From the PREFACE. The present treatise, as its title points out, has been based on the principles of the infinitesimal method. I think that this method, besides being > the simplest of all for teaching Calculus, as all admit, is also the most consistent and philosophical. Some modern writers, indeed, have tried to discredit it; but, when we examine their reasonings, we soon discover that they have done so because they have failed to grasp the true nature of infinitesimal quantities. This I have endeavored to show in my introduction to this work, where ihe reader will find not only what I believe to be the exact notion of the infinitesimal, but also a hint at the grounds (elsewhere developed) upon which the infinitesimal method rests its claim to be preferred to its fashionable rival, the method of limits. This work being intended for young men who are supposed to devote a considerable part of their time to the study of mental and of natural philosophy, it has been necessary to limit its developments by giving less prominence to the analytical than to the practical portion of it. But, while anxious not to overtax our young people, I have nevertheless collected and condensed all that seemed to be of practical use in this branch of study; and, though I have made it a point to be concise, I have constantly endeavored to make all things as plain as the subject matter permitted. I hope that the average student will need only a moderate effort to understand the object and the processes of differentiation and of integration as laid down in this treatise; though, as to integration, his success will often depend also on his endurance of analytical work. To assist him in the performance of this task, I have developed a sufficient number of geometrical and of mechanical problems, together with some fundamental notions of rational mechanics, which were indispensable, and which will serve as an introduction to the regular study of this latter science. -J. B.