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Not Trivial

Author: Laurie Endicott Thomas
ISBN: 9781938634994
Size: 50.63 MB
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Why phonics and grammar are not trivial. Why have our political discussions in the United States become so ugly and pointless? Why are we suffering from such a breakdown in civility? In Not Trivial: How Studying the Traditional Liberal Arts Can Set You Free, Laurie Endicott Thomas explains that the problem boils down to education. The word civility originally meant training in the liberal arts. The classical liberal arts were a set of seven disciplines that were developed largely in ancient Athens to promote productive political discussions within Athenian democracy. They included three verbal arts (the trivium): grammar, logic, and rhetoric. They also included four arts of number, space, and time (the quadrivium): mathematics, geometry, music, and astronomy. These arts helped students learn to think rationally and to express themselves persuasively. The ancient Romans called these studies the liberal arts because they were considered appropriate for freeborn men, as opposed to slaves. Slaves were taught only the servile and mechanical arts, to make them more productive as workers. During the Renaissance, the classical liberal arts curriculum was supplemented by the humanities, including history, philosophy, literature, and art. Like the liberal arts, the humanities were intended to promote productive and even pleasant discussions among political decision-makers. Today, the sciences would have to be added to that curriculum. Thomas explains that the problems in our political system start in first grade. Our teachers are being trained and often forced to use a method of reading instruction that does not work. As a result, many children suffer from lifelong problems with reading. Our teachers are also being pressured to neglect the teaching of grammar. As a result, many children end up with poor reading comprehension and lifelong problems with logical thinking. Thus, they will have difficulty in making or appreciating reasonable arguments. Thomas argues that we cannot hope to enjoy freedom and equality until all children get the kind of education that is appropriate for free people. She concludes with a clear explanation of what that curriculum would be like.

To Cognize The Obviousness

Author: Vladlen V.K.
Publisher: Strategic Book Publishing
ISBN: 1622127692
Size: 79.63 MB
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Probably there is no man in the world, who sooner or later hasn't asked himself the questions: Who is he? Where has he come from? Where is the origin of world in which he lives? Where does this world race with incredible speed? If you, gentle reader, are plagued with similar questions, if you are not satisfied with the current explanations of the world arrangement, if you want to know more than conventional forms of social consciousness (science, philosophy, religion) can propose, read this small book. It will not take much of your time, but you will learn and understand the main thing that enables you look at the world and yourself with quite different eyes. There is no mysticism, no fiction, and no fantasy in this book. It contains only descriptions of that existing in reality, a reality multileveled. The main purpose of this work is to introduce a nontrivial world outlook to a wide audience, to the general public. The author of this book is a Ph.D. and former employee of scientific research organizations and institutes. He constantly traces development of philosophical thought as well as advances in science and technology.This manuscript is a product of many years of observations, analysis, and synthesis of large amount of material accumulated in the course of human activity. This book did not appear suddenly, and not immediately. First guesses and ideas, concerning essence of evolution and world arrangement, came over 30 years ago and since then the author reflects on it regularly. Publisher's website: http: //

Positive Definite Unimodular Lattices With Trivial Automorphism Groups

Author: Etsuko Bannai
Publisher: American Mathematical Soc.
ISBN: 0821824910
Size: 53.60 MB
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In this book the author proves that there exists a lattice with trivial automorphism group in every genus of positive definite unimodular Z-lattices of rank m (with m greater than or equal to 43 for the odd unimodular case and m greater than or equal to 144 for the even unimodular case). Siegel's mass formulas for lattices (for both orthogonal and hermitian cases) are used in the proof. In addition, the author shows that, for those positive definite unimodular Z-lattices in the given genus and of rank m, the ratio of the mass of classes approaches 0 very rapidly as m increases. The book is intended for researchers and advanced graduate students in the areas of number theory and quadratic forms.

Fashion As Communication

Author: Malcolm Barnard
Publisher: Routledge
ISBN: 1136413049
Size: 41.63 MB
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What kinds of things do fashion and clothing say about us? What does it mean to wear Gap or Gaultier, Milletts or Moschino? Are there any real differences between Hip-Hop style and Punk anti-styles? In this fully revised and updated edition, Malcolm Barnard introduces fashion and clothing as ways of communicating and challenging class, gender, sexual and social identities. Drawing on a range of theoretical approaches from Barthes and Baudrillard to Marxist, psychoanalytic and feminist theory, Barnard addresses the ambivalent status of fashion in contemporary culture.

