Mathematics And Philosophy At The Turn Of The First Millennium
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Mathematics And Philosophy At The Turn Of The First Millennium
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Author : Clelia V. Crialesi
language : en
Publisher: Taylor & Francis
Release Date : 2025-03-31
Mathematics And Philosophy At The Turn Of The First Millennium written by Clelia V. Crialesi and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with History categories.
At the turn of the first millennium, scientific and philosophical knowledge was far from dormant. Arithmetic, with its diverse calculation techniques and number theory, served as a bridge to philosophy, theology, and the study of the physical world. Even something as simple as a series of multiplication tables could unlock a profound knowledge of both the divine realm and natural phenomena. Such is the case with Abbo of Fleury’s Commentary on the Calculus. Mathematics and Philosophy at the Turn of the First Millennium sheds light on Abbo’s original philosophical system anchored in two central doctrines, which serve as a compass to navigate it: the theory of unity (henology) and the theory of composition. Yet, the Commentary on the Calculus covers much more. The present study, thus, explores an eclectic range of topics – from water clocks to barleycorns, constellations to human voice, synodic month to the human lifespan, and numbers to God. Abbo’s work is an ambitious attempt to tie together the study of both the visible and invisible realms, what can be measured and what cannot, what can be quantified and what exceeds quantification. Scholars and students of the history of philosophy and mathematics will be introduced to a pivotal figure from an often overlooked era. They will be provided with fresh insights into the spread of Neopythagorean doctrines in the early Middle Ages, as they learn how these ideas were transmitted through arithmetic texts and harmonised with theology and natural philosophy. They will also get to know the medieval fraction system and calculus practices.
Pre Modern Mathematical Thought
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Author :
language : en
Publisher: BRILL
Release Date : 2025-07-10
Pre Modern Mathematical Thought written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with History categories.
This book takes readers through an exploration of fundamental discussions that redefined mathematics and its philosophical significance in the centuries foregoing modernity. From William of Auvergne’s paradoxes of infinity to Christoph Clavius’ interpretation of Euclidean principles, it examines the evolving understanding of central issues among which continuity, the existence of mathematical objects such as numbers, and the way humans can make true statements regarding such things. Each chapter sheds light on how premodern scholars bridged mathematics and philosophy, forging concepts and approaches that continued to influence early modern thought. A compelling read for historians, philosophers, and anyone intrigued by the origins and enduring legacy of mathematical ideas as both tools for inquiry and objects of reflection. Contributors are Joël Biard, Stephen Clucas, Clelia V. Crialesi, Vincenzo De Risi, Daniel Di Liscia, André Goddu, Kamil Majcherek, Paolo Mancosu, Aurélien Robert, Sabine Rommevaux, Sylvain Roudaut, and Cecilia Trifogli.
Colonial Scholasticism
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Author : Abel Aravena Zamora
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-22
Colonial Scholasticism written by Abel Aravena Zamora and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-22 with History categories.
Colonial Scholasticism: Interpreting Nature, Society, and Philosophy in Spanish America explores the enduring influence of scholasticism beyond Europe, tracing its evolution in the intellectual and educational institutions of colonial Latin America. Far from being a mere extension of European thought, colonial scholasticism developed in response to new cultural, political, and scientific contexts, engaging with both local realities and global philosophical traditions. This volume examines the emergence and adaptation of scholastic philosophy in Spanish America, from the establishment of schools and universities to the development of novel approaches to law, science, and theology. It explores how the works of Aristotle and his ancient and medieval followers continued to shape intellectual discourse in the American world. At the same time, it highlights how these traditions were reinterpreted in dialogue with Indigenous knowledge, social structures, and the challenges posed by colonial rule. Bringing together contributions from leading scholars in the field, Colonial Scholasticism sheds light on a neglected chapter in the history of Western philosophy. It challenges Eurocentric periodisations that confine scholasticism to the Middle Ages and demonstrates its continued relevance in shaping philosophical and scientific thought well into early modernity. This book is an essential resource for historians of philosophy, scholars of Latin American intellectual history, and all those interested in the global dimensions of scholasticism.
