Logik Mathesis Universalis Und Allgemeine Wissenschaft
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Logik Mathesis Universalis Und Allgemeine Wissenschaft
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Author : Volker Peckhaus
language : de
Publisher:
Release Date : 1997
Logik Mathesis Universalis Und Allgemeine Wissenschaft written by Volker Peckhaus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Philosophy categories.
From Past To Future Gra Mann S Work In Context
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Author : Hans-Joachim Petsche
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-16
From Past To Future Gra Mann S Work In Context written by Hans-Joachim Petsche 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 2010-12-16 with Mathematics categories.
On the occasion of the 200th anniversary of the birth of Hermann Graßmann (1809-1877), an interdisciplinary conference was held in Potsdam, Germany, and in Graßmann's hometown Szczecin, Poland. The idea of the conference was to present a multi-faceted picture of Graßmann, and to uncover the complexity of the factors that were responsible for his creativity. The conference demonstrated not only the very influential reception of his work at the turn of the 20th century, but also the unexpected modernity of his ideas, and their continuing development in the 21st century. This book contains 37 papers presented at the conference. They investigate the significance of Graßmann's work for philosophical as well as for scientific and methodological questions, for comparative philology in general and for Indology in particular, for psychology, physiology, religious studies, musicology, didactics, and, last but not least, mathematics. In addition, the book contains numerous illustrations and English translations of original sources, which are published here for the first time. These include life histories of Graßmann (written by his son Justus) and of his brother Robert (written by Robert himself), as well as the paper "On the concept and extent of pure theory of number'' by Justus Graßmann (the father).
Space Number And Geometry From Helmholtz To Cassirer
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Author : Francesca Biagioli
language : en
Publisher: Springer
Release Date : 2016-08-22
Space Number And Geometry From Helmholtz To Cassirer written by Francesca Biagioli and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-22 with Philosophy categories.
This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different strategies for a philosophical account of the same transformation from a neo-Kantian perspective, and especially Hermann Cohen’s account of the aprioricity of mathematics in terms of applicability and Ernst Cassirer’s reformulation of the a priori of space in terms of a system of hypotheses. This book is ideal for students, scholars and researchers who wish to broaden their knowledge of non-Euclidean geometry or neo-Kantianism.
Mathematics Unbound The Evolution Of An International Mathematical Research Community 1800 1945
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Author : Karen Hunger Parshall
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Mathematics Unbound The Evolution Of An International Mathematical Research Community 1800 1945 written by Karen Hunger Parshall and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Although today's mathematical research community takes its international character very much for granted, this ``global nature'' is relatively recent, having evolved over a period of roughly 150 years-from the beginning of the nineteenth century to the middle of the twentieth century. During this time, the practice of mathematics changed from being centered on a collection of disparate national communities to being characterized by an international group of scholars for whom thegoal of mathematical research and cooperation transcended national boundaries. Yet, the development of an international community was far from smooth and involved obstacles such as war, political upheaval, and national rivalries. Until now, this evolution has been largely overlooked by historians andmathematicians alike. This book addresses the issue by bringing together essays by twenty experts in the history of mathematics who have investigated the genesis of today's international mathematical community. This includes not only developments within component national mathematical communities, such as the growth of societies and journals, but also more wide-ranging political, philosophical, linguistic, and pedagogical issues. The resulting volume is essential reading for anyone interestedin the history of modern mathematics. It will be of interest to mathematicians, historians of mathematics, and historians of science in general.
The Philosophy Of Joseph Petzoldt
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Author : Chiara Russo Krauss
language : en
Publisher: Bloomsbury Publishing
Release Date : 2023-01-12
The Philosophy Of Joseph Petzoldt written by Chiara Russo Krauss and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-12 with Philosophy categories.
