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Books > Philosophy > Western philosophy > Ancient Western philosophy to c 500 > General

A Companion to Marcus Aurelius (Hardcover): M van Ackeren A Companion to Marcus Aurelius (Hardcover)
M van Ackeren
R4,509 Discovery Miles 45 090 Ships in 12 - 17 working days

"A Companion to Marcus Aurelius" presents the first comprehensive collection of essays to explore all essential facets relating to contemporary Marcus Aurelius studies.

- First collection of its kind to commission new state-of-the-art scholarship on Marcus Aurelius- Features readings that cover all aspects of Marcus Aurelius, including source material, biographical information, and writings- Contributions from an international cast of top Aurelius scholars- Addresses evolving aspects of the reception of the "Meditations"

Words and Ideas - The Roots of Plato's Philosophy (Hardcover, New): Fritz-Gregor Herrmann Words and Ideas - The Roots of Plato's Philosophy (Hardcover, New)
Fritz-Gregor Herrmann
R1,927 Discovery Miles 19 270 Ships in 12 - 17 working days

Plato did not create his philosophy ex nihilo, but rather drew on four centuries of literary production in epic and lyric poetry, as well as on ethnography and historiography, tragedy and comedy, medical and mathematical research, oratory and rhetorical theory. "Words and Ideas" offers a study of Plato's philosophical language against this cultural background, retracing to their origins the history and development of the key terms of the Theory of Forms as presented in the phaedo. 'Form' or 'idea', 'essence' or 'being', 'participation', 'presence' and 'community' are among the terms investigated. The aim is to determine the precise historical and philosophical contexts on which Plato drew in the formulation of his thoughts. In tracing the roots of Plato's philosophy, "Words and Ideas" demarcates afresh Plato's position regarding the protagonists of pre-Socratic philosophy: Parmenides and the Eleatics, Anaxagoras and Diogenes of Apollonia, Leucippus and Democritus, Philolaus and the Pythagoreans. This identification of his sources allows us, in many cases for the first time, to judge what in the arguments of the dialogues is Plato's own contribution and what is there only as part of a philosophical or pre-philosophical inheritance.

Routledge Library Editions: Utopias - 6 Volume Set (Hardcover): Various Routledge Library Editions: Utopias - 6 Volume Set (Hardcover)
Various
R8,058 Discovery Miles 80 580 Ships in 12 - 17 working days

Routledge Library Editions: Utopias (6 volume set) contains titles, originally published between 1923 and 1982. It includes volumes focusing on Utopian fiction, both as a genre in its own right and also from a feminist perspective. In addition, there are sociological texts that examine the history of Utopian thought, from the writings of Plato and beyond, as well as specific examples of people who have tried to create Utopian communities.

Tao Te Ching (Hardcover): Lao Tzu Tao Te Ching (Hardcover)
Lao Tzu
R360 R293 Discovery Miles 2 930 Save R67 (19%) Ships in 10 - 15 working days
Byzantine Incursions on the Borders of Philosophy - Contesting the Boundaries of Nature, Art, and Religion (Hardcover, 1st ed.... Byzantine Incursions on the Borders of Philosophy - Contesting the Boundaries of Nature, Art, and Religion (Hardcover, 1st ed. 2019)
Bruce V. Foltz
R2,541 R2,330 Discovery Miles 23 300 Save R211 (8%) Ships in 12 - 17 working days

This book represents a series of incursions or philosophical forays between realms of Byzantine and Russian thought and territory long claimed by Western philosophy and theology. Beginning with thoughts inevitably rooted in the West, it seeks to penetrate as deeply as possible into Byzantine and Russian philosophical and spiritual landscapes, and to return with fresh insights. These are also incursions that move back and forth between the visible and the invisible realms, in the traditions of Plato and his successors as well as the great monastics of Eastern Christianity. Foltz argues from various perspectives that the problematic relation between transcendence and immanence finds its answer in the philosophical and theological legacy of Eastern Christian thought, which has always sought to bring together strands tenaciously held separate in the West. This book transports contemporary readers to an ancient conceptual landscape as it expertly handles both Western and Byzantine ideas with a familiarity unusual to contemporary scholars. It is essential reading for all those wishing to engage the heart of Byzantine thought and employ its lessons to address the problems which plague Western philosophy and culture.

The Evolution of the Euclidean Elements - A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early... The Evolution of the Euclidean Elements - A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry (Paperback, Softcover reprint of the original 1st ed. 1975)
W.R. Knorr
R11,651 Discovery Miles 116 510 Ships in 10 - 15 working days

The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus."

