Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics

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Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2017-07-20
Ibn Al Haytham S Geometrical Methods And The Philosophy Of Mathematics written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with History categories.
This fifth volume of A History of Arabic Sciences and Mathematics is complemented by four preceding volumes which focused on the main chapters of classical mathematics: infinitesimal geometry, theory of conics and its applications, spherical geometry, mathematical astronomy, etc. This book includes seven main works of Ibn al-Haytham (Alhazen) and of two of his predecessors, Thābit ibn Qurra and al-Sijzī: The circle, its transformations and its properties; Analysis and synthesis: the founding of analytical art; A new mathematical discipline: the Knowns; The geometrisation of place; Analysis and synthesis: examples of the geometry of triangles; Axiomatic method and invention: Thābit ibn Qurra; The idea of an Ars Inveniendi: al-Sijzī. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.
Ibn Al Haytham New Astronomy And Spherical Geometry
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2019-10-25
Ibn Al Haytham New Astronomy And Spherical Geometry written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-25 with History categories.
This volume provides a unique primary source on the history and philosophy of mathematics and science from the mediaeval Arab world. The fourth volume of A History of Arabic Sciences and Mathematics is complemented by three preceding volumes which focused on infinitesimal determinations and other chapters of classical mathematics. This book includes five main works of the polymath Ibn al-Haytham (Alhazen) on astronomy, spherical geometry and trigonometry, plane trigonometry and studies of astronomical instruments on hour lines, horizontal sundials and compasses for great circles. In particular, volume four examines: the increasing tendency to mathematize the inherited astronomy from Greek sources, namely Ptolemy's Almagest; the development of celestial kinematics; new research in spherical geometry and trigonometry required by the new kinematical theory; the study on astronomical instruments and its impact on mathematical research. These new historical materials and their mathematical and historical commentaries contribute to rewriting the history of mathematical astronomy and mathematics from the 11th century on. Including extensive commentary from one of the world’s foremost authorities on the subject, this fundamental text is essential reading for historians and mathematicians at the most advanced levels of research.
Historia Scientiarum
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Author :
language : en
Publisher:
Release Date : 2003
Historia Scientiarum written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Artifacts Representations And Social Practice
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Author : C. Gould
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Artifacts Representations And Social Practice written by C. Gould and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
The essays collected here in honor of Marx Wartofsky's sixty-fifth birthday are a celebration of his rich contribution to philosophy over the past four decades and a testimony to the wide influence he has had on thinkers with quite various approaches of their own. His diverse philosophical interests and main themes have ranged from constructivism and realism in the philosophy of science to practices of representation and the creation of artifacts in aesthetics; and from the development of human cognition and the historicity of modes of knowing to the construction of norms in the context of concrete social critique. Or again, in the history of philosophy, his work spans historical approaches to Hegel, Feuerbach, and Marx, as well as contemporary implications of their work; and in applied philosophy, problems of education, medicine, and new technologies. Marx's philosophical theorizing moves from the highest levels of abstraction to the most concrete concern with the everyday and with contemporary social and political reality. And perhaps most notably, it is acutely sensitive to the importance of historical development and social practice. As a student of John Herman Randall, Jr. and Ernest Nagel at Columbia, Marx developed an exemplary background in both the history of philosophy and systematic philosophy and subsequently combined this with a wide acquaintance with analytic philosophy. He is at once aware of the requirements of system and of the need for rigorous and careful detailed argument.
New Perspectives On Mathematical Practices
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Author : Bart Van Kerkhove
language : en
Publisher: World Scientific
Release Date : 2009
New Perspectives On Mathematical Practices written by Bart Van Kerkhove and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.
A Critical Edition Of Ibn Al Haytham S On The Shape Of The Eclipse
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Author : Dominique Raynaud
language : en
Publisher: Springer
Release Date : 2016-11-16
A Critical Edition Of Ibn Al Haytham S On The Shape Of The Eclipse written by Dominique Raynaud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Mathematics categories.
This book provides the first critical edition of Ibn al-Haytham’s On the Shape of the Eclipse with English translation and commentary, which records the first scientific analysis of the camera obscura. On the Shape of the Eclipse includes pioneering research on the conditions of formation of the image, in a time deemed to be committed to aniconism. It also provides an early attempt to merge the two branches of Ancient optics—the theory of light and theory of vision. What perhaps most strongly characterizes this treatise is the close interaction of a geometric analysis of light and experimental reasoning. Ibn al-Haytham conducted his experiments in a systematic way by varying all that could be changed: the shape and size of the aperture, the focal length of the camera obscura, the distance and shape of the celestial bodies. This way, he achieved a thorough understanding. This work represents a decisive step in both the history of optics and the application of the experimental method that was just as efficient in medieval Islam as today.
The Routledge Handbook Of Philosophy Of Relativism
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Author : Martin Kusch
language : en
Publisher: Routledge
Release Date : 2019-12-06
The Routledge Handbook Of Philosophy Of Relativism written by Martin Kusch and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Philosophy categories.
Relativism can be found in all philosophical traditions and subfields of philosophy. It is also a central idea in the social sciences, the humanities, religion and politics. This is the first volume to map relativistic motifs in all areas of philosophy, synchronically and diachronically. It thereby provides essential intellectual tools for thinking about contemporary issues like cultural diversity, the plurality of the sciences, or the scope of moral values. The Routledge Handbook of Philosophy of Relativism is an outstanding major reference source on this fundamental topic. The 57 chapters by a team of international contributors are divided into nine parts: Relativism in non-Western philosophical traditions Relativism in Western philosophical traditions Relativism in ethics Relativism in political and legal philosophy Relativism in epistemology Relativism in metaphysics Relativism in philosophy of science Relativism in philosophy of language and mind Relativism in other areas of philosophy. Essential reading for students and researchers in all branches of philosophy, this handbook will also be of interest to those in related subjects such as politics, religion, sociology, cultural studies and literature.
Classical Mathematics From Al Khwarizmi To Descartes
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Author : Roshdi Rashed
language : en
Publisher: Routledge
Release Date : 2014-08-21
Classical Mathematics From Al Khwarizmi To Descartes written by Roshdi Rashed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-21 with History categories.
This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.
Arab Muslim Civilization In The Mirror Of The Universal Philosophical Perspectives
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Author : UNESCO
language : en
Publisher: UNESCO
Release Date : 2010
Arab Muslim Civilization In The Mirror Of The Universal Philosophical Perspectives written by UNESCO and has been published by UNESCO this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The Philosophers And Mathematics
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Author : Hassan Tahiri
language : en
Publisher: Springer
Release Date : 2018-08-14
The Philosophers And Mathematics written by Hassan Tahiri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-14 with Mathematics categories.
This book explores the unique relationship between two different approaches to understand the nature of knowledge, reality, and existence. It collects essays that examine the distinctive historical relationship between mathematics and philosophy. Readers learn what key philosophers throughout the ages thought about mathematics. This includes both thinkers who recognized the relevance of mathematics to their own work as well as those who chose to completely ignore its many achievements. The essays offer insight into the role that mathematics played in the formation of each included philosopher’s doctrine as well as the impact its remarkable expansion had on the philosophical systems each erected. Conversely, the authors also highlight the ways that philosophy contributed to the growth and transformation of mathematics. Throughout, significant historical examples help to illustrate these points in a vivid way. Mathematics has often been a favored interlocutor of philosophers and a major source of inspiration. This book is the outcome of an international conference held in honor of Roshdi Rashed, a renowned historian of mathematics. It provides researchers, students, and interested readers with remarkable insights into the history of an important relationship throughout the ages.