Poetic Logic And The Origins Of The Mathematical Imagination

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Poetic Logic and the Origins of the Mathematical Imagination

Marcel Danesi
Poetic Logic and the Origins of the Mathematical Imagination Book PDF

Author : Marcel Danesi
Publisher : Springer Nature
Page : 180 pages
File Size : 50,9 Mb
Release : 2023-09-02
Category : Mathematics
ISBN : 9783031315824

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Poetic Logic and the Origins of the Mathematical Imagination by Marcel Danesi Pdf

This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.

The Mathematical Imagination

Matthew Handelman
The Mathematical Imagination Book PDF

Author : Matthew Handelman
Publisher : Fordham Univ Press
Page : 256 pages
File Size : 55,7 Mb
Release : 2019-03-05
Category : Philosophy
ISBN : 9780823283859

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The Mathematical Imagination by Matthew Handelman Pdf

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

Matthew Handelman
The Mathematical Imagination Book PDF

Author : Matthew Handelman
Publisher : Fordham Univ Press
Page : 256 pages
File Size : 45,6 Mb
Release : 2019-03-05
Category : Philosophy
ISBN : 9780823283842

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The Mathematical Imagination by Matthew Handelman Pdf

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.

Kafka, Gothic and Fairytale

Patrick Bridgwater
Kafka Gothic and Fairytale Book PDF

Author : Patrick Bridgwater
Publisher : BRILL
Page : 208 pages
File Size : 46,8 Mb
Release : 2021-11-08
Category : Literary Criticism
ISBN : 9789004490215

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Kafka, Gothic and Fairytale by Patrick Bridgwater Pdf

Kafka, Gothic and Fairytale is an original comparative study of the novels and some of the related shorter punishment fantasies in terms of their relationship to the Gothic and fairytale conventions. It is an absorbing subject and one which, while keeping to the basic facts of his life, mind-set and literary method, shows Kafka’s work in a genuinely new light. The contradiction between his persona with its love of fairytale and his shadow with its affinity with Gothic is reflected in his work, which is both Gothic and other than Gothic, both fairytale-like and the every denial of fairytale. Important subtexts of the book are the close connexion between Gothic and fairytale and between both of these and the dream. German text is quoted in translation unless the emphasis is on the meaning of individual words or phrases, in which case the words in question are quoted and their English meanings discussed. This means that readers without German can, for the first time, begin to understand the underlying ambiguity of Kafka’s major fictions. The book is addressed to all who are interested in the meaning of his work and its place in literary history, but also to the many readers in the English and German-speaking worlds who share the author’s enthusiasm for Gothic and fairytale.

Memoirs of Libraries, Including

Edward Edwards
Memoirs of Libraries Including Book PDF

Author : Edward Edwards
Publisher : Unknown
Page : 1196 pages
File Size : 50,9 Mb
Release : 1859
Category : Electronic
ISBN : EHC:148100488896E

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Memoirs of Libraries, Including by Edward Edwards Pdf

The Cambridge History of Eighteenth-century Philosophy

Knud Haakonssen
The Cambridge History of Eighteenth century Philosophy Book PDF

Author : Knud Haakonssen
Publisher : Cambridge University Press
Page : 668 pages
File Size : 54,5 Mb
Release : 2006
Category : Electronic reference sources
ISBN : 0521867428

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The Cambridge History of Eighteenth-century Philosophy by Knud Haakonssen Pdf

This two-volume set presents a comprehensive and up-to-date history of eighteenth-century philosophy. The subject is treated systematically by topic, not by individual thinker, school, or movement, thus enabling a much more historically nuanced picture of the period to be painted.

Catalogue Classified and Alphabetical of the Books of the St. Louis Public School Library, Including Also the Collections of the St. Louis Academy of Science, and St. Louis Law. School

John Jay Bailey
Catalogue Classified and Alphabetical of the Books of the St Louis Public School Library Including Also the Collections of the St Louis Academy of Science and St Louis Law School Book PDF

Author : John Jay Bailey
Publisher : Unknown
Page : 412 pages
File Size : 47,7 Mb
Release : 1870
Category : Electronic
ISBN : ONB:+Z228505003

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Catalogue Classified and Alphabetical of the Books of the St. Louis Public School Library, Including Also the Collections of the St. Louis Academy of Science, and St. Louis Law. School by John Jay Bailey Pdf

A comparative table of the principal schemes which have been proposed for the classification of libraries ... To which is prefixed a special report on a classed catalogue of the Manchester Free Library

Edward Edwards
A comparative table of the principal schemes which have been proposed for the classification of libraries To which is prefixed a special report on a classed catalogue of the Manchester Free Library Book PDF

Author : Edward Edwards
Publisher : Unknown
Page : 48 pages
File Size : 41,5 Mb
Release : 1855
Category : Electronic
ISBN : BL:A0023719832

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A comparative table of the principal schemes which have been proposed for the classification of libraries ... To which is prefixed a special report on a classed catalogue of the Manchester Free Library by Edward Edwards Pdf

Perspectives on the History of Mathematical Logic

Thomas Drucker
Perspectives on the History of Mathematical Logic Book PDF

Author : Thomas Drucker
Publisher : Birkhäuser
Page : 232 pages
File Size : 46,8 Mb
Release : 1991-08
Category : Mathematics
ISBN : UOM:39015024771266

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Perspectives on the History of Mathematical Logic by Thomas Drucker Pdf

This volume offers insights into the development of mathematical logic over the last century. The chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked.