The Nicomachean Ethics - Translation with Commentaries and Glossary (Paperback, Softcover Repri): H. G. Apostle The Nicomachean Ethics - Translation with Commentaries and Glossary (Paperback, Softcover Repri)
H. G. Apostle
R1,598 Discovery Miles 15 980 Ships in 10 - 15 working days

The principles used in the translation of the Ethics are the same as those in the translations of the Physics and the Metaphysics, and their main function is to help the reader get Aristotle's meaning as accurately as possible. Briefly, they are principles of terminology and of thought, some of which will be repeated here. English terms common to all three translations have the same mean ings, with a few exceptions, and many terms proper to ethics are added. Many of the terms in the Glossary are defined or are made known dia lectically or in some other way. For the term 1tpOUiPEcrt~ the term 'inten tion' or the expression 'deliberate choice' will be used instead of the term 'choice', but the definition will be the same as that given in the Physics and the Metaphysics. Difficulties arise from some allied terms or terms close in meaning, e. g. , the terms UUAOC;, KUKOC;, ~OXeT\PO~, and 1tovT\p0C;, for the exact differences of their meanings are not ascertainable from the extant works. Each of these terms, however, seems to be used consistently, and we shall assume such consistency. The choice of the corresponding English terms can only be suggested by the usage of the Greek terms and by induction.

Vedantic Approaches to God (Hardcover): Eric Lott Vedantic Approaches to God (Hardcover)
Eric Lott
R2,955 Discovery Miles 29 550 Ships in 10 - 15 working days
Musings on the Meno (Paperback, Softcover reprint of the original 1st ed. 1980): J.E. Thomas Musings on the Meno (Paperback, Softcover reprint of the original 1st ed. 1980)
J.E. Thomas
R3,103 Discovery Miles 31 030 Ships in 10 - 15 working days

The objectives of this book are to provide a new translation of Plato's M eno together with a series of studies on its philcisophical argument in the light of recent secondary literature. My translation is based mainly on the Oxford Classical Text, 1. Burnet's Platonis Opera (Oxford Clarendon Press 1900) Vol. III. In conjunction with this I have made extensive use of R.S. Bluck's Plato's Meno (Cam bridge University Press, 1964). At critical places in the dialogue I have also consulted A. Croiset's Gorgias, Menon (Bude text). My debt o two other sources will be clearly in evidence. They are E.S. Thompson's Plato's Meno (London, MacMillan 1901), and St. George Stock's The Meno of Plato (Oxford Clarendon Press, 1894). One of the greatest difficulties facing a translator is to achieve a balance between accuracy and elegance. Literal translations are more likely to be accurate, but, alas, they also tend to be duller. Free translations run into the opposite danger of paying for elegance and liveliness with the coin of inaccuracy. Another hurdle, for a translator of a Platonic dialogue, is posed by the challenge to maintain the conversational pattern and fast moving character of the discussion. This is easier where the exchang s are short, but much more difficult where Socrates gets somewhat long-winded."

The Philosopher in Plato's Statesman (Hardcover, 1980 ed.): Mitchell H. Miller The Philosopher in Plato's Statesman (Hardcover, 1980 ed.)
Mitchell H. Miller
R3,056 Discovery Miles 30 560 Ships in 10 - 15 working days

others in his discipline tend not to bring their studies to bear on the substance of the dialogues. Conversely, philosophical interpreters have generally felt free to approach the extensive logical and ontological, cosmological, and political doctrines of the later dialogues without concern for questions of literary style s and form. Given, moreover, the equally sharp distinction between the diSCiplines of philosophy and cultural history, it has been too easy to treat this bulk of doctrine without a pointed sense of the specific historical audience to which it is addressed. As a result, the pervasive tendency has been the reverse of that which has dominated the reading of the early dialogues: here we tend to neglect drama and pedagogy and to focus exclusively on philosophical substance. Both in general and particularly in regard to the later dialogues, the difficulty is that our predispositions have the force of self-fulfilling prophecy. Are we sure that the later Plato's apparent loss of interest in the dramatic is not, on the contrary, a reflection of our limited sense of the integrity of drama and sub stance, form and content? What we lack eyes for, of course, we will not see. The basic purpose of this essay is to develop eyes, as it were, for that integrity. The best way to do this, I think, is to take a later dialogue and to try to read it as a whole of form, content, and communicative function."

