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Author: Geoffrey Hellman
Publisher: Oxford University Press
ISBN: 019871274X
Category : Mathematics
Languages : en
Pages : 219
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Book Description
Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.
Author: Geoffrey Hellman
Publisher: Oxford University Press
ISBN: 019871274X
Category : Mathematics
Languages : en
Pages : 219
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Book Description
Hellman and Shapiro explore the development of the idea of the continuous, from the Aristotelian view that a true continuum cannot be composed of points to the now standard, entirely punctiform frameworks for analysis and geometry. They then investigate the underlying metaphysical issues concerning the nature of space or space-time.
Author: Marcus Bergh
Publisher: First Edition Design Pub.
ISBN: 1622874730
Category : Science
Languages : en
Pages : 296
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Book Description
The one world problem has been central to knowledge for ages. Of many approaches none has resolved the problem. With great increases in knowledge there is now sufficient ideas, concepts and means to show a unified ultimate totality. Actual Totality is a book whose proofs and detail provide the needed resolution. The approach to unity is by forty types of proof from non-existence to their combined sum. It features those universals, qualities, continua, kinds, and varieties of actual totality whose proofs are most certain. Certainty of proofs produces axioms that are most recognizable as laws. Each type of proof has different laws whose integration and representation give excellent proof of actual totality. Dependence on the observer observed relationship is the basis for relativity. Dependence on the definite absolute quality of the human mind and person is the basis for the absoluteness seen in identity and self-preservation. Mind and matter are part of a continuum that is the basis and proof of actual totality. Many other continuums make up actual totality, including general and special, mass energy, length, time, static and dynamic. The continua are dualities whose spectra form gradients. It is these gradients that make up much of the detail and differential whose vertical integration proves actual totality. The physical universe and the relative universe of civilization, best human life and mind are large components of the general to special spectrum and varieties of actual totality. There is massive interaction and potential to actual existence in and out of actual totality. This occurs with increasing time. In the near to mid-term actual totality is stable, and can be treated as a closed set. In the far term both the actual and potential of actual totality undergo adaptation and alteration that best suits their existence with change. With good representation an overview of the difference between actual totality as a stable and relatively exclusive world and potential changes in the long term become clear. The many revolutions that accompany change and the role of language, math, proportions, geometry, design, propelling and compelling forces that determine creation and evolution of life all reveal proofs of actual totality. The core of actual totality, or actual totality proper, is centered on the here and now that proves unity in totality. The individual, groups, and lives of all people more or less contribute to the whole depending on productivity that is most beneficial to the whole. This is largely dependent on knowledge, and its kinds. Universal knowledge of the highest kind is the great dynamo of advancing actual totality. How well actual totality supplies this need is the most important problem and solution of the next hundreds to thousands of years. It is survival over extinction whose success will depend largely on proactive planning, prevention, preparation, management and control. They can be used to guide each and all persons to a better unified world, by actual totality.
Author: Massimo Cerruti
Publisher: John Benjamins Publishing Company
ISBN: 9027261334
Category : Language Arts & Disciplines
Languages : en
Pages : 266
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Book Description
The papers in this volume address the interplay of factors underlying the formation of intermediate varieties in the ‘dialect-standard’ landscape of present-day Europe. Research is presented on varieties of several different languages (Norwegian, Dutch, German, Italian, Spanish, Greek), on speech communities with different (geo)political and sociolinguistic histories, as well as on previously unexplored sociolinguistic situations. The contributions all share the twin characteristics of (a) robust scrutiny of structural variation and its links to both structural-systemic parameters and extralinguistic variables and (b) nuanced approaches to macro- and micro- level categories, with the requisite theoretical and methodological fine-tuning. While focusing on different languages/language groups, the papers in this volume share the common foci of bringing together structural and sociolinguistic considerations and of the concomitant necessary revisiting of methodologies. The data and analyses presented yield a firmer and more nuanced understanding of the dynamic permutations of cross-dialectal and dialect-to-standard convergence and the formation of intermediate varieties in different yet comparable contexts.
Author: William Robert O'Donnell
Publisher: Psychology Press
ISBN: 0415084377
Category : Language Arts & Disciplines
Languages : en
Pages : 157
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Book Description
This newly up-dated second edition provides a concise and comprehensive exploration of the complex variations to which a language is subject. The English language has spread a lot over the last few centuries and this takes
Author: W.R. O'Donnell
Publisher: Routledge
ISBN: 113488785X
Category : Language Arts & Disciplines
Languages : en
Pages : 157
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Book Description
First Published in 1992. This is an exploration of the complex kinds of variation which occur in and between written and spoken English. Dialect, Pidgeon and Creole English are examined and the types of lingustics employed in advertising, literature and the classroom are discussed. The book is intended as an introduction to the study of English language. It is aimed primarily at college and university students, particularly thosed who are likely to find themselves teaching a language. It may also appeal to teachers, the general reader and sixth form pupils.
Author: Gerhard Jäger
Publisher: Springer
ISBN: 3319633341
Category : Mathematics
Languages : en
Pages : 617
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Book Description
This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. Feferman’s work was largely based in mathematical logic (namely model theory, set theory, proof theory and computability theory), but also branched out into methodological and philosophical issues, making it well known beyond the borders of the mathematics community. With regard to methodological issues, Feferman supported concrete projects. On the one hand, these projects calibrate the proof theoretic strength of subsystems of analysis and set theory and provide ways of overcoming the limitations imposed by Gödel’s incompleteness theorems through appropriate conceptual expansions. On the other, they seek to identify novel axiomatic foundations for mathematical practice, truth theories, and category theory. In his philosophical research, Feferman explored questions such as “What is logic?” and proposed particular positions regarding the foundations of mathematics including, for example, his “conceptual structuralism.” The contributing authors of the volume examine all of the above issues. Their papers are accompanied by an autobiography presented by Feferman that reflects on the evolution and intellectual contexts of his work. The contributing authors critically examine Feferman’s work and, in part, actively expand on his concrete mathematical projects. The volume illuminates Feferman’s distinctive work and, in the process, provides an enlightening perspective on the foundations of mathematics and logic.
Author: Stewart Shapiro
Publisher: Oxford University Press, USA
ISBN: 0198809646
Category : Mathematics
Languages : en
Pages : 593
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Book Description
Mathematical and philosophical thought about continuity has changed considerably over the ages, from Aristotle's insistence that a continuum is a unified whole, to the dominant account today, that a continuum is composed of infinitely many points. This book explores the key ideas and debates concerning continuity over more than 2500 years.
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Publisher:
ISBN:
Category : Industrial safety
Languages : en
Pages : 740
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Book Description
Author: R Brewer
Publisher: CSIRO PUBLISHING
ISBN: 0643106189
Category : Science
Languages : en
Pages : 235
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Book Description
Soil Structure and Fabric sets out a method of describing the structure and fabric of soils that proceeds consistently from macroscopic descriptions in the field to descriptions from standard thin sections as viewed with a light microscope. Most of the book is devoted to the description and classification of the microscopic characteristics of soils.
Author: Kingsley Bolton
Publisher: Taylor & Francis
ISBN: 9780415315074
Category : Language Arts & Disciplines
Languages : en
Pages : 520
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Book Description