Ten Follies A Journey Around The World In Ten Forms Of Madness
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Author : Marco Innamorati
language : en
Publisher: Taylor & Francis
Release Date : 2025-07-22
Ten Follies A Journey Around The World In Ten Forms Of Madness written by Marco Innamorati and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-22 with History categories.
Ten Follies: A Journey Around the World in Ten Forms of Madness focuses on a critical question in the history of psychiatry: to what extent does psychopathology describe phenomena that exist before or beyond their description? Marco Innamorati probes the view that any description of a psychopathological phenomenon is, to a significant extent, the result of a construction by the subject describing it or a co-construction made by the clinician and the patient—a perspective also known as the “constructivist” approach. Starting from the work of the philosopher and historian of science Ian Hacking, who proposed the concept of “transient mental illness”, i.e., an “illness that appears at a given time, in a given place, and then disappears” (Hacking, 1998), Innamorati explores some forms of madness that seem to arise in a particular environment and in specific historical circumstances, developing through a kind of epidemic and then disappearing almost definitively. The author evaluates strengths and weaknesses of the “constructivist” approach, by juxtaposing evolving hermeneutical questions to cultural factors. From hysteria to demonic possession, from the “mad travellers” to arctic shamanism, until the recent mushrooming of the hikikomori phenomenon, Ten Follies is an unconventional “journey around the world in ten forms of madness” which takes the reader through astonishing stories of suffering and healing. Against the trend of mapping a single globalised discourse of “folly”, this book embraces a kind of philosophical perspectivism (“ten follies”) which echoes the contemporary cultural transformation of the many narratives of “madness”.
Aristotle And New Spain
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Author : Virginia Aspe Armella
language : en
Publisher: Taylor & Francis
Release Date : 2025-03-31
Aristotle And New Spain written by Virginia Aspe Armella and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with History categories.
This book is a detailed exploration of the Hispanic intellectual context and the different Aristotelian traditions that prevailed until the 16th century. Through a review and contextualisation of Aristotelian thinkers and texts, it argues that a unique Aristotelian tradition was formed in New Spain. The characteristic differences of Novohispanic Aristotelianism are a consequence of five factors: contact with the autochthonous cultures of America, the impact of the colonial organisation, the influence of the Salamanca humanist tradition, the presence of the Italian Aristotelianism of Renaissance translators in the university curricula and in the intellectual polemics of the time, and a peculiar assimilation of primitive and Old Testament Christianity in relation to indigenous people. This book analyses the works of Alonso de la Veracruz, Bartolomé de las Casas, Bernardino de Sahagún, Sor Juana Inés de la Cruz, Carlos de Sigüenza y Góngora, and Francisco Xavier Clavijero, reconsidering them in light of the history of ideas in New Spain and the contributions of Byzantine translators. It also offers a reflection on the problem of addressing Mexican colonial sources. This volume will be of interest to undergraduate and postgraduate philosophy students, as well as to researchers focused on Aristotle, Renaissance philosophy, or Latin American studies.
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy – as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today – who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy. Editorial Advisory Board Andrew Aberdein, Florida Institute ofTechnology, USA Jody Azzouni, Tufts University, USA Otávio Bueno, University of Miami, USA William Byers, Concordia University, Canada Carlo Cellucci, Sapienza University of Rome, Italy Chandler Davis, University of Toronto, Canada (1926-2022) Paul Ernest, University of Exeter, UK Michele Friend, George Washington University, USA Reuben Hersh, University of New Mexico, USA (1927-2020) Kyeong-Hwa Lee, Seoul National University, South Korea Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023) Athanase Papadopoulos, University of Strasbourg, France Ulf Persson, Chalmers University of Technology, Sweden John Stillwell, University of San Francisco, USA David Tall, University of Warwick, UK (1941-2024) This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, ofproof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches. Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin. ---Barry Mazur, Gerhard Gade University Professor, Harvard University This encyclopedic Handbook will be a treat for all those interested in the history and philosophy of mathematics. Whether one is interested in individuals (from Pythagoras through Newton and Leibniz to Grothendieck), fields (geometry, algebra, number theory, logic, probability, analysis), viewpoints (from Platonism to Intuitionism), or methods (proof, experiment, computer assistance), the reader will find a multitude of chapters that inform and fascinate. ---John Stillwell, Emeritus Professor of Mathematics, University of San Francisco; Recipient of the 2005 Chauvenet Prize Dedicating a volume to the memory of three mathematicians – Chandler Davis, Reuben Hersh, and Yuri Manin –, who went out of their way to show to a broader audience that mathematics is more than what they might think, is an excellent initiative. Gathering authors coming from many different backgrounds but who are very strict about the essays they write was successfully achieved by the editor-in-chief. The result: a great source of potential inspiration! ---Jean-Pierre Bourguignon; Nicolaas Kuiper Honorary Professor at the Institut des Hautes Études Scientifiques
Mathematics And Physics In Classical Islam
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Author :
language : en
Publisher: BRILL
Release Date : 2022-05-20
Mathematics And Physics In Classical Islam written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-20 with History categories.
