The Philosophers and Mathematics

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Publisher : Springer
ISBN 13 : 3319937332
Total Pages : 357 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Philosophers and Mathematics by : Hassan Tahiri

Download or read book The Philosophers and Mathematics written by Hassan Tahiri and published by Springer. This book was released on 2018-08-14 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic and Philosophy of Mathematics in the Early Husserl

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Publisher : Springer Science & Business Media
ISBN 13 : 9048132479
Total Pages : 250 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis Logic and Philosophy of Mathematics in the Early Husserl by : Stefania Centrone

Download or read book Logic and Philosophy of Mathematics in the Early Husserl written by Stefania Centrone and published by Springer Science & Business Media. This book was released on 2010-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.

Giuseppe Peano between Mathematics and Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 8847018366
Total Pages : 198 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Giuseppe Peano between Mathematics and Logic by : Fulvia Skof

Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

2012

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Publisher : Walter de Gruyter
ISBN 13 : 3110278715
Total Pages : 3064 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis 2012 by :

Download or read book 2012 written by and published by Walter de Gruyter. This book was released on 2013-03-01 with total page 3064 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particularly in the humanities and social sciences, festschrifts are a popular forum for discussion. The IJBF provides quick and easy general access to these important resources for scholars and students. The festschrifts are located in state and regional libraries and their bibliographic details are recorded. Since 1983, more than 659,000 articles from more than 30,500 festschrifts, published between 1977 and 2011, have been catalogued.

The Oxford Handbook of the History of Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191549959
Total Pages : 927 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis The Oxford Handbook of the History of Mathematics by : Eleanor Robson

Download or read book The Oxford Handbook of the History of Mathematics written by Eleanor Robson and published by OUP Oxford. This book was released on 2008-12-18 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practise it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence is drawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood. The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.

Geometry and Monadology

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Publisher : Springer Science & Business Media
ISBN 13 : 3764379863
Total Pages : 658 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Geometry and Monadology by : Vincenzo de Risi

Download or read book Geometry and Monadology written by Vincenzo de Risi and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reconstructs, from both historical and theoretical points of view, Leibniz’s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work’s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz’s geometry.

Italian Studies in the Philosophy of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9400989377
Total Pages : 523 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Italian Studies in the Philosophy of Science by : Maria Luisa Dalla Chiara

Download or read book Italian Studies in the Philosophy of Science written by Maria Luisa Dalla Chiara and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: The impressive record of Italian philosophical research since the end of Fascism thirty-two years ago is shown in many fields: esthetics, social and" personal ethics, history and sociology of philosophy, and magnificently, perhaps above all, in logic, foundations of mathematics and the philosophY, methodology, and intellectual history ofthe empirical sciences. To our pleasure, Maria Luisa Dalla Chiara of the University of Florence gladly agreed to assemble a 'sampler' of recent Italian logical and analytical work on the philosophical foundations of mathematics and physics, along with a number of historical studies of epistemological and mathematical concepts. The twenty-five essays that form this volume will, we expect, encourage English-reading philosophers and scientists to seek further works by these authors and by their teachers, colleagues, and students; and, we hope, to look for those other Italian currents of thought in the philosophy of science for which points of departure are not wholly analytic, and which also deserve study and recognition in the world wide philosophical community. Of course, Italy has long been related to that world community in scien titlc matters.

Alfred Tarski

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Publisher : Springer
ISBN 13 : 149391474X
Total Pages : 511 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Alfred Tarski by : Andrew McFarland

Download or read book Alfred Tarski written by Andrew McFarland and published by Springer. This book was released on 2014-08-11 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alfred Tarski (1901–1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra. Throughout his career, he taught mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. This self-contained book focuses on Tarski’s early contributions to geometry and mathematics education, including the famous Banach–Tarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy. These themes are significant since Tarski’s later research on geometry and its foundations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations and much newly uncovered social background of these works written during Tarski’s years in Poland. Alfred Tarski: Early Work in Poland serves the mathematical, educational, philosophical and historical communities by publishing Tarski’s early writings in a broadly accessible form, providing background from archival work in Poland and updating Tarski’s bibliography. A list of errata can be found on the author Smith’s personal webpage.

"Scientia", rivista di scienza

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Publisher :
ISBN 13 :
Total Pages : 686 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis "Scientia", rivista di scienza by :

Download or read book "Scientia", rivista di scienza written by and published by . This book was released on 1927 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essays on Husserl's Logic and Philosophy of Mathematics

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Publisher : Springer
ISBN 13 : 9402411321
Total Pages : 541 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Essays on Husserl's Logic and Philosophy of Mathematics by : Stefania Centrone

Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.