The Peripatetics - Aristotle's Heirs 322 BCE - 200 CE (Paperback): Han Baltussen The Peripatetics - Aristotle's Heirs 322 BCE - 200 CE (Paperback)
Han Baltussen
R1,283 Discovery Miles 12 830 Ships in 12 - 17 working days

Aristotle's Heirs explores the development of Peripatetic thought from Theophrastus and Strato to the work of the commentator Alexander of Aphrodisias. The book examines whether the internal dynamics of this philosophical school allowed for a unity of Peripatetic thought, or whether there was a fundamental tension between philosophical creativity and the notions of core teachings and canonisation. The book discusses the major philosophical preoccupations of the Peripatetics, interactions with Hellenistic schools of thought, and the shift in focus among Greek philosophers in a changing political landscape. It is the first book of its kind to provide a survey of this important philosophical tradition.

Philosophic Classics: Volume 1 - Ancient Philosophy (Hardcover, 7 Ed): Forrest Baird Philosophic Classics: Volume 1 - Ancient Philosophy (Hardcover, 7 Ed)
Forrest Baird
R5,399 Discovery Miles 53 990 Ships in 12 - 17 working days

This 7th Edition of Philosophic Classics, Volume I: Ancient Philosophy includes essential writings of the most important Greek philosophers, along with selections from some of their Roman followers. In updating this edition, editor Forrest E. Baird has continued to follow the same criteria established by the late-Walter Kaufmann when the Philosophic Classics series was first established: (1) to use complete works or, where more appropriate, complete sections of works (2) in clear translations (3) of texts central to the thinker's philosophy or widely accepted as part of the "canon." To make the works more accessible to students, most footnotes treating textual matters (variant readings, etc.) have been omitted and important Greek words have been transliterated and put in angle brackets. In addition, each thinker is introduced by a brief essay composed of three sections: (1) biographical (a glimpse of the life), (2) philosophical (a resume of the philosopher's thought), and (3) bibliographical (suggestions for further reading).

Meditations of Marcus Aurelius - Selections Annotated & Explained (Paperback, New): Marcus Aurelius Meditations of Marcus Aurelius - Selections Annotated & Explained (Paperback, New)
Marcus Aurelius; Edited by Russell McNeil; Translated by George Long
R596 R496 Discovery Miles 4 960 Save R100 (17%) Ships in 10 - 15 working days

The timeless wisdom of an ancient Stoic can become a companion
for your own spiritual journey.

Stoicism is often portrayed as a cheerless, stiff-upper-lip philosophy of suffering and doom. Yet as experienced through the thoughtful and penetrating writings of Roman emperor Marcus Aurelius (121 180 CE), the Stoic approach to life is surprisingly rich, nuanced, clear-eyed and friendly.

With facing-page commentary that explains the texts for you, Russell McNeil, PhD, guides you through key passages from Aurelius s "Meditations," comprised of the emperor s collected personal journal entries, to uncover the startlingly modern relevance his words have today. From devotion to family and duty to country, to a near-prophetic view of the natural world that aligns with modern physics, Aurelius s words speak as potently today as they did two millennia ago.

Now you can discover the tenderness, intelligence and honesty of Aurelius s writings with no previous background in philosophy or the classics. This SkyLight Illuminations edition offers insightful and engaging commentary that explains the historical background of Stoicism, as well as the ways this ancient philosophical system can offer psychological and spiritual insight into your contemporary life. You will be encouraged to explore and challenge Aurelius s ideas of what makes a fulfilling life and in so doing you may discover new ways of perceiving happiness.

Introduction to Aristotle's Theory of Being as Being (Paperback, Softcover reprint of the original 1st ed. 1977): Robert S... Introduction to Aristotle's Theory of Being as Being (Paperback, Softcover reprint of the original 1st ed. 1977)
Robert S Schine; W. Marx
R1,490 Discovery Miles 14 900 Ships in 10 - 15 working days

Philosophy finds itself "between tradition and another beginning." 1 For this reason it seems necessary to reconsider the foundations of traditional philosophy in the hope that out of these considerations new questions may arise which may lead to a new philosophical foundation. To this end neither the large manual nor the monograph is well suited. What is required, instead, is to take a few steps which lead our thoughts directly into the problems of a given, traditional, philosophical foun dation. In this sense the present work wishes to provide an "introduction" into that philosophical foundation which, until Hegel, had a decisive influence upon traditional philosophy_ Consequently, it does not see its task in providing a survey of this whole complex of problems. Nor does it offer solutions to questions about difficult passages which have been the subject of two thousand years of Aristotelian scholarship_ Instead, it follows a definite path which might bring this Aristotelian science, the theory which seeks to determine being as being, on hei on, closer to the student of philosophy."

