Simplicity: Ideals of Practice in Mathematics and the Arts

Simplicity: Ideals of Practice in Mathematics and the Arts PDF Author: Roman Kossak
Publisher: Springer
ISBN: 3319533851
Category : Mathematics
Languages : en
Pages : 314

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Book Description
To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.

Simplicity: Ideals of Practice in Mathematics and the Arts

Simplicity: Ideals of Practice in Mathematics and the Arts PDF Author: Roman Kossak
Publisher: Springer
ISBN: 3319533851
Category : Mathematics
Languages : en
Pages : 314

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Book Description
To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.

Complexity / simplicity

Complexity / simplicity PDF Author: Sarah Cardwell
Publisher: Manchester University Press
ISBN: 1526148749
Category : Performing Arts
Languages : en
Pages : 161

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Book Description
An exciting new strand in The Television Series, the ‘Moments in Television’ collections celebrate the power and artistry of television, whilst interrogating key critical concepts in television scholarship. Each ‘Moments’ book is organised around a provocative binary theme. Complexity / simplicity addresses the idea of complex TV, examining its potential, limitations and impact upon creative and interpretative practices. It also reassesses simplicity as an alternative criterion for evaluation. Complexity and simplicity persuasively illuminate the book’s chosen programmes in new ways. The book explores an eclectic range of TV fictions, dramatic and comedic. Contributors from diverse perspectives come together to expand and enrich the kind of close analysis most commonly found in television aesthetics. Sustained, detailed programme analyses are sensitively framed within historical, technological, institutional, cultural, creative and art-historical contexts.

Philosophy of Logic and Mathematics

Philosophy of Logic and Mathematics PDF Author: Gabriele M. Mras
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110657880
Category : Philosophy
Languages : en
Pages : 559

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Book Description
This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.

99 Variations on a Proof

99 Variations on a Proof PDF Author: Philip Ording
Publisher: Princeton University Press
ISBN: 0691218978
Category : Mathematics
Languages : en
Pages : 272

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Book Description
An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) PDF Author: Boyan Sirakov
Publisher: World Scientific
ISBN: 9813272899
Category : Mathematics
Languages : en
Pages : 5393

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Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Humanizing Mathematics and its Philosophy

Humanizing Mathematics and its Philosophy PDF Author: Bharath Sriraman
Publisher: Birkhäuser
ISBN: 331961231X
Category : Mathematics
Languages : en
Pages : 357

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Book Description
This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.

Research Companion to Language and Country Branding

Research Companion to Language and Country Branding PDF Author: Irene Theodoropoulou
Publisher: Routledge
ISBN: 1000214400
Category : Foreign Language Study
Languages : en
Pages : 409

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Book Description
Research Companion to Language and Country Branding brings together entirely new interdisciplinary research conducted by scholars working on various sociolinguistic, semiotic, anthropological and discursive analytical aspects of country branding all over the world. Branding is a process of identity construction, whereby countries gain visibility and put themselves on the world map as distinctive entities by drawing on their history, culture, economy, society, geography, and their people. Through branding, countries aim not only at establishing their uniqueness but also, and perhaps most importantly, at attracting tourism, investments, high quality human capital, as well as at forging financial, military, political and social alliances. Against this backdrop, this volume explores how countries and regions imagine and portray others and themselves in terms of gender, ethnicity, and diversity today as well as the past. In this respect, the book examines how branding differs from other, related policies and practices, such as nation building, banal nationalism, and populism. This volume is an essential reference for students, researchers, and practitioners with an interest in country, nation, and place branding processes.

Shapes in Action

Shapes in Action PDF Author: Kirsi Peltonen
Publisher: Aalto korkeakoulusäätiö
ISBN: 9526414012
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Shapes in Action is a book for all those interested in interdisciplinary research and education. It showcases explorations in the realms of mathematics, art, design and architecture at Aalto University in Finland. For a decade, Aalto Math&Arts has been a platform for students and teachers from diverse fields to broaden their understanding of the nature of mathematics and its potential relation to arts, design and architecture. Shapes in Action captures the challenges and rewards of seeking a common language and building collaboration. Contributions by various authors offer insights into the connections between mathematics and arts – both within and beyond academia. Shapes in Action is richly illustrated with photographs showcasing the works created by students in the Aalto Math&Arts courses.

The Philosophy of Penelope Maddy

The Philosophy of Penelope Maddy PDF Author: Sophia Arbeiter
Publisher: Springer Nature
ISBN: 3031584252
Category :
Languages : en
Pages : 526

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Book Description


Wittgenstein on Music

Wittgenstein on Music PDF Author: Eran Guter
Publisher:
ISBN: 1009313738
Category : Philosophy
Languages : en
Pages : 86

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Book Description
In this Element, the author set out to answer a twofold question concerning the importance of music to Wittgenstein's philosophical progression and the otherness of this sort of philosophical importance vis-...-vis philosophy of music as practiced today in the analytic tradition. The author starts with the idea of making music together and with Wittgenstein's master simile of language-as-music. The author traces these themes as they play out in Wittgenstein early, middle, and later periods. The author argues that Wittgenstein's overarching reorientation of the concept of depth pertaining to music in the aftermath of his anthropological turn, and against the backdrop of the outlook of German Romanticism, culminates in his unique view of musical profundity as 'knowledge of people.' This sets Wittgenstein's view in sharp contrast with certain convictions and debates that typify current analytically inclined philosophy of music.