A Theory of Imagining, Knowing, and Understanding

Luca Tateo
A Theory of Imagining Knowing and Understanding Book PDF

Author : Luca Tateo
Publisher : Springer Nature
Page : 97 pages
File Size : 46,6 Mb
Release : 2020-03-09
Category : Psychology
ISBN : 9783030380250

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A Theory of Imagining, Knowing, and Understanding by Luca Tateo Pdf

This is a book about imaginative work and its relationship with the construction of knowledge. It is fully acknowledged by epistemologists that imagination is not something opposed to rationality; it is not mere fantasy opposed to intellect. In philosophy and cognitive sciences, imagination is generally “delimiting not much more than the mental ability to interact cognitively with things that are not now present via the senses.” (Stuart, 2017, p. 11) For centuries, scholars and poets have wondered where this capability could come from, whether it is inspired by divinity or it is a peculiar feature of human mind (Tateo, 2017b). The omnipresence of imaginative work in both every day and highly specialized human activities requires a profoundly radical understanding of this phenomenon. We need to work imaginatively in order to achieve knowledge, thus imagination must be something more than a mere flight of fantasy. Considering different stories in the field of scientific endeavor, I will try to propose the idea that the imaginative process is fundamental higher mental function that concurs in our experiencing, knowing and understanding the world we are part of. This book is thus about a theoretical idea of imagining as constant part of the complex whole we call the human psyche. It is a story of human beings striving not only for knowledge and exploration but also striving for imagining possibilities.​

A History of Cornell

Morris Bishop
A History of Cornell Book PDF

Author : Morris Bishop
Publisher : Cornell University Press
Page : 680 pages
File Size : 40,9 Mb
Release : 2014-10-15
Category : Education
ISBN : 9780801455377

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A History of Cornell by Morris Bishop Pdf

Cornell University is fortunate to have as its historian a man of Morris Bishop's talents and devotion. As an accurate record and a work of art possessing form and personality, his book at once conveys the unique character of the early university—reflected in its vigorous founder, its first scholarly president, a brilliant and eccentric faculty, the hardy student body, and, sometimes unfortunately, its early architecture—and establishes Cornell's wider significance as a case history in the development of higher education. Cornell began in rebellion against the obscurantism of college education a century ago. Its record, claims the author, makes a social and cultural history of modern America. This story will undoubtedly entrance Cornellians; it will also charm a wider public. Dr. Allan Nevins, historian, wrote: "I anticipated that this book would meet the sternest tests of scholarship, insight, and literary finish. I find that it not only does this, but that it has other high merits. It shows grasp of ideas and forces. It is graphic in its presentation of character and idiosyncrasy. It lights up its story by a delightful play of humor, felicitously expressed. Its emphasis on fundamentals, without pomposity or platitude, is refreshing. Perhaps most important of all, it achieves one goal that in the history of a living university is both extremely difficult and extremely valuable: it recreates the changing atmosphere of time and place. It is written, very plainly, by a man who has known and loved Cornell and Ithaca for a long time, who has steeped himself in the traditions and spirit of the institution, and who possesses the enthusiasm and skill to convey his understanding of these intangibles to the reader." The distinct personalities of Ezra Cornell and first president Andrew Dickson White dominate the early chapters. For a vignette of the founder, see Bishop's description of "his" first buildings (Cascadilla, Morrill, McGraw, White, Sibley): "At best," he writes, "they embody the character of Ezra Cornell, grim, gray, sturdy, and economical." To the English historian, James Anthony Froude, Mr. Cornell was "the most surprising and venerable object I have seen in America." The first faculty, chosen by President White, reflected his character: "his idealism, his faith in social emancipation by education, his dislike of dogmatism, confinement, and inherited orthodoxy"; while the "romantic upstate gothic" architecture of such buildings as the President's house (now Andrew D. White Center for the Humanities), Sage Chapel, and Franklin Hall may be said to "portray the taste and Soul of Andrew Dickson White." Other memorable characters are Louis Fuertes, the beloved naturalist; his student, Hugh Troy, who once borrowed Fuertes' rhinoceros-foot wastebasket for illicit if hilarious purposes; the more noteworthy and the more eccentric among the faculty of succeeding presidential eras; and of course Napoleon, the campus dog, whose talent for hailing streetcars brought him home safely—and alone—from the Penn game. The humor in A History of Cornell is at times kindly, at times caustic, and always illuminating.

The Philosophy of Giambattista Vico

Benedetto Croce
The Philosophy of Giambattista Vico Book PDF

Author : Benedetto Croce
Publisher : DigiCat
Page : 286 pages
File Size : 50,8 Mb
Release : 2022-06-13
Category : Fiction
ISBN : EAN:8596547058007

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The Philosophy of Giambattista Vico by Benedetto Croce Pdf

This book is a blend of Croce's exceptional brand of idealism and aesthetic philosophy with Vico's epistemological, moral, and historical ideas. Giambattista Vico is a genius of pre-Enlightenment Naples who gained fame after his death. Croce's insightful analysis of Vico's theories played a significant role in bringing the readers' attention to his unique voice.