Taking God Out of Mathematics and Putting the Body Back in

Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 0804721270
Release Date: 1993
Genre: Philosophy

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.

Becoming Beside Ourselves

Author: Brian Rotman
Publisher: Duke University Press
ISBN: 9780822389118
Release Date: 2008-06-25
Genre: Computers

Becoming Beside Ourselves continues the investigation that the renowned cultural theorist and mathematician Brian Rotman began in his previous books Signifying Nothing and Ad Infinitum...The Ghost in Turing’s Machine: exploring certain signs and the conceptual innovations and subjectivities that they facilitate or foreclose. In Becoming Beside Ourselves, Rotman turns his attention to alphabetic writing or the inscription of spoken language. Contending that all media configure what they mediate, he maintains that alphabetic writing has long served as the West’s dominant cognitive technology. Its logic and limitations have shaped thought and affect from its inception until the present. Now its grip on Western consciousness is giving way to virtual technologies and networked media, which are reconfiguring human subjectivity just as alphabetic texts have done for millennia. Alphabetic texts do not convey the bodily gestures of human speech: the hesitations, silences, and changes of pitch that infuse spoken language with affect. Rotman suggests that by removing the body from communication, alphabetic texts enable belief in singular, disembodied, authoritative forms of being such as God and the psyche. He argues that while disembodied agencies are credible and real to “lettered selves,” they are increasingly incompatible with selves and subjectivities formed in relation to new virtual technologies and networked media. Digital motion-capture technologies are restoring gesture and even touch to a prominent role in communication. Parallel computing is challenging the linear thought patterns and ideas of singularity facilitated by alphabetic language. Barriers between self and other are breaking down as the networked self is traversed by other selves to become multiple and distributed, formed through many actions and perceptions at once. The digital self is going plural, becoming beside itself.

Weaving Self evidence

Author: Claude Rosental
Publisher: Princeton University Press
ISBN: 0691139407
Release Date: 2008
Genre: Mathematics

The development of theorems in logic is generally thought to be a solitary and purely cerebral activity, and therefore unobservable by sociologists. In Weaving Self-Evidence, French sociologist Claude Rosental challenges this notion by tracing the history of one well-known recent example in the field of artificial intelligence--a theorem on the foundations of fuzzy logic. Rosental's analyses disclose the inherently social nature of the process by which propositions in logic are produced, disseminated, and established as truths. Rosental describes the different phases of the emergence of the theorem on fuzzy logic, from its earliest drafts through its publication and diffusion, discussion and reformulation, and eventual acceptance by the scientific community. Through observations made at major universities and scholarly conferences, and in electronic forums, he looks at the ways students are trained in symbolic manipulations and formal languages and examines how researchers work, interact, and debate emerging new ideas. By carefully analyzing the concrete mechanisms that lead to the collective development and corroboration of proofs, Rosental shows how a logical discovery and its recognition within the scholarly community are by no means the product of any one individual working in isolation, but rather a social process that can be observed and studied. Weaving Self-Evidence will interest students and researchers in sociology and the history and philosophy of science and technology, and anyone curious about how scientists work.

Motion and Representation

Author: Nicolás Salazar Sutil
Publisher: MIT Press
ISBN: 9780262028882
Release Date: 2015-05-08
Genre: Art

An examination of the ways human movement can be represented as a formal language and how this language can be mediated technologically.

Mathematics as Sign

Author: Brian Rotman
Publisher: Stanford University Press
ISBN: 0804736847
Release Date: 2000
Genre: Mathematics

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."

Athen um

Author:
Publisher:
ISBN: 3506709593
Release Date: 2000
Genre: German literature


Semiotica

Author:
Publisher:
ISBN: UOM:39015067508260
Release Date: 1999
Genre: Linguistics


Choice

Author: Association of College and Research Libraries
Publisher:
ISBN: 00094978
Release Date: 1994
Genre:


The social life of numbers

Author: Gary Urton
Publisher: Univ of Texas Pr
ISBN: UVA:X004114940
Release Date: 1997
Genre: Social Science

Unraveling all the mysteries of the khipu --the knotted string device used by the Inka to record both statistical data and narrative accounts of myths, histories, and genealogies--will require an understanding of how number values and relations may have been used to encode information on social, familial, and political relationships and structures. This is the problem Gary Urton tackles in his pathfinding study of the origin, meaning, and significance of numbers and the philosophical principles underlying the practice of arithmetic among Quechua-speaking peoples of the Andes. Based on fieldwork in communities around Sucre, in south-central Bolivia, Urton argues that the origin and meaning of numbers were and are conceived of by Quechua-speaking peoples in ways similar to their ideas about, and formulations of, gender, age, and social relations. He also demonstrates that their practice of arithmetic is based on a well-articulated body of philosophical principles and values that reflects a continuous attempt to maintain balance, harmony, and equilibrium in the material, social, and moral spheres of community life.