Karl Marx and Mathematics
Karl Marx and Mathematics

Author: Pradip Baksi

Publisher: Routledge

Published: 2020-11-01

Total Pages: 259

ISBN-13: 1000263185

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This collection of various texts on Karl Marx and Mathematics is the revised and extended second edition of the Special Supplement to Karl Marx, Mathematical Manuscripts (1994; Calcutta: Viswakos) titled Marx and Mathematics. The sources of the texts included in the three parts of this collection and, some biographical information about their respective authors have been indicated at the end of each text. The emergence and development of the Ethnomathematics movement continue to change our understanding of the history of evolution of plural mathematics on planet earth since the Neolithic age. Rediscovery and study of some of the neglected source texts have further energized investigations on the subsequent history of mathematical cultures, including those on the histories of algebra and analysis in some of the ancient and medieval languages of Asia, like Sanskrit, Arabic and Malayalam. Consequently, it is now possible to indicate some of the larger gaps in the dominant understanding of history of mathematics not only in Marx’s time, but also at the time of editing Marx’s mathematical manuscripts in the twentieth century, and even today. Finally, the emergence and development of mathematical and statistical software packages are vigorously reshaping our ways of conceptualizing and doing mathematics towards an unknown future. It is time now for taking yet another look at all mathematical text from the past and that includes the mathematical manuscripts of Marx. These texts have been divided into three parts. Part one contains some topical texts related to the history of emergence, development, editing, publication and reception of the mathematical manuscripts of Karl Marx. Part two contains a selection of five articles reflecting some of the investigations inspired by these manuscripts in Russia, India and France. Part three contains five articles on plural mathematics before and after Karl Marx (1818-1883). The texts in this collection are followed by two appendices containing two bibliographies: one on Hegel and mathematics and, the other on mathematics and semiotics. Please note: This title is co-published with Aakar Books, Bew Delhi. Taylor & Francis does not sell or distribute the print edition in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan, Maldives or Bhutan).

How Language Informs Mathematics
How Language Informs Mathematics

Author: Dirk Damsma

Publisher: BRILL

Published: 2019-11-11

Total Pages: 226

ISBN-13: 9004395490

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In How Language Informs Mathematics Dirk Damsma shows how Hegel’s and Marx’s systematic dialectical analysis of mathematical and economic language helps us understand the structure and nature of mathematical and capitalist systems. More importantly, Damsma shows how knowledge of the latter can inform model assumptions and help improve models. His book provides a blueprint for an approach to economic model building that does away with arbitrarily chosen assumptions and is sensitive to the institutional structures of capitalism. In light of the failure of mainstream economics to understand systemic failures like the financial crisis and given the arbitrary character of most assumptions in mainstream models, such an approach is desperately needed.

Marx Returns
Marx Returns

Author: Jason Barker

Publisher: John Hunt Publishing

Published: 2018-02-23

Total Pages: 325

ISBN-13: 1785356615

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Karl Marx is a revolutionary. He is not alone. It is November 1849 and London is full of them: a bunch of fanatical dreamers trying to change the world. Persecuted by a tyrannical housekeeper and ignored by his sexually liberated wife, Marx immerses himself in his writing, believing that his book on capital is the surest way of ushering in the workers’ revolution and his family out of poverty. But when a mysterious figure begins to take an obsessive interest in his work Marx’s revolutionary journey takes an unexpected turn... Marx Returns combines historical fiction, psychological mystery, philosophy, differential calculus and extracts from Marx and Engels's collected works to reimagine the life and times of one of history's most exceptional minds, in this next fiction offering from Zero Books.

The Oxford Handbook of Karl Marx
The Oxford Handbook of Karl Marx

Author: Matt Vidal

Publisher: Oxford University Press

Published: 2019-03-26

Total Pages: 865

ISBN-13: 0190695560

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Karl Marx is one of the most influential writers in history. Despite repeated obituaries proclaiming the death of Marxism, in the 21st century Marx's ideas and theories continue to guide vibrant research traditions in sociology, economics, political science, philosophy, history, anthropology, management, economic geography, ecology, literary criticism, and media studies. Due to the exceptionally wide influence and reach of Marxist theory, including over 150 years of historical debates and traditions within Marxism, finding a point of entry can be daunting. The Oxford Handbook of Karl Marx provides an entry point for those new to Marxism. At the same time, its chapters, written by leading Marxist scholars, advance Marxist theory and research. Its coverage is more comprehensive than previous volumes on Marx in terms of both foundational concepts and state-of-the-art empirical research on contemporary social problems. It is also provides equal space to sociologists, economists, and political scientists, with substantial contributions from philosophers, historians, and geographers. The Oxford Handbook of Karl Marx consists of six sections. The first section, Foundations, includes chapters that cover the foundational concepts and theories that constitute the core of Marx's theories of history, society, and political economy. This section demonstrates that the core elements of Marx's political economy of capitalism continue to be defended, elaborated, and applied to empirical social science and covers historical materialism, class, capital, labor, value, crisis, ideology, and alienation. Additional sections include Labor, Class, and Social Divisions; Capitalist States and Spaces; Accumulation, Crisis, and Class Struggle in the Core Countries; Accumulation, Crisis, and Class Struggle in the Peripheral and Semi-Peripheral Countries; and Alternatives to Capitalism.

Foundations of Differential Calculus
Foundations of Differential Calculus

Author: Euler

Publisher: Springer Science & Business Media

Published: 2006-05-04

Total Pages: 208

ISBN-13: 0387226451

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The positive response to the publication of Blanton's English translations of Euler's "Introduction to Analysis of the Infinite" confirmed the relevance of this 240 year old work and encouraged Blanton to translate Euler's "Foundations of Differential Calculus" as well. The current book constitutes just the first 9 out of 27 chapters. The remaining chapters will be published at a later time. With this new translation, Euler's thoughts will not only be more accessible but more widely enjoyed by the mathematical community.

Deleuze and the History of Mathematics
Deleuze and the History of Mathematics

Author: Simon Duffy

Publisher: A&C Black

Published: 2013-05-09

Total Pages: 225

ISBN-13: 1441113894

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Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.

Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century

Author: Paolo Mancosu

Publisher: Oxford University Press, USA

Published: 1999

Total Pages: 290

ISBN-13: 0195132440

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1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.

Newton, Maxwell, Marx
Newton, Maxwell, Marx

Author: Thomas K. Simpson

Publisher:

Published: 2012

Total Pages: 0

ISBN-13: 9781888009378

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In these pages, we meet Newton, Maxwell, and Marx as we have never seen them before, as champions of a scientific vision that leads to intellectual freedom and human emancipation. We see Newton, the last of the alchemists, creating a visionary physics that was intended as a direct refutation of the dead mechanism of Cartesian philosophy. We see Maxwell striving to free the human intellect from the dogmatism of the Newtonian physics of his day, the champion of a new democratic science as exemplified by the work of Michael Faraday. We are astonished to meet Marx, the ultimate libertarian, envisioning a society in which the full and free development of every individual forms the ruling principle, a society that could be attained through a rational understanding deliberately constructed to emulate Newton s physics. Simpson points toward a vision of science, common to these three thinkers, as a powerful means of attaining human freedom? material, intellectual, and even spiritual."