Philosophical Problems Of Space And Time

Author: Adolf Grünbaum
Publisher: Springer Science & Business Media
ISBN: 940102622X
Size: 61.92 MB
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It is ten years since Adolf Griinbaum published the first edition of this book. It was promptly recognized to be one of the few major works in the philosophy of the natural sciences of this generation. In part, this is so because Griinbaum has chosen a problem basic both to philosophy and to the natural sciences - the nature of space and time; and in part, this is so because he so admirably exemplifies that Aristotelian devotion to the intimate and mutual dependence of actual science and philosophical understanding. More than this, however, the quality of his work derives from his achievement in combining detail with scope. The problems of space and time have been among the most difficult in contemporary and classical thought, and Griinbaum has been responsible to the full depth and complexity of these difficulties. This revised and enlarged second edition is a work in progress, in the tradition of reflective analysis of modern science of such figures as Ehrenfest and Reichenbach. In publishing this work among the Boston Studies in the Philosophy of Science, we hope to contribute to and encourage that broad tradition of natural philosophy which is marked by the close collaboration of philoso phers and scientists. To this end, we have published the proceedings of our Colloquia, of meetings and conferences here and abroad, as well as the works of single authors.

Transformational Plane Geometry

Author: Ronald N. Umble
Publisher: CRC Press
ISBN: 1482234718
Size: 68.59 MB
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Designed for a one-semester course at the junior undergraduate level, Transformational Plane Geometry takes a hands-on, interactive approach to teaching plane geometry. The book is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. The text adheres to the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Common Core State Standards Initiative Standards for Mathematical Practice. Future teachers will acquire the skills needed to effectively apply these standards in their classrooms. Following Felix Klein’s Erlangen Program, the book provides students in pure mathematics and students in teacher training programs with a concrete visual alternative to Euclid’s purely axiomatic approach to plane geometry. It enables geometrical visualization in three ways: Key concepts are motivated with exploratory activities using software specifically designed for performing geometrical constructions, such as Geometer’s Sketchpad. Each concept is introduced synthetically (without coordinates) and analytically (with coordinates). Exercises include numerous geometric constructions that use a reflecting instrument, such as a MIRA. After reviewing the essential principles of classical Euclidean geometry, the book covers general transformations of the plane with particular attention to translations, rotations, reflections, stretches, and their compositions. The authors apply these transformations to study congruence, similarity, and symmetry of plane figures and to classify the isometries and similarities of the plane.

Meaning Through Language Contrast

Author: Katarzyna Jaszczolt
Publisher: John Benjamins Publishing
ISBN: 9781588112064
Size: 33.29 MB
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These volumes contain selected papers from the Second International Conference on Contrastive Semantics and Pragmatics that was held at Newnham College, University of Cambridge, in September 2000. They include papers on negation, temporality, modality, evidentiality, eventualities, grammar and conceptualization, grammaticalization, metaphor, cross-cultural pragmatics and speech acts and the semantics-pragmatics boundary. There are contributions by, amongst many others, Les Bruce, Ilinca Crainiceanu, Thorstein Fretheim, Saeko Fukushima, Ronald Geluykens, Javier Gutierrez-Rexach, Klaus von Heusinger, K. M. Jaszczolt, Susumu Kubo, Akiko Kurosawa, Eva Lavric, Didier Maillat, Marta Maleczki, Steve Nicolle, Sergei Tatevosov, L. M. Tovena, Jacqueline Visconti and Krista Vogelberg.

Correspondence Principle And Growth Of Science

Author: W. Krajewski
Publisher: Springer Science & Business Media
ISBN: 9401011788
Size: 56.69 MB
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This book is devoted to the problems of the growth of science. These prob lems, neglected for a long time by the philosophers of science, have become in the 60's and 70's a subject of vivid discussion. There are philosophers who stress only the dependence of science upon various sociological, psycho logical and other factors and deny any internal laws of the development of knowledge, like approaching the truth. The majority rejects such nihilism and searches for the laws of the growth of science. However, they often overlook the role of the Correspondence Principle which connects the suc cessive scientific theories. On the other hand, some authors, while stressing the role of this principle, overlook logical difficulties connected with it, e. g. the problem of the incompatibility of successive theories, of the falsity of some of their assumptions, etc. I believe the Correspondence Principle to be a basic principle of the pro gress of contemporary physics and, probably, of every advanced science. How ever, this principle must be properly interpreted and the above-mentioned logical difficulties must be solved. Their solution requires, as it seems, revealing the idