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Mathematics as Sign

Mathematics as Sign PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804736848
Category : Mathematics
Languages : en
Pages : 188

Book Description
In this book, Rotman argues that mathematics is a vast and unique man-made imagination machine controlled by writing. It addresses both aspects—mental and linguistic—of this machine. The essays in this volume offer an insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."

Mathematics as Sign

Mathematics as Sign PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804736848
Category : Mathematics
Languages : en
Pages : 188

Book Description
In this book, Rotman argues that mathematics is a vast and unique man-made imagination machine controlled by writing. It addresses both aspects—mental and linguistic—of this machine. The essays in this volume offer an insight into Rotman's project, one that has been called "one of the most original and important recent contributions to the philosophy of mathematics."

Becoming Beside Ourselves

Becoming Beside Ourselves PDF Author: Brian Rotman
Publisher: Duke University Press
ISBN: 9780822342007
Category : Computers
Languages : en
Pages : 220

Book Description
DIVTheoretical study of the relationship between technoscience and the human body that examines the ways in which bodies and machines "speak" not just through language but also through gesture, numbers, and other non-alphabetic systems of expressio/div

The Body, Embodiment, and Education

The Body, Embodiment, and Education PDF Author: Steven A. Stolz
Publisher: Routledge
ISBN: 1000449785
Category : Education
Languages : en
Pages : 262

Book Description
Notions of the body and embodiment have become prominent across a number of established discipline areas, like philosophy, sociology, and psychology. While there has been a paradigmatic shift towards this topic, there is a notable gap in the literature as it relates to education and educational research. The Body, Embodiment and Education addresses the gap between embodiment and education by exploring conceptualisations of the body and embodiment from interdisciplinary perspectives. With contributions from international experts in philosophy, sociology, and psychology, as well as emerging areas in related fields, such as embodied cognition, neuroscience, cognitive science, this book sets a new research agenda in education and educational research. Each chapter makes a case for expanding the field and adds to the call for further exploration. The Body, Embodiment and Education will be of great interest to academics, researchers and postgraduate students who are interested in the body and embodiment and/or its relationship with education or educational research.

Fun and Software

Fun and Software PDF Author: Olga Goriunova
Publisher: Bloomsbury Publishing USA
ISBN: 1501318284
Category : Social Science
Languages : en
Pages : 297

Book Description
Fun and Software offers the untold story of fun as constitutive of the culture and aesthetics of computing. Fun in computing is a mode of thinking, making and experiencing. It invokes and convolutes the question of rationalism and logical reason, addresses the sensibilities and experience of computation and attests to its creative drives. By exploring topics as diverse as the pleasure and pain of the programmer, geek wit, affects of play and coding as a bodily pursuit of the unique in recursive structures, Fun and Software helps construct a different point of entry to the understanding of software as culture. Fun is a form of production that touches on the foundations of formal logic and precise notation as well as rhetoric, exhibiting connections between computing and paradox, politics and aesthetics. From the formation of the discipline of programming as an outgrowth of pure mathematics to its manifestation in contemporary and contradictory forms such as gaming, data analysis and art, fun is a powerful force that continues to shape our life with software as it becomes the key mechanism of contemporary society. Including chapters from leading scholars, programmers and artists, Fun and Software makes a major contribution to the field of software studies and opens the topic of software to some of the most pressing concerns in contemporary theory.

Register of Educational Research in the United Kingdom

Register of Educational Research in the United Kingdom PDF Author: National Foundation For Educational Research
Publisher: Routledge
ISBN: 1134688849
Category : Education
Languages : en
Pages : 1640

Book Description
First published in 1998. Routledge is an imprint of Taylor & Francis, an informa company.

