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This text considers the applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression. ... Read more

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THE great Plato, in the tenth book of his Laws, compels. us, by adamantine arguments, as it were, to confess that Providence has an existence; and also eisewhere in many places, as in the Timreus, he shows a that the Demiurgus has elaborated the fabrication of things, by his providential energies, as far as to the last portion of intelligence, and this 11e likewise clearly asserts. But it is requisite that we should be persuaded by what Plato has demonstrated, and by the most efficacious attestations given by the [ChaldeanJ oracles to the demonstrations of Plato. For I conceive that this tradition of the oracles to the worthy auditors of the Gods, is · a most manifest demonstration of the existence of Providence, in answer to whatever a In the version of Morbeka ostendes; for which it is necessary to read osten dens.

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1820. Other volumes in this set include ISBN number(s): 0766126625. Volume two of a two volume set. (This description is for all volumes.) In five books; Containing a Treasury of Pythagoric and Platonic Physiology. This is the most prized book on esoteric sciences, Neoplatonism, root of hermetics, and Tibetan Buddhism. Highly quoted by Manly P. Hall, and Blavatsky. Very scarce and now ready to be in your private library! In two volumes. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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Subtitle: To Which a Seventh Book Is Added, in Order to Supply the Deficiency of Another Book on This Subject, Which Was Written by Proclus, but Since Lost. Also, a Translation From the Greek of Proclus' Elements of Theology. to Which Are Added a Translation of the Treatise of Proclus, on Providence and Fate; a Translation of Extracts From His Treatise, Entitled, Ten Doubts Concerning Providence; and a Translation of Extracts From His Treatise on the Subsistence of Evil; as Preserved in the Bibliotheca GrGeneral Books publication date: 2009Original publication date: 1816Original Publisher: Printed for the author, by A. J. ValpySubjects: Philosophy / History ... Read more

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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:partial conceptions, and the enunciative or unfolding into light. But from the Socratic philanthropy, the sociable, the mild, the demonstrative, the contemplating beings through images, the ethical, and every thing of this kind. Hence it is a venerable dialogue ; forms its conceptions supernally from the first principles ; and mingles the demonstrative with the enunciative. It also prepares us to understand physics, not only physically, but likewise theologically. For Nature herself who is the leader of the universe, being suspended from, and inspired by the Gods, governs the corporeal-formed essence. And she neither ranks as a Goddess, nor is without a divine peculiarity, but is illuminated by the truly-existing Gods.If, likewise, it be requisite that discourses should be assimilated to the things of which they are the interpreters, as Timaeus himself says, it will be fit that this dialogue also should have the physical, and should also have the theological ; imitating nature, which is the object of its contemplation. Farther still, according to the Pythagoric doctrine, things receive a threefold division into intelligibles, things physical, and such as are the media between these, and which are usually called mathematical. But all things may be appropriately surveyed in all. For such things as are media, and such as are last, presubsist in intelligibles after a primordial manner, and both these subsist in the mathematical genera; first natures indeed iconically, but such as rank as the third, paradigmatically. In physical entities, also, there are images of the essences prior to them. This, therefore, being the case, Timseus, when he constitutes the soul, very properly indicates its powers, its productive principles, and its elements through mathematical names. But Plato def... ... Read more

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"Proclus Lycaeus (February 8, 412 - April 17, 485), surnamed "The Successor" or "diadochos" was a Greek Neoplatonist philosopher, one of the last major Classical philosophers (see Damascius). He set forth one of the most elaborate and fully developed systems of Neoplatonism. He stands near the end of the classical development of philosophy, and was very influential on Western Medieval Philosophy (Greek and Latin) as well as Islamic thought." ... Read more

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Books I and II. Abridged Edition. R. Baine Harris, Old Dominion University. 146 Pages. Series ISBN 0960986669 ... Read more

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Subtitle: On the Theology of Plato, Trans. From the Greek; to Which a Seventh Book Is Added, in Order to Supply the Deficiency of Another Book on This Subject, Which Was Written by Proclus, but Since LostGeneral Books publication date: 2009Original publication date: 1816Original Publisher: s.n.Subjects: PlatonistsPhilosophy / History ... Read more

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Chapters: Pythagoras, Apollonius of Tyana, Plutarch, Empedocles, Plotinus, Proclus, Xenocrates, Porphyry, Sotion. Source: Wikipedia. Pages: 108. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Pythagoras of Samos (Greek: , O Pythagoras o Samios, "Pythagoras the Samian", or simply ; c. 570-c. 495 BC ) was an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism. Most of our information about Pythagoras was written down centuries after he lived, thus very little reliable information is known about him. He was born on the island of Samos, and may have travelled widely in his youth, visiting Egypt and other places seeking knowledge. Around 530 BC, he moved to Croton, a Greek colony in southern Italy, and there set up a religious sect. His followers pursued the religious rites and practices developed by Pythagoras, and studied his philosophical theories. The society took an active role in the politics of Croton, but this eventually led to their downfall. The Pythagorean meeting-places were burned, and Pythagoras was forced to flee the city. He is said to have ended his days in Metapontum. Pythagoras made influential contributions to philosophy and religious teaching in the late 6th century BC. He is often revered as a great mathematician, mystic and scientist, and he is best known for the Pythagorean theorem which bears his name. However, because legend and obfuscation cloud his work even more than with the other pre-Socratic philosophers, one can say little with confidence about his teachings, and some have questioned whether he contributed much to mathematics and natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Whether or not his disciples believed that everything was r...More: http://booksllc.net/?id=23275 ... Read more

