Download or read book Mystic Geometer and Intuitionist written by Dirk van Dalen and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mystic Geometer and Intuitionist written by and published by . This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mystic Geometer and Intuitionist written by Dirk van Dalen and published by Oxford University Press. This book was released on 2005 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in wider Dutch history. A mathematical genius with strong mystical and philosophical leanings, he advocated the intuitionist view of mathematics and science as a constructive mental activity. This drew him into a discussion with David Hilbert, the leading advocate of the formalist school, about the nature of mathematics, a debate which made Brouwer a legend during his lifetime. He also contributed significantly to research in topology, and was a member of the socio-linguistic Signific Circle. As well as his diverse mathematical interests he had a great impact in wider Dutch society. His keen sense of justice made him a party in many conflicts, both scientific and political. He would often be involved in controversial issues, such as the campaign to undo the boycott of German scientists, and this made him a figure both of admiration and embarrassment in his native Holland. Although his abilities won him offers from prestigious universities such as Berlin and Gottingen, he preferred to stay in Amsterdam, so that he could pursue a life of quiet unconventionality in the artist community at Laren. This book, the second in a two-volume set, provides a sophisticated analysis of this crucial era of mathematical research, but also gives an important insight into the wider life of one of the most fascinating characters involved.
Download or read book Mystic Geometer and Intuitionist The dawning revolution written by Dirk Dalen and published by Oxford University Press. This book was released on 1999 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in wider Dutch history. A mathematical genius with strong mystical and philosophical leanings, he advocated a constructivistic, more human view of mathematics and science. A sophisticated analysis of a crucial era of mathematical research, this book is an important insight into the life of one of its most fascinating characters.
Download or read book Mystic Geometer and Intuitionist written by Dirk Dalen and published by . This book was released on 2005 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in wider Dutch history. A mathematical genius with strong mystical and philosophical leanings, he advocated the intuitionist view of mathematics and science as a constructive mental activity. This drew him into a discussion with David Hilbert, the leading advocate of the formalist school, about the nature of mathematics, a debate which made Brouwer a legend during his lifetime. He also contributed significantly to research in topology, and was a member of the socio- linguistic Signific Circle. As well as his diverse mathematical interests he had a great impact in wider Dutch society. His keen sense of justice made him a party in many conflicts, both scientific and political. He would often be involved in controversial issues, such as the campaign to undo the boycott of German scientists, and this made him a figure both of admiration and embarrassment in his native Holland.; Although his abilities won him offers from prestigious universities such as Berlin and Gottingen, he preferred to stay in Amsterdam, so that he could pursue a life of quiet unconventionality in the artist community at Laren. This book, the second in a two volume set, provides a sophisticated analysis of this crucial era of mathematical research, but also gives an important insight into the wider life of one of the most fascinating characters involved.
Download or read book Mystic Geometer and Intuitionist written by Dirk van Dalen and published by . This book was released on 2005 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Luitzen Egbertus Jan Brouwer is a remarkable figure, both in the development of mathematics and in broader Dutch history. This sophisticated analysis of this crucial era of mathematical research gives an insight into his life.
Download or read book Mathematical Intuitionism written by Carl J. Posy and published by Cambridge University Press. This book was released on 2020-11-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
Download or read book One Hundred Years of Intuitionism 1907 2007 written by Mark van Atten and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.
Download or read book Miracles Mystics Mathematicians written by Sasho Kalajdzievski and published by CRC Press. This book was released on 2023-11-30 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Miracles, Mystics, Mathematicians: Searching for Deep Reality focuses on the lives and writings of some of history’s most influential mathematicians and the impact that their mystical beliefs had on their lives and on their mathematical work. Modern biographers often cleanse the lives of renowned scientists of any hint of mysticism or occultism. Such threads are sometimes regarded as relics of the superstitious past; flaws that need to be hushed up, marginalized, or reinterpreted. This book represents a minor attempt to push back against this tendency and to examine these aspects of the history of mathematics with seriousness and intellectual curiosity. Features A breadth of scope covering many centuries Suitable for anyone interested in mathematics, history, philosophy, paranormal phenomena, psi-research, mysticism, or in any combination of the above An almost unique account of known histories, examined from a new vantage point Sasho Kalajdzievski is a Senior Scholar in the Department of Mathematics at the University of Manitoba.