Understanding Plato's Republic (Paperback): Gerasimos Santas Understanding Plato's Republic (Paperback)
Gerasimos Santas
R867 Discovery Miles 8 670 Ships in 12 - 17 working days

"Understanding Plato's Republic" is an accessible introduction to the concepts of justice that inform Plato's Republic, elucidating the ancient philosopher's main argument that we would be better off leading just lives rather than unjust ones

Provides a much needed up to date discussion of "The Republic"'s fundamental ideas and Plato's main argumentDiscusses the unity and coherence of "The Republic" as a wholeWritten in a lively style, informed by over 50 years of teaching experienceReveals rich insights into a timeless classic that holds remarkable relevance to the modern world

Neo-Aristotelian Perspectives in Metaphysics (Paperback): Daniel D. Novotny, Lukas Novak Neo-Aristotelian Perspectives in Metaphysics (Paperback)
Daniel D. Novotny, Lukas Novak
R1,308 Discovery Miles 13 080 Ships in 12 - 17 working days

This volume re-examines some of the major themes at the intersection of traditional and contemporary metaphysics. The book uses as a point of departure Francisco Suarez's Metaphysical Disputations published in 1597. Minimalist metaphysics in empiricist/pragmatist clothing have today become mainstream in analytic philosophy. Independently of this development, the progress of scholarship in ancient and medieval philosophy makes clear that traditional forms of metaphysics have affinities with some of the streams in contemporary analytic metaphysics. The book brings together leading contemporary metaphysicians to investigate the viability of a neo-Aristotelian metaphysics.

Introduction to Aristotle's Theory of Being as Being (Paperback, 1977 ed.): August Marx Introduction to Aristotle's Theory of Being as Being (Paperback, 1977 ed.)
August Marx
R1,490 Discovery Miles 14 900 Ships in 10 - 15 working days
Saint Paul - The Foundation of Universalism (Paperback, Teacher and Lte): Alain Badiou Saint Paul - The Foundation of Universalism (Paperback, Teacher and Lte)
Alain Badiou; Translated by Ray Brassier
R605 R566 Discovery Miles 5 660 Save R39 (6%) Ships in 10 - 15 working days

In this bold and provocative work, French philosopher Alain Badiou proposes a startling reinterpretation of St. Paul. For Badiou, Paul is neither the venerable saint embalmed by Christian tradition, nor the venomous priest execrated by philosophers like Nietzsche: he is instead a profoundly original and still revolutionary thinker whose invention of Christianity weaves truth and subjectivity together in a way that continues to be relevant for us today. In this work, Badiou argues that Paul delineates a new figure of the subject: the bearer of a universal truth that simultaneously shatters the strictures of Judaic Law and the conventions of the Greek Logos. Badiou shows that the Pauline figure of the subject still harbors a genuinely revolutionary potential today: the subject is that which refuses to submit to the order of the world as we know it and struggles for a new one instead.

Problems, Volume II (Hardcover): Aristotle Problems, Volume II (Hardcover)
Aristotle; Edited by Robert Mayhew, David C. Mirhady
R780 Discovery Miles 7 800 Ships in 12 - 17 working days

Aristotle of Stagirus (384 322 BCE), the great Greek philosopher, researcher, logician, and scholar, studied with Plato at Athens and taught in the Academy (367 347). Subsequently he spent three years in Asia Minor at the court of his former pupil Hermeias, where he married Pythias, one of Hermeias' relations. After some time at Mitylene, he was appointed in 343/2 by King Philip of Macedon to be tutor of his teen-aged son Alexander. After Philip's death in 336, Aristotle became head of his own school (of Peripatetics ), the Lyceum at Athens. Because of anti-Macedonian feeling there after Alexander's death in 323, he withdrew to Chalcis in Euboea, where he died the following year.

"Problems," the third-longest work in the Aristotelian corpus, contains thirty-eight books covering more than 900 problems about living things, meteorology, ethical and intellectual virtues, parts of the human body, and miscellaneous questions. Although "Problems" is an accretion of multiple authorship over several centuries, it offers a fascinating technical view of Peripatetic method and thought. "Rhetoric to Alexander," which provides practical advice to orators, was likely composed during the period of Aristotle s tutorship of Alexander, perhaps by Anaximenes, another of Alexander s tutors. Both "Problems" and "Rhetoric to Alexander" replace the earlier Loeb edition by Hett and Rackham, with texts and translations incorporating the latest scholarship.