Ad Infinitum... The Ghost in Turing's Machine

Ad Infinitum... The Ghost in Turing's Machine PDF Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 9780804721271
Category : Philosophy
Languages : en
Pages : 238

Book Description
This ambitious work puts forward a new account of mathematics-as-language that challenges the coherence of the accepted idea of infinity and suggests a startlingly new conception of counting. The author questions the familiar, classical, interpretation of whole numbers held by mathematicians and scientists, and replaces it with an original and radical alternative--what the author calls non-Euclidean arithmetic. The author's entry point is an attack on the notion of the mathematical infinite in both its potential and actual forms, an attack organized around his claim that any interpretation of "endless" or "unlimited" iteration is ineradicably theological. Going further than critique of the overt metaphysics enshrined in the prevailing Platonist description of mathematics, he uncovers a covert theism, an appeal to a disembodied ghost, deep inside the mathematical community's understanding of counting.

Word

Word PDF Author: Mariam Motamedi Fraser
Publisher: Rowman & Littlefield
ISBN: 1783481447
Category : Social Science
Languages : en
Pages : 227

Book Description
Words are everywhere. Ubiquitous, pervasive. Yet our relations with words are narrowly defined. How does the sound, feel, touch, taste, place, position, speed, and direction of words come to matter in their uses? Word begins from the premise that, if we consider words only in terms of language and as images, we overlook a range of bodily, sensory, affective and non-conscious relations with words. We overlook, too, their epistemological, methodological, experiential and political implications. This book seeks to redress this neglect by exploring words themselves in histories of language and contemporary theory, in print and typography, and through a series of empirical examples which include religion, embodiment, photography and performance. Word is a reminder that words live richly in the world. It is an invitation to recognise those non-linguistic word-relations that are already existing, and to bring new and generative encounters with words into being.

The Infinite

The Infinite PDF Author: A.W. Moore
Publisher: Routledge
ISBN: 1351381261
Category : Philosophy
Languages : en
Pages : 308

Book Description
We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.

Writing Mathematically

Writing Mathematically PDF Author: Candia Morgan
Publisher: Routledge
ISBN: 113570953X
Category : Education
Languages : en
Pages : 252

Book Description
School mathematics curricula internationally tend to emphasise problem-solving and have led to the development of opportunities for children to do maths in a more open, creative way. This has led to increased interest in 'performance-based' assessment, which involves children in substantial production of written language to serve as 'evidence' of their mathematical activity and achievement. However, this raises two important questions. Firstly, does this writing accurately present children's mathematical activity and ability? Secondly, do maths teachers have sufficient linguistic awareness to support their students in developing skills and knowledge necessary for writing effectively in their subject area? The author of this book takes a critical perspective on these questions and, through an investigation of teachers' readings and evaluations of coursework texts, identifies the crucial issues affecting the accurate assessment of school mathematics.

Osiris, Volume 38

Osiris, Volume 38 PDF Author: James Evans
Publisher: University of Chicago Press
ISBN: 0226827887
Category : History
Languages : en
Pages : 419

Book Description
Perceptively explores the shifting intersections between algorithmic systems and human practices in the modern era. How have algorithmic systems and human practices developed in tandem since 1800? This volume of Osiris deftly addresses the question, dispelling along the way the traditional notion of algorithmic “code” and human “craft” as natural opposites. Instead, algorithms and humans have always acted in concert, depending on each other to advance new knowledge and produce social consequences. By shining light on alternative computational imaginaries, Beyond Craft and Code opens fresh space in which to understand algorithmic diversity, its governance, and even its conservation. The volume contains essays by experts in fields extending from early modern arithmetic to contemporary robotics. Traversing a range of cases and arguments that connect politics, historical epistemology, aesthetics, and artificial intelligence, the contributors collectively propose a novel vocabulary of concepts with which to think about how the history of science can contribute to understanding today’s world. Ultimately, Beyond Craft and Code reconfigures the historiography of science and technology to suggest a new way to approach the questions posed by an algorithmic culture—not only improving our understanding of algorithmic pasts and futures but also unlocking our ability to better govern our present.