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Poetic Logic And The Origins Of The Mathematical Imagination
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Book Synopsis Poetic Logic and the Origins of the Mathematical Imagination by : Marcel Danesi
Download or read book Poetic Logic and the Origins of the Mathematical Imagination written by Marcel Danesi and published by Springer Nature. This book was released on 2023-09-02 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Poetic Logic and the Origins of the Mathematical Imagination by : Marcel Danesi
Download or read book Poetic Logic and the Origins of the Mathematical Imagination written by Marcel Danesi and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Mathematical Imagination by : Matthew Handelman
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 287 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. The Mathematical Imagination is available from the publisher on an open-access basis.
Book Synopsis The Mathematical Imagination by : Matthew Handelman
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 225 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. The Mathematical Imagination is available from the publisher on an open-access basis.
Book Synopsis A Course in Mathematical Logic for Mathematicians by : Yu. I. Manin
Download or read book A Course in Mathematical Logic for Mathematicians written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.
Book Synopsis Blending Logic and Imagination by : Marcel Danesi
Download or read book Blending Logic and Imagination written by Marcel Danesi and published by Nova Science Publishers. This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Lewis Carroll is known mainly for his children's novels and poems. Throughout these ingenious works he interspersed riddles, math and logic games, and a host of other puzzles, reflecting his interest in the ludic (playful) imagination. It is not widely known that Carroll is one of the greatest puzzle makers of history, composing them not only for children, but also for adults in magazines, periodicals, and books. One of his puzzle masterpieces is the so-called doublet puzzle, which he wrote for Vanity Fair, and is still one of the most loved wordplay games to this day. There have been various anthologies of Carroll's puzzles in recent decades, but virtually no study of their importance as part of a unique "puzzle art" exists. This book aims to examine this art as it manifests itself in Carroll's many puzzle creations, both within his novels, and in his many other writings. It dissects the blend of logic and imagination that he employs in creating riddles, anagrams, acrostics, math puzzles, logic games, and a host of other puzzle genres-all of which are discussed in the book. The main theme is that Carroll's literary writings cannot be truly grasped without taking into account his puzzle art"--
Book Synopsis Kafka, Gothic and Fairytale by : Patrick Bridgwater
Download or read book Kafka, Gothic and Fairytale written by Patrick Bridgwater and published by BRILL. This book was released on 2021-11-08 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Life & Legacy of the Most Influential Women in History by : Elizabeth Cady Stanton
Download or read book The Life & Legacy of the Most Influential Women in History written by Elizabeth Cady Stanton and published by e-artnow. This book was released on 2021-05-07 with total page 4407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Musaicum Books presents to you memoirs, biographies and stories about the most incredible women in history, their lives and their legacies: Eighty Years and More by Elizabeth Cady Stanton Helen Keller: The Story of My Life Harriet Tubman, the Moses of Her People Reminiscences by Julia Ward Howe My Own Story by Emmeline Pankhurst The Autobiography of Mother Jones Sweeper in the Sky: The Life of Maria Mitchell Margaret Sanger: An Autobiography The Life of Florence Nightingale The Grimké Sisters Roswitha the Nun Marie de France Mechthild of Magdeburg Countess of Artois Christine de Pisan Agnes Sorel Alcestis Antigone Iphigenia Paula Catherine Douglas Lady Jane Grey Flora Macdonald Madame Roland Grace Darling Sister Dora Florence Nightingale Lucretia Sappho Aspasia of Pericles Xantippe Aspasia of Cyrus Cornelia, the Mother of the Gracchi Portia Octavia Cleopatra Mariamne Julia Domna Zenobia Valeria Eudocia Hypatia The Wife of Maximus The Lady Rowena Olga The Lady Elfrida The Countess of Tripoli Jane, Countess of Mountfort Laura de Sade The Countess of Richmond Elizabeth Woodville Jane Shore Catharine of Arragon Augustina Saragoza Charlotte Brontë… Marie Antoinette Sarah Siddons Mrs Grant Elizabeth Inchbald Elizabeth Hamilton Countess de Vemieiro Joanna Baillie Josephine Anne Radcliffe Miss Edgeworth Charlotte Corday Madame de Stael Madame de la Rochejaquelein Madame Recamier Mary Brunton Felicia Hemans Augustina Saragoza Charlotte Bronte Queen Anne Esther Johnson Esther Vanhomrigh Mary Astell Madame des Ursins Lady Grizel Jerviswoode Madame de Pontchartrain Elizabeth Halkett Lady Mary Wortley Montagu Madame du Deffand Phœbe Bentley Marquise du Chatelet Lady Huntingdon Flora Macdonald Madame Roland Grace Darling Sister Dora Maria Theresa Meta Moller Elizabeth Blackwell Lætitia Barbauld Hannah More Anna Seward Catherine Cockburn Elizabeth Berkeleigh...
Book Synopsis My Best Mathematical and Logic Puzzles by : Martin Gardner
Download or read book My Best Mathematical and Logic Puzzles written by Martin Gardner and published by Courier Corporation. This book was released on 2013-04-10 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The noted expert selects 70 of his favorite "short" puzzles, including such mind-bogglers as The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and dozens more involving logic and basic math. Solutions included.
Book Synopsis Catalogue ... of the books of the St. Louis public school library by : John Jay Bailey
Download or read book Catalogue ... of the books of the St. Louis public school library written by John Jay Bailey and published by . This book was released on 1870 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Memoirs of Libraries by : Edward Edwards
Download or read book Memoirs of Libraries written by Edward Edwards and published by . This book was released on 1859 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Logic of Imagination by : John Sallis
Download or read book Logic of Imagination written by John Sallis and published by Indiana University Press. This book was released on 2012-07-20 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Shakespearean image of a tempest and its aftermath forms the beginning as well as a major guiding thread of Logic of Imagination. Moving beyond the horizons of his earlier work, Force of Imagination, John Sallis sets out to unsettle the traditional conception of logic, to mark its limits, and, beyond these limits, to launch another, exorbitant logic—a logic of imagination. Drawing on a vast range of sources, including Plato, Aristotle, Kant, Hegel, Nietzsche, and Freud, as well as developments in modern logic and modern mathematics, Sallis shows how a logic of imagination can disclose the most elemental dimensions of nature and of human existence and how, through dialogue with contemporary astrophysics, it can reopen the project of a philosophical cosmology.
Book Synopsis Catalogue, Classified and Alphabetical, of the Books of the St. Louis Public School Library by : St. Louis Public Schools (Saint Louis, Mo.). Library
Download or read book Catalogue, Classified and Alphabetical, of the Books of the St. Louis Public School Library written by St. Louis Public Schools (Saint Louis, Mo.). Library and published by . This book was released on 1870 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 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
Download or read book 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 written by John Jay Bailey and published by . This book was released on 1870 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis 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
Download or read book 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 written by Edward Edwards and published by . This book was released on 1855 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Cambridge History of Eighteenth-century Philosophy by : Knud Haakonssen
Download or read book The Cambridge History of Eighteenth-century Philosophy written by Knud Haakonssen and published by Cambridge University Press. This book was released on 2006 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