From Platonism to Neoplatonism - Third Edition Revised (Paperback, Softcover reprint of the original 1st ed. 1975): Fr Merlan From Platonism to Neoplatonism - Third Edition Revised (Paperback, Softcover reprint of the original 1st ed. 1975)
Fr Merlan
R1,556 Discovery Miles 15 560 Ships in 10 - 15 working days

The first edition of this book appeared in 1953; the second, revised and enlarged, in 1960. The present, third edition is essentially a reprint of the second, except for the correction of a few misprints and the following remarks, which refer to some recent publications* and replace the brief preface to the second edition. Neither Eudemus nor Theophrastus, so I said (p. 208GBP. ) knew a branch of theoretical philosophy the object of which would be something called 0'. 1 ~ 0'. 1 andwhich branch wouldbedistinct from theology. And there is no sign that they found such a branch (corresponding to what was later called metaphysica generalis) in Aristotle. To the names of Eudemus and Theophrastus we now can add that of Nicholas of Damascus. In 1965 H. J. Drossaart Lulofs published: Nicolaus Damascenus On the Philosophy of Aristotle (Leiden: Brill), Le. fragments of his m:pr. njc; 'ApLO''t'o't' qJLAOO'OqJLiXC; preserved in Syriac together with an English trans lation. In these fragments we find a competent presentation of Aristotle's theoretical philosophy, in systematic form. Nicholas subdivides Aristotle's theoretical philosophy into theology, physics, and mathematics and seems to be completely unaware of any additional branch of philosophy the object of which would be 0'. 1 ~ 0'. 1 distinct from theology with its object (the divine).

On the Greek Origins of Biopolitics - A Reinterpretation of the History of Biopower (Hardcover): Mika Ojakangas On the Greek Origins of Biopolitics - A Reinterpretation of the History of Biopower (Hardcover)
Mika Ojakangas
R4,427 Discovery Miles 44 270 Ships in 12 - 17 working days

This book explores the origins of western biopolitics in ancient Greek political thought. Ojakangas's argues that the conception of politics as the regulation of the quantity and quality of population in the name of the security and happiness of the state and its inhabitants is as old as the western political thought itself: the politico-philosophical categories of classical thought, particularly those of Plato and Aristotle, were already biopolitical categories. In their books on politics, Plato and Aristotle do not only deal with all the central topics of biopolitics from the political point of view, but for them these topics are the very keystone of politics and the art of government. Yet although the Western understanding of politics was already biopolitical in classical Greece, the book does not argue that the history of biopolitics would constitute a continuum from antiquity to the twentieth century. Instead Ojakangas argues that the birth of Christianity entailed a crisis of the classical biopolitical rationality, as the majority of classical biopolitical themes concerning the government of men and populations faded away or were outright rejected. It was not until the renaissance of the classical culture and literature - including the translation of Plato's and Aristotles political works into Latin - that biopolitics became topical again in the West. The book will be of great interest to scholars and students in the field of social and political studies, social and political theory, moral and political philosophy, IR theory, intellectual history, classical studies.

The Art of Rhetoric in Alexandria - Its Theory and Practice in the Ancient World (Paperback, 1974 ed.): R.W. Smith The Art of Rhetoric in Alexandria - Its Theory and Practice in the Ancient World (Paperback, 1974 ed.)
R.W. Smith
R2,986 Discovery Miles 29 860 Ships in 10 - 15 working days

Goethe's great love for the ancient classics once prompted him to write ("Gespriiche mit Eckerman," April 1, 1827), "Man studiere nicht die Mitgeborenen und Mitstrebenden, sondern grosse Menschen der Vorzeit, deren Werke seit Jahrhunderten gleichen Wert und gleiches Ansehen behalten haben . . . Man studiere Moliere, man studiere Shakespeare, aber vor allen Dingen die alten Griechen und immer die alten Griechen. " Anyone examining the history of Western ideas has found this statement to prove eminently true: one must study above all others the ancient Greeks. This book, by its study of the Greeks and others, seeks to fill in a small way the large gap which has obtained in the history of rhetoric in the Eastern Mediterranean area: the rhetoric (formal spoken discourse) of the courtroom, street corner, classroom, and legislative hall. Scholars have long investigated, and with considerable success, the figures and movements in Rome and Athens until Con stantine, or even later, but for some reason they have neglected the role and impact of oratory in most Asian and North African centers (Antioch excepted). If this monograph can provide outlines of its activity in Greco-Roman Alexandria to approximately A. D. 400 and encourage further scholarship in Pergamum, Tarsus, and elsewhere, it will have fulfilled its purpose. At the same time, it is not intended as a history of the city, nor an economic, political, or religious account of its life."

