The Mathematical Imagination

The Mathematical Imagination PDF Author: Matthew Handelman
Publisher: Fordham Univ Press
ISBN: 0823283852
Category : Philosophy
Languages : en
Pages : 287

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Book Description
This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.

The Mathematical Imagination

The Mathematical Imagination PDF Author: Matthew Handelman
Publisher: Fordham Univ Press
ISBN: 0823283844
Category : Philosophy
Languages : en
Pages : 225

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Book Description
This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.

Connecting Humans to Equations

Connecting Humans to Equations PDF Author: Ole Ravn
Publisher: Springer
ISBN: 3030013375
Category : Education
Languages : en
Pages : 197

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Book Description
Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.

The Human Intellect

The Human Intellect PDF Author: Noah Porter
Publisher:
ISBN:
Category : Intellect
Languages : en
Pages : 714

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Book Description


The Human Intellect

The Human Intellect PDF Author: Noah Porter
Publisher: BoD – Books on Demand
ISBN: 3368149199
Category : Fiction
Languages : en
Pages : 702

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Book Description
Reprint of the original.

Journal

Journal PDF Author: Oklahoma. Legislative Assembly. House
Publisher:
ISBN:
Category :
Languages : en
Pages : 1254

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Book Description


Humboldt Library of Popular Science Literature

Humboldt Library of Popular Science Literature PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 614

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Book Description


Current Discussions in Science

Current Discussions in Science PDF Author: William Mattieu Williams
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 60

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Book Description


The University of Chicago Contributions to Philosophy

The University of Chicago Contributions to Philosophy PDF Author: University of Chicago
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 266

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Book Description


The Pythagorean World

The Pythagorean World PDF Author: Jane McDonnell
Publisher: Springer
ISBN: 331940976X
Category : Mathematics
Languages : en
Pages : 400

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Book Description
This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.

Proceedings of the Aristotelian Society for the Systematic Study of Philosophy

Proceedings of the Aristotelian Society for the Systematic Study of Philosophy PDF Author: Aristotelian Society (Great Britain)
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 320

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Book Description
Includes Report of the executive committee for 1887/88-1914/15; list of members in each volume.