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In one of the most original books of late antiquity, Philoponus argues for the Christian view that matter can be created by God out of nothing. It needs no prior matter for its creation. At the same time, Philoponus transforms Aristotle's conception of prime matter as an incorporeal 'something - I know not what' that serves as the ultimate subject for receiving extension and qualities. On the contrary, says Philoponus, the ultimate subject is extension. It is three-dimensional extension with its exact dimensions and any qualities unspecified. Moreover, such extension is the defining characteristic of body. Hence, so far from being incorporeal, it is body, and as well as being prime matter, it is form - the form that constitutes body. This uses, but entirely disrupts, Aristotle's conceptual apparatus. Finally, in Aristotle's scheme of categories, this extension is not to be classified under the second category of quantity, but under the first category of substance as a substantial quantity. ... Read more

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The 18th century was a wealth of knowledge, exploration and rapidly growing technology and expanding record-keeping made possible by advances in the printing press. In its determination to preserve the century of revolution, Gale initiated a revolution of its own: digitization of epic proportions to preserve these invaluable works in the largest archive of its kind. Now for the first time these high-quality digital copies of original 18th century manuscripts are available in print, making them highly accessible to libraries, undergraduate students, and independent scholars.
The Age of Enlightenment profoundly enriched religious and philosophical understanding and continues to influence present-day thinking. Works collected here include masterpieces by David Hume, Immanuel Kant, and Jean-Jacques Rousseau, as well as religious sermons and moral debates on the issues of the day, such as the slave trade. The Age of Reason saw conflict between Protestantism and Catholicism transformed into one between faith and logic -- a debate that continues in the twenty-first century.
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The below data was compiled from various identification fields in the bibliographic record of this title. This data is provided as an additional tool in helping to insure edition identification:
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British Library

T143303

Titlepage to vol.2 reads: 'The philosophical and mathematical commentaries of Proclus, on the first book of Euclid's elements. To which are added, a history of the restoration of the Platonic theology, by the latter Platonists: and a translation from the

London : printed for the author: and sold by T. Payne and Son; B. White and Son; L. Davis; J. Robson; T. Cadell; Leigh and Co. G. Nicol; R. Faulder; and T. and J. Egerton, 1788-89. 2v. : ill. ; 4° ... Read more

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INTRODUCTION Proclus, the famous philosopher, mathematician and poet, came into the world of time and sense on the 8th. clay of February, A. 1J>. 410, at Byzantium, and migrated from this physical life on April the 17th. 485 A. D.1 His parents, Patricius and Marcella, were Lyci-ans and of an illustrious family. Me was taken immediately after his birth to their native country, to the city of Xanthus, which was consecrated to Apollo. And this happened to him by a certain divine providence: for it was necessary thai he who was to be the leader of all sciences should be educated under the presiding Deity of the Muses. fie received his elementary education in Lycia, and then went to Alexandria, in Egypt, and became a pupil of Leonas ihe rhetorician, and Orion the grammarian. Me likewise attended the schools of the Roman teachers, and acquired an accurate knowledge of the Latin hmguage. Hut his tutelar Goddess exhorted him to stud) philosophy, and to go to the Athenian schools. In obedience

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Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the difficult to read text. Read books online for free at www.forgottenbooks.org ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more

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Chapters: 410 Births, 411 Births, 412 Births, 415 Births, 418 Births, 419 Births, Valentinian Iii, Proclus, Euric, Emperor Yūryaku, Severinus of Noricum, Empress Dowager Lu Huinan, Peter the Iberian, Glywys. Source: Wikipedia. Pages: 44. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Proclus Lycaeus (8 February 412 17 April 485 AD), called "The Successor" or "Diadochos" (Greek Próklos ho Diádokhos), was a Greek Neoplatonist philosopher, one of the last major Classical philosophers (see Damascius). He set forth one of the most elaborate and fully developed systems of Neoplatonism. He stands near the end of the classical development of philosophy, and was very influential on Western medieval philosophy (Greek and Latin) as well as Islamic thought. "Wherever there is number, there is beauty."Proclus, quoted by M. Kline, Mathematical Thought from Ancient to Modern Times Proclus was born Feb. 8, 412 AD (his birth date is deduced from a horoscope cast by a disciple, Marinus) in Constantinople to a family of high social status in Lycia (his father Patricius was a high legal official, very important in the Byzantine Empire's court system) and raised in Xanthus. He studied rhetoric, philosophy and mathematics in Alexandria, with the intent of pursuing a judicial position like his father. Before completing his studies, he returned to Constantinopole when his rector, his principal instructor (one Leonas), had business there. Proclus became a successful practicing lawyer. However, the experience of the practice of law made Proclus realize that he truly preferred philosophy. He returned to Alexandria, and began determinedly studying the works of Aristotle under Olympiodorus the Elder (he also began studying mathematics during this period as well with a teacher named Heron- no relation to Hero of Alexan...More: http://booksllc.net/?id=24797 ... Read more