Logic and Foundations of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401721092
Total Pages : 283 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Logic and Foundations of Mathematics by : Andrea Cantini

Download or read book Logic and Foundations of Mathematics written by Andrea Cantini and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of selected contributed papers. Due to the large number of interesting contributions, it was decided to split the collection into two distinct volumes: one covering the areas of Logic, Foundations of Mathematics and Computer Science, the other focusing on the general Philosophy of Science and the Foundations of Physics. As a leading choice criterion for the present volume, we tried to combine papers containing relevant technical results in pure and applied logic with papers devoted to conceptual analyses, deeply rooted in advanced present-day research. After all, we believe this is part of the genuine spirit underlying the whole enterprise of LMPS studies.

Mathematicians in Bologna 1861–1960

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802277
Total Pages : 555 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematicians in Bologna 1861–1960 by : Salvatore COEN

Download or read book Mathematicians in Bologna 1861–1960 written by Salvatore COEN and published by Springer Science & Business Media. This book was released on 2012-05-11 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientific personalities of Luigi Cremona, Eugenio Beltrami, Salvatore Pincherle, Federigo Enriques, Beppo Levi, Giuseppe Vitali, Beniamino Segre and of several other mathematicians who worked in Bologna in the century 1861–1960 are examined by different authors, in some cases providing different view points. Most contributions in the volume are historical; they are reproductions of original documents or studies on an original work and its impact on later research. The achievements of other mathematicians are investigated for their present-day importance.

Modern Algebra and the Rise of Mathematical Structures

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Publisher : Birkhäuser
ISBN 13 : 3034879172
Total Pages : 463 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modern Algebra and the Rise of Mathematical Structures by : Leo Corry

Download or read book Modern Algebra and the Rise of Mathematical Structures written by Leo Corry and published by Birkhäuser. This book was released on 2012-12-06 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.

Cultivating Continuity of the European Landscape

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Publisher : Springer Nature
ISBN 13 : 3031257138
Total Pages : 532 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Cultivating Continuity of the European Landscape by : Mauro Agnoletti

Download or read book Cultivating Continuity of the European Landscape written by Mauro Agnoletti and published by Springer Nature. This book was released on with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wittgenstein and the Turning Point in the Philosophy of Mathematics

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Publisher : Routledge
ISBN 13 : 1317832043
Total Pages : 373 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Wittgenstein and the Turning Point in the Philosophy of Mathematics by : S.G. Shanker

Download or read book Wittgenstein and the Turning Point in the Philosophy of Mathematics written by S.G. Shanker and published by Routledge. This book was released on 2013-12-19 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

Wolf Prize in Mathematics

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Publisher : World Scientific
ISBN 13 : 9789810239459
Total Pages : 780 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis Wolf Prize in Mathematics by : Shiing-Shen Chern

Download or read book Wolf Prize in Mathematics written by Shiing-Shen Chern and published by World Scientific. This book was released on 2000 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book features bibliographies, important papers, and speeches (for example at international congresses) of Wolf Prize winners. This is the first time that lectures by some Wolf Prize winners have been published together. Since the work of the Wolf laureates covers a wide spectrum, much of the mathematics of the twentieth century comes to life in this book.

Laura Bassi–The World's First Woman Professor in Natural Philosophy

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Publisher : Springer Nature
ISBN 13 : 3030539628
Total Pages : 158 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Laura Bassi–The World's First Woman Professor in Natural Philosophy by : Luisa Cifarelli

Download or read book Laura Bassi–The World's First Woman Professor in Natural Philosophy written by Luisa Cifarelli and published by Springer Nature. This book was released on 2020-11-14 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fascinating insight into the life and scientific work of Laura Bassi, the first female member of the influential Academy of Sciences of the Institute of Bologna and also the first woman to be appointed a university professor in physics, or universal philosophy as it was then termed. The book describes Laura Bassi’s research activities and achievements, explaining the influence of Newton, her role in promoting Newtonian experimental physics in Bologna, and her work as an experimentalist, including on electricity. Much attention is paid to the context in which Bassi developed her career. The very considerable difficulties faced by a woman surrounded by male university teachers and members of the Academy are discussed, casting light on the constraints that led Bassi to set up the first experimental physics laboratory in her home, complete with the many instruments required for experimentation and private teaching. The aim is to provide a rounded and well-documented account of the scientific endeavors and achievements of a too often overlooked scientist who struggled to overcome the prejudices of her age.