Matter Imagination And Geometry

Author : Dmitri Nikulin
Publisher :
ISBN 13 : 9781315192406
Total Pages : pages
Book Rating : 4.03/5 ( download)

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Download or read book Matter, Imagination and Geometry written by Dmitri Nikulin and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This title was first published in 2002: This text considers the applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--Provided by publisher.

Author : Dmitriĭ Vladimirovich Nikulin
Publisher : Ashgate Publishing
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.99/5 ( download)

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Download or read book Matter, Imagination, and Geometry written by Dmitriĭ Vladimirovich Nikulin and published by Ashgate Publishing. This book was released on 2002 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book considers conditions of applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction of mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. The author explores questions in the history of philosophy and science, particularly in late antiquity and early modernity. The focus is on key thinkers Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Author : Dmitri Nikulin
Publisher : Routledge
ISBN 13 : 9781138724549
Total Pages : pages
Book Rating : 4.48/5 ( download)

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Download or read book Matter, Imagination and Geometry written by Dmitri Nikulin and published by Routledge. This book was released on 2017-12-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2002: This text considers the applicability of mathematics to the study of natural phenomena. The possibility of such an application is one of the fundamental assumptions underlying the enormous theoretical and practical success of modern science. Addressing problems of matter, substance, infinity, number, structure of cognitive faculties, imagination, and of construction and mathematical object, Dmitri Nikulin examines mathematical (geometrical) objects in their relation to geometrical or intelligible matter and to imagination. Exploring questions in the history of philosophy and science of late antiquity and early modernity, the key thinkers of focus are Plotinus and Descartes (with the occasional appearance of Plato, Aristotle, Euclid, Proclus, Newton and others), in whom the fundamental presuppositions of ripe antiquity and of early modernity find their definite expression.

Author : D. Hilbert
Publisher : American Mathematical Soc.
ISBN 13 : 1470463024
Total Pages : 357 pages
Book Rating : 4.21/5 ( download)

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Download or read book Geometry and the Imagination written by D. Hilbert and published by American Mathematical Soc.. This book was released on 2021-03-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer—even after more than half a century has passed! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. “Hilbert and Cohn-Vossen” is full of interesting facts, many of which you wish you had known before. It's also likely that you have heard those facts before, but surely wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: π/4=1−1/3+1/5−1/7+−… π/4=1−1/3+1/5−1/7+−…. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is “Projective Configurations”. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the “pantheon” of great mathematics books.

Author : Keith Moser
Publisher : BRILL
ISBN 13 : 9004436359
Total Pages : 810 pages
Book Rating : 4.50/5 ( download)

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Download or read book Imagination and Art: Explorations in Contemporary Theory written by Keith Moser and published by BRILL. This book was released on 2020-07-27 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt: This transdisciplinary project represents the most comprehensive study of imagination to date. The eclectic group of international scholars who comprise Imagination and Art propose bold and innovative theoretical frameworks for (re-) conceptualizing imagination in all of its divergent forms.

Author : Andrew Janiak
Publisher : Oxford University Press, USA
ISBN 13 : 0199914109
Total Pages : 369 pages
Book Rating : 4.04/5 ( download)

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Download or read book Space written by Andrew Janiak and published by Oxford University Press, USA. This book was released on 2020-02-10 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ultimate Space Place presents information about the history of space flight, with emphasis on aviation, rocketry, Mercury, Gemini, Apollo, Skylab, and the Space Shuttle.

Author : Dmitri Nikulin
Publisher : Oxford University Press
ISBN 13 : 0190662379
Total Pages : 288 pages
Book Rating : 4.70/5 ( download)

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Download or read book Neoplatonism in Late Antiquity written by Dmitri Nikulin and published by Oxford University Press. This book was released on 2019-05-13 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a philosophical study of two major thinkers who span the period of late antiquity. While Plotinus stands at the beginning of its philosophical tradition, setting the themes for debate and establishing strategies of argument and interpretation, Proclus falls closer to its end, developing a grand synthesis of late ancient thought. The book discusses many central topics of philosophy and science in Plotinus and Proclus, such as the one and the many, number and being, the individuation and constitution of the soul, imagination and cognition, the constitution of number and geometrical objects, indivisibility and continuity, intelligible and bodily matter, and evil. It shows that late ancient philosophy did not simply embrace and borrow from the major philosophical traditions of earlier antiquity--Platonism, Aristotelianism, Stoicism--by providing marginal comments on widely-known philosophical texts. Rather, Neoplatonism offered a set of highly original and innovative insights into the nature of being and thought, which can be distinguished in much subsequent philosophical thought, up until modernity.

Author : Matthew Handelman
Publisher : Fordham Univ Press
ISBN 13 : 0823283852
Total Pages : 256 pages
Book Rating : 4.59/5 ( download)

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Download or read book The Mathematical Imagination written by Matthew Handelman and published by Fordham Univ Press. This book was released on 2019-03-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Richard C. Sha
Publisher : Johns Hopkins University Press
ISBN 13 : 1421439832
Total Pages : 342 pages
Book Rating : 4.39/5 ( download)

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Download or read book Imagination and Science in Romanticism written by Richard C. Sha and published by Johns Hopkins University Press. This book was released on 2021-03-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sha concludes that both fields benefited from thinking about how imagination could cooperate with reason—but that this partnership was impossible unless imagination's penchant for fantasy could be contained.

Author : Pablo Bustinduy
Publisher : Edinburgh University Press
ISBN 13 : 1399527835
Total Pages : 304 pages
Book Rating : 4.35/5 ( download)

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Download or read book Space and Political Universalism in Early Modern Physics and Philosophy written by Pablo Bustinduy and published by Edinburgh University Press. This book was released on 2024-03-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: How did early modern philosophy of space shape the modern concept of political universalism? In this book, Pablo Bustinduy persuasively argues that political universalism emerged from both the developments of Newtonian science and the formulation of the modern philosophy of the State. In the metaphysics of an open, empty, abstract and absolute space, Bustinduy suggests, the universalist project of modern politics found its logical model and foundation. There, the anxiety of a dislocated world was overcome, and the ontology of modern physics found a specific political expression that, despite being besieged by multiple crises, still animates our political imagination. By offering a political reading of early modern philosophy of space, Space and Political Universalism in Early Modern Physics and Philosophy reveals the connections between the logical development of early modern science, the contemporary elaborations of the philosophy of the State, and the historical articulations of the Westphalian system, early capitalist social formations, and the European colonial project. In doing so, it offers a powerful reflection on how we might detach democracy from the 'perilous metaphysics' of infinite space that has engendered political violence and domination, positing space as an emptiness that prevents the closure of the political itself.