Poetic Logic And The Origins Of The Mathematical Imagination
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Poetic Logic And The Origins Of The Mathematical Imagination
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2023-09-02
Poetic Logic And The Origins Of The Mathematical Imagination written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-02 with Mathematics categories.
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.
Poetic Logic And The Origins Of The Mathematical Imagination
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Author : Marcel Danesi
language : en
Publisher:
Release Date : 2023
Poetic Logic And The Origins Of The Mathematical Imagination written by Marcel Danesi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
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
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Author : Matthew Handelman
language : en
Publisher: Fordham Univ Press
Release Date : 2019-03-05
The Mathematical Imagination written by Matthew Handelman and has been published by Fordham Univ Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-05 with Philosophy categories.
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.
Scenarios Fictions And Imagined Possibilities In Science Engineering And Education
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Author : Daria Bylieva
language : en
Publisher: Springer Nature
Release Date : 2024-11-12
Scenarios Fictions And Imagined Possibilities In Science Engineering And Education written by Daria Bylieva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-12 with Computers categories.
This book presents the proceedings of the 24th International Conference Professional Culture of the Specialist of the Future. Professionals and experts in all fields need to be prepared to handle unfamiliar situations. Some of these are unexpected events that may occur quite suddenly out of the blue, and others may emerge in the course of technological development or predicted trends. In order to successfully confront the future, professionals therefore need to engage in hypothetical thinking as they entertain concrete scenarios or fictitious possibilities. Scientists and engineers lead the way when they employ thought experiments and systematically consider alternative realities. Educators come up with creative approaches to foster the “art of the as-if.” This highly interdisciplinary collection of 50 papers discusses the theoretical challenge of hypothetical thinking and presents practical strategies for its promotion.
The Mathematical Imagination
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Author : Matthew Handelman
language : en
Publisher: Fordham Univ Press
Release Date : 2019-03-05
The Mathematical Imagination written by Matthew Handelman and has been published by Fordham Univ Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-05 with Philosophy categories.
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.
Image Schema Theory And Mathematical Cognition
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Author : Marcel Danesi
language : en
Publisher: Springer Nature
Release Date : 2025-04-10
Image Schema Theory And Mathematical Cognition written by Marcel Danesi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-10 with Mathematics categories.
This book uses blending theory in math cognition, and assesses the main aspect of this theory, called image schema theory. Applied work in math pedagogy has used this theory, but no work has assessed its validity. This book provides an overall assessment of the theory with regard to its validity in the study of math cognition. Overall, this book presents image schema theory as it has evolved today to mathematicians, cognitive scientists, and math educators, deriving from it any concrete implications for modeling math in computer science and, on the other side, for making math pedagogy more effective.
Logic Of Imagination
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Author : John Sallis
language : en
Publisher: Indiana University Press
Release Date : 2012-07-20
Logic Of Imagination written by John Sallis and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-20 with Philosophy categories.
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.
Force Of Imagination
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Author : John Sallis
language : en
Publisher: Indiana University Press
Release Date : 2000
Force Of Imagination written by John Sallis and has been published by Indiana University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Philosophy categories.
Force of Imagination The Sense of the Elemental John Sallis A bold and original investigation into how imagination shapes thought and feeling. "This is a bold new direction for the author, one that he takes in an arresting and convincing manner.... a powerful, original approach to what others call 'ecology' but what Sallis shows to be a question of the status of the earth in philosophical thinking at this historical moment." --Edward S. Casey In this major original work, John Sallis probes the very nature of imagination and reveals how the force of imagination extends into all spheres of human life. While drawing critically on the entire history of philosophy, Sallis's work takes up a vantage point determined by the contemporary deconstruction of the classical opposition between sensible and intelligible. Thus, in reinterrogating the nature of imagination, Force of Imagination carries out a radical turn to the sensible and to the elemental in nature. Liberated from subjectivity, imagination is shown to play a decisive role both in drawing together the moments of our experience of sensible things and in opening experience to the encompassing light, atmosphere, earth, and sky. Set within this elemental expanse, the human sense of time, of self, and of the other proves to be inextricably linked to imagination and to nature. By showing how imagination is formative for the very opening upon things and elements, this work points to the revealing power of poetic imagination and casts a new light on the nature of art. John Sallis is Liberal Arts Professor of Philosophy at Pennsylvania State University. His previous books include Being and Logos: Reading the Platonic Dialogues; Shades--Of Painting at the Limit; Stone; Chorology: On Beginning in Plato's Timaeus (all published by Indiana University Press), Crossings: Nietzsche and the Space of Tragedy and Double Truth. Studies in Continental Thought--John Sallis, editor Contents Prolusions On (Not Simply) Beginning Remembrance Duplicity of the Image Spacing the Image Tractive Imagination The Elemental Temporalities Proprieties Poetic Imagination
David Hume
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Author : Claudia M. Schmidt
language : en
Publisher: Penn State Press
Release Date : 2010-11-01
David Hume written by Claudia M. Schmidt and has been published by Penn State Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-01 with Philosophy categories.
In his seminal Philosophy of David Hume (1941), Norman Kemp Smith called for a study of Hume &"in all his manifold activities: as philosopher, as political theorist, as economist, as historian, and as man of letters,&" indicating that &"Hume's philosophy, as the attitude of mind that found for itself these various forms of expression, will then have been presented, adequately and in due perspective, for the first time.&" Claudia Schmidt seeks to address this long-standing need in Hume scholarship. Against the charges that Hume holds no consistent philosophical position, offers no constructive account of rationality, and sees no positive relation between philosophy and other areas of inquiry, Schmidt argues for the overall coherence of Hume's thought as a study of &"reason in history.&" She develops this interpretation by tracing Hume's constructive account of human cognition and its historical dimension as a unifying theme across the full range of his writings. Hume, she shows, provides a positive account of the ways in which our concepts, beliefs, emotions, and standards of judgment in different areas of inquiry are shaped by experience, both in the personal history of the individual and in the life of a community. This book is valuable at many levels: for students, as an introduction to Hume's writings and issues in their interpretation; for Hume specialists, as a unified and intriguing interpretation of his thought; for philosophers generally, as a synthesis of recent developments in Hume scholarship; and for scholars in other disciplines, as a guide to Hume's contributions to their own fields.
Semiotics Around The World Synthesis In Diversity
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Author : Irmengard Rauch
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-10-12
Semiotics Around The World Synthesis In Diversity written by Irmengard Rauch and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-12 with Language Arts & Disciplines categories.
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