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Handbook of the History and Philosophy of Mathematical Practice
  • Language: en
  • Pages: 3221

Handbook of the History and Philosophy of Mathematical Practice

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Research in History and Philosophy of Mathematics
  • Language: en
  • Pages: 223

Research in History and Philosophy of Mathematics

This volume contains eleven papers that have been collected by the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques. It showcases rigorously-reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics, as well as the teaching of the history of mathematics. Topics considered include The mathematics and astronomy in Nathaniel Torperly’s only published work, Diclides Coelometricae, seu valvae astronomicae universal Connections between the work of Urbain Le Verrier, Carl Gustav Jacob Jacobi, and Augustin-Louis Cauchy on the algebraic eigenvalue problem An evaluation of Ken Manders’ argument against conceiving of the diagrams in Euclid’s Elements in semantic terms The development of undergraduate modern algebra courses in the United States Ways of using the history of mathematics to teach the foundations of mathematical analysis Written by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.

Diagrammatic Representation and Inference
  • Language: en
  • Pages: 835

Diagrammatic Representation and Inference

  • Type: Book
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  • Published: 2018-06-07
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 10th International Conference on the Theory and Application of Diagrams, Diagrams 2018, held in Edinburgh, UK, in June 2018. The 26 revised full papers and 28 short papers presented together with 32 posters were carefully reviewed and selected from 124 submissions. The papers are organized in the following topical sections: generating and drawing Euler diagrams; diagrams in mathematics; diagram design, principles and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; Peirce and existential graphs; and logic and diagrams.

Diagrammatic Representation and Inference
  • Language: en
  • Pages: 570

Diagrammatic Representation and Inference

This book constitutes the refereed proceedings of the 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021, held virtually in September 2021. The 16 full papers and 25 short papers presented together with 16 posters were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: design of concrete diagrams; theory of diagrams; diagrams and mathematics; diagrams and logic; new representation systems; analysis of diagrams; diagrams and computation; cognitive analysis; diagrams as structural tools; formal diagrams; and understanding thought processes. 10 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

The Richness of the History of Mathematics
  • Language: en
  • Pages: 702

The Richness of the History of Mathematics

This book, a tribute to historian of mathematics Jeremy Gray, offers an overview of the history of mathematics and its inseparable connection to philosophy and other disciplines. Many different approaches to the study of the history of mathematics have been developed. Understanding this diversity is central to learning about these fields, but very few books deal with their richness and concrete suggestions for the “what, why and how” of these domains of inquiry. The editors and authors approach the basic question of what the history of mathematics is by means of concrete examples. For the “how” question, basic methodological issues are addressed, from the different perspectives of mathematicians and historians. Containing essays by leading scholars, this book provides a multitude of perspectives on mathematics, its role in culture and development, and connections with other sciences, making it an important resource for students and academics in the history and philosophy of mathematics.

Duality in 19th and 20th Century Mathematical Thinking
  • Language: en
  • Pages: 962

Duality in 19th and 20th Century Mathematical Thinking

This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in wh...

Early Analytic Philosophy - New Perspectives on the Tradition
  • Language: en
  • Pages: 459

Early Analytic Philosophy - New Perspectives on the Tradition

  • Type: Book
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  • Published: 2016-01-21
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  • Publisher: Springer

This volume discusses some crucial ideas of the founders of the analytic philosophy: Gottlob Frege, Bertrand Russell and Ludwig Wittgenstein, or the ‘golden trio’. The book shows how these ‘old’ ideas are still present and influential in the current philosophical debates and to what extent these debates echo the original ideas. The collection aim is twofold: to better understand these fruitful ideas by placing them in the original setting, and to systematically examine these ideas in the context of the current debates animating philosophical discussions today. Divided into five sections, the book first sets the stage and offers a general introduction to the background influences, as ...

Osiris, Volume 38
  • Language: en
  • Pages: 419

Osiris, Volume 38

Perceptively explores the shifting intersections between algorithmic systems and human practices in the modern era. How have algorithmic systems and human practices developed in tandem since 1800? This volume of Osiris deftly addresses the question, dispelling along the way the traditional notion of algorithmic “code” and human “craft” as natural opposites. Instead, algorithms and humans have always acted in concert, depending on each other to advance new knowledge and produce social consequences. By shining light on alternative computational imaginaries, Beyond Craft and Code opens fresh space in which to understand algorithmic diversity, its governance, and even its conservation. T...

The Oxford History of Modern German Theology, Volume 1: 1781-1848
  • Language: en
  • Pages: 830

The Oxford History of Modern German Theology, Volume 1: 1781-1848

From the closing decades of the eighteenth century, German theology has been a major intellectual force within modern western thought, closely connected to important developments in idealism, romanticism, historicism, phenomenology, and hermeneutics. Despite its influential legacy, however, no recent attempts have sought to offer an overview of its history and development. Oxford History of Modern German Theology, Vol. I: 1781-1848, the first of a three-volume series, provides the most comprehensive multi-authored overview of German theology from the period from 1781-1848. Kaplan and Vander Schel cover categories frequently omitted from earlier overviews of the time period, such as the place...

The Cambridge Companion to Nineteenth-Century Thought
  • Language: en
  • Pages: 285

The Cambridge Companion to Nineteenth-Century Thought

Leading historians introduce the most influential trends in thought which originated or developed in the nineteenth century.