This volume is the first English resource to shed light on the philosophy of Joseph Petzoldt (1862-1929), the main pupil of Ernst Mach and founder of the Gesellschaft für wissenschaftliche Philosophie, later the association of Berlin logical positivists. A central figure in the early debate on the theory of relativity, his work was praised by Einstein himself. Tracing the development of Petzoldt's ideas, starting from his early acceptance of materialism and Kantian agnosticism, Chiara Russo Krauss presents a comprehensive reconstruction of his philosophy in the context of the German milieu. She examines his attempt to develop a new philosophy following Gustav Fechner and the empiriocriticism of Richard Avenarius and Ernst Mach. In the final chapter, she sets out how Petzoldt proposed relativistic positivism as the official interpretation of Einstein's relativity. By illuminating key elements of Petzoldt's work, this is a valuable case study for students and scholars of philosophy of science and late 19th-century and early 20th-century philosophy. It reveals the complex interplay of two different tendencies of the time: neo-Kantianism and its struggle to overcome the notion of thing-in-itself, as well as the need for an epistemological foundation for the new advances of science.
Activity And Sign
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Author : Michael H.G. Hoffmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06
Activity And Sign written by Michael H.G. Hoffmann 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 2005-12-06 with Education categories.
The advancement of a scientific discipline depends not only on the "big heroes" of a discipline, but also on a community’s ability to reflect on what has been done in the past and what should be done in the future. This volume combines perspectives on both. It celebrates the merits of Michael Otte as one of the most important founding fathers of mathematics education by bringing together all the new and fascinating perspectives created through his career as a bridge builder in the field of interdisciplinary research and cooperation. The perspectives elaborated here are for the greatest part motivated by the impressing variety of Otte’s thoughts; however, the idea is not to look back, but to find out where the research agenda might lead us in the future. This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent mathematics – depends on means, mainly philosophical and semiotic, that have to be created first of all, and to be reflected from the perspectives of a multitude of diverse disciplines.
The Good Life In The Scientific Revolution
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Author : Matthew L. Jones
language : en
Publisher: University of Chicago Press
Release Date : 2008-09-15
The Good Life In The Scientific Revolution written by Matthew L. Jones and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-15 with Science categories.
Amid the unrest, dislocation, and uncertainty of seventeenth-century Europe, readers seeking consolation and assurance turned to philosophical and scientific books that offered ways of conquering fears and training the mind—guidance for living a good life. The Good Life in the Scientific Revolution presents a triptych showing how three key early modern scientists, René Descartes, Blaise Pascal, and Gottfried Leibniz, envisioned their new work as useful for cultivating virtue and for pursuing a good life. Their scientific and philosophical innovations stemmed in part from their understanding of mathematics and science as cognitive and spiritual exercises that could create a truer mental and spiritual nobility. In portraying the rich contexts surrounding Descartes’ geometry, Pascal’s arithmetical triangle, and Leibniz’s calculus, Matthew L. Jones argues that this drive for moral therapeutics guided important developments of early modern philosophy and the Scientific Revolution.
The Architecture Of Modern Mathematics
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Author : J. Ferreiros
language : en
Publisher: OUP Oxford
Release Date : 2006-04-27
The Architecture Of Modern Mathematics written by J. Ferreiros and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-27 with Mathematics categories.
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.
The Discovery Of Chinese Logic
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Author : Joachim Kurtz
language : en
Publisher: BRILL
Release Date : 2011-07-27
The Discovery Of Chinese Logic written by Joachim Kurtz and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-27 with Philosophy categories.
Until 1898, Chinese and foreign scholars agreed that China had never known, needed, or desired a field of study similar in scope and purpose to European logic. Less than a decade later, Chinese literati claimed that the discipline had been part of the empire’s learned heritage for more than two millennia. This book analyzes the conceptual, ideological, and institutional transformations that made this drastic change of opinion possible and acceptable. Reconstructing the discovery of Chinese logic as a paradigmatic case of the epistemic shifts that continue to shape interpretations of China’s intellectual history, it offers a fresh view of the formation of modern academic discourses in East Asia and adds a neglected chapter to the global histories of science and philosophy.
Aristotle S Syllogism And The Creation Of Modern Logic
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Author : Lukas M. Verburgt
language : en
Publisher: Bloomsbury Publishing
Release Date : 2023-01-26
Aristotle S Syllogism And The Creation Of Modern Logic written by Lukas M. Verburgt and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-26 with Philosophy categories.
Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue durée history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Göttingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.