This book highlights the emergence of a new mathematical rationality and the beginning of the mathematisation of physics in Classical Islam. Exchanges between mathematics, physics, linguistics, arts and music were a factor of creativity and progress in the mathematical, the physical and the social sciences. Goods and ideas travelled on a world-scale, mainly through the trade routes connecting East and Southern Asia with the Near East, allowing the transmission of Greek-Arabic medicine to Yuan Muslim China. The development of science, first centred in the Near East, would gradually move to the Western side of the Mediterranean, as a result of Europe’s appropriation of the Arab and Hellenistic heritage. Contributors are Paul Buell, Anas Ghrab, Hossein Masoumi Hamedani, Zeinab Karimian, Giovanna Lelli, Marouane ben Miled, Patricia Radelet-de Grave, and Roshdi Rashed.
The Oxford History Of Classical Reception In English Literature
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Author : Rita Copeland
language : en
Publisher: Oxford University Press
Release Date : 2016-01-28
The Oxford History Of Classical Reception In English Literature written by Rita Copeland and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-28 with Literary Criticism categories.
The Oxford History of Classical Reception in English Literature (OHCREL) is designed to offer a comprehensive investigation of the numerous and diverse ways in which literary texts of the classical world have stimulated responses and refashioning by English writers. Covering the full range of English literature from the early Middle Ages to the present day, OHCREL both synthesizes existing scholarship and presents cutting-edge new research, employing an international team of expert contributors for each of the five volumes. OHCREL endeavours to interrogate, rather than inertly reiterate, conventional assumptions about literary 'periods', the processes of canon-formation, and the relations between literary and non-literary discourse. It conceives of 'reception' as a complex process of dialogic exchange and, rather than offering large cultural generalizations, it engages in close critical analysis of literary texts. It explores in detail the ways in which English writers' engagement with classical literature casts as much light on the classical originals as it does on the English writers' own cultural context. This first volume, and fourth to appear in the series, covers the years c.800-1558, and surveys the reception and transformation of classical literary culture in England from the Anglo-Saxon period up to the Henrician era. Chapters on the classics in the medieval curriculum, the trivium and quadrivium, medieval libraries, and medieval mythography provide context for medieval reception. The reception of specific classical authors and traditions is represented in chapters on Virgil, Ovid, Lucan, Statius, the matter of Troy, Boethius, moral philosophy, historiography, biblical epics, English learning in the twelfth century, and the role of antiquity in medieval alliterative poetry. The medieval section includes coverage of Chaucer, Gower, and Lydgate, while the part of the volume dedicated to the later period explores early English humanism, humanist education, and libraries in the Henrician era, and includes chapters that focus on the classicism of Skelton, Douglas, Wyatt, and Surrey.
The Oxford History Of Classical Reception In English Literature
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Author : David Hopkins
language : en
Publisher: Oxford University Press
Release Date : 2012
The Oxford History Of Classical Reception In English Literature written by David Hopkins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with History categories.
"The present volume [3] is the first to appear of the five that will comprise The Oxford History of Classical Reception in English Literature (henceforth OHCREL). Each volume of OHCREL will have its own editor or team of editors"--Preface.
Ptolemy S Philosophy
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Author : Jacqueline Feke
language : en
Publisher: Princeton University Press
Release Date : 2018-10-16
Ptolemy S Philosophy written by Jacqueline Feke and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-16 with Science categories.
A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.