Download or read book L E J Brouwer Topologist Intuitionist Philosopher written by Dirk van Dalen and published by Springer Science & Business Media. This book was released on 2012-12-04 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dirk van Dalen’s biography studies the fascinating life of the famous Dutch mathematician and philosopher Luitzen Egbertus Jan Brouwer. Brouwer belonged to a special class of genius; complex and often controversial and gifted with a deep intuition, he had an unparalleled access to the secrets and intricacies of mathematics. Most mathematicians remember L.E.J. Brouwer from his scientific breakthroughs in the young subject of topology and for the famous Brouwer fixed point theorem. Brouwer’s main interest, however, was in the foundation of mathematics which led him to introduce, and then consolidate, constructive methods under the name ‘intuitionism’. This made him one of the main protagonists in the ‘foundation crisis’ of mathematics. As a confirmed internationalist, he also got entangled in the interbellum struggle for the ending of the boycott of German and Austrian scientists. This time during the twentieth century was turbulent; nationalist resentment and friction between formalism and intuitionism led to the Mathematische Annalen conflict ('The war of the frogs and the mice'). It was here that Brouwer played a pivotal role. The present biography is an updated revision of the earlier two volume biography in one single book. It appeals to mathematicians and anybody interested in the history of mathematics in the first half of the twentieth century.
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics and Economics written by Thomas A. Boylan and published by Routledge. This book was released on 2018-04-09 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.
Download or read book Weyl and the Problem of Space written by Julien Bernard and published by Springer Nature. This book was released on 2019-10-09 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.
Download or read book European Philosophy of Science Philosophy of Science in Europe and the Viennese Heritage written by Maria Carla Galavotti and published by Springer Science & Business Media. This book was released on 2013-08-28 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines the theoretical and historical perspective focusing on the specific features of a European philosophy of science. On the occasion of the 20th anniversary of the Institute Vienna Circle the Viennese roots and influences will be addressed, in addition. There is no doubt that contemporary philosophy of science originated mainly in Europe beginning in the 19th century and has influenced decisively the subsequent development of globalized philosophy of science, esp. in North America. Recent research in this field documents some specific characteristics of philosophy of science covering the natural, social, and also cultural sciences in the European context up to the destruction and forced migration caused by Fascism and National Socialism. This European perspective with the integration of history and philosophy of science and the current situation in the philosophy of science after the transatlantic interaction and transformation, and the “return” after World War II raises the question of contemporary European characteristics in the philosophy of science. The role and function of the renowned Vienna Circle of Logical Empiricism and its impact and influence on contemporary philosophy of science is on the agenda, too. Accordingly, the general topic is dealt with in two parallel sessions representing systematic-formal as well as genetic-historical perspectives on philosophy of science in a European context up to the present.
Download or read book The Selected Correspondence of L E J Brouwer written by Dirk von Dalen and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science.
Download or read book The Meaning of Something written by Fosca Mariani Zini and published by Springer Nature. This book was released on 2022-11-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative volume investigates the meaning of ‘something’ in different recent philosophical traditions in order to rethink the logic and the unity of ontology, without forgetting to compare these views to earlier significative accounts in the history of philosophy. In fact, the revival of interest in “something” in the 19th and 20th centuries as well as in contemporary philosophy can easily be accounted for: it affords the possibility for asking the question: what is there? without engaging in predefined speculative assumptions The issue about “something” seems to avoid any naive approach to the question about what there is, so that it is treated in two main contemporary philosophical trends: “material ontology”, which aims at taking “inventory” of what there is, of everything that is; and “formal ontology”, which analyses the structural features of all there is, whatever it is. The volume advances cutting-edge debates on what is the first et the most general item in ontology, that is to say “something”, because the relevant features of the conceptual core of something are: non-nothingness, otherness. Something means that one being is different from others. The relationality belongs to something.: Therefore, the volume advances cutting-edge debates in phenomenology, analytic philosophy, formal and material ontology, traditional metaphysics.
Download or read book A Companion to Philosophical Logic written by Dale Jacquette and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.