Porphyry's Place in the Neoplatonic Tradition - A Study in Post-Plotinian Neoplatonism (Paperback, Softcover reprint of... Porphyry's Place in the Neoplatonic Tradition - A Study in Post-Plotinian Neoplatonism (Paperback, Softcover reprint of the original 1st ed. 1974)
A. Smith
R2,994 Discovery Miles 29 940 Ships in 10 - 15 working days

This book is a slightly emended version of a dissertation presented at the University of Hull in 1972. I realise only too well the deficiencies of style, presentation and material which this involves. The title implies a more final note than I had intended in my treatment of Porphyry. On reflexion, however, it seemed the most suited to convey the general purpose of my enquiries. A more rounded assessment of Porphyry can come only after some more basic work has been completed. An edition of his philosophical fragments, to which I am now turning my attention, is a prerequisite. lowe, of course, a great deal to all those who have written on Neo platonism. I am particularly indebted to Prof. Willy Theiler under whose guidance I studied in Bern. Conversation with him always resulted in new directions of enquiry and I was constantly stimulated by his breadth of knowledge. I must also thank Prof. A. H. Armstrong who has constantly encouraged me and helped me to look more deeply into a number of problems. Welcome, too, was a detailed criticism of Part Two by Dr. R. T. Wallis. Their criticism and advice have not always been followed and the responsibility for the faults and weak nesses of this book rests on myself."

Ancient Logic and Its Modern Interpretations - Proceedings of the Buffalo Symposium on Modernist Interpretations of Ancient... Ancient Logic and Its Modern Interpretations - Proceedings of the Buffalo Symposium on Modernist Interpretations of Ancient Logic, 21 and 22 April, 1972 (Hardcover, 1974 ed.)
J. Corcoran
R3,090 Discovery Miles 30 900 Ships in 10 - 15 working days

During the last half century there has been revolutionary progress in logic and in logic-related areas such as linguistics. HistoricaI knowledge of the origins of these subjects has also increased significantly. Thus, it would seem that the problem of determining the extent to which ancient logical and linguistic theories admit of accurate interpretation in modern terms is now ripe for investigation. The purpose of the symposium was to gather logicians, philosophers, linguists, mathematicians and philologists to present research results bearing on the above problem with emphasis on logic. Presentations and discussions at the symposium focused themselves into five areas: ancient semantics, modern research in ancient logic, Aristotle's logic, Stoic logic, and directions for future research in ancient logic and logic-related areas. Seven of the papers which appear below were originally presented at the symposium. In every case, discussion at the symposium led to revisions, in some cases to extensive revisions. The editor suggested still further revisions, but in every case the author was the finaljudge of the work that appears under his name.

The Evolution of the Euclidean Elements - A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early... The Evolution of the Euclidean Elements - A Study of the Theory of Incommensurable Magnitudes and Its Significance for Early Greek Geometry (Hardcover, 1975 ed.)
W.R. Knorr
R10,071 Discovery Miles 100 710 Ships in 10 - 15 working days

The present work has three principal objectives: (1) to fix the chronology of the development of the pre-Euclidean theory of incommensurable magnitudes beginning from the first discoveries by fifth-century Pythago reans, advancing through the achievements of Theodorus of Cyrene, Theaetetus, Archytas and Eudoxus, and culminating in the formal theory of Elements X; (2) to correlate the stages of this developing theory with the evolution of the Elements as a whole; and (3) to establish that the high standards of rigor characteristic of this evolution were intrinsic to the mathematicians' work. In this third point, we wish to counterbalance a prevalent thesis that the impulse toward mathematical rigor was purely a response to the dialecticians' critique of foundations; on the contrary, we shall see that not until Eudoxus does there appear work which may be described as purely foundational in its intent. Through the examination of these problems, the present work will either alter or set in a new light virtually every standard thesis about the fourth-century Greek geometry. I. THE PRE-EUCLIDEAN THEORY OF INCOMMENSURABLE MAGNITUDES The Euclidean theory of incommensurable magnitudes, as preserved in Book X of the Elements, is a synthetic masterwork. Yet there are detect able seams in its structure, seams revealed both through terminology and through the historical clues provided by the neo-Platonist commentator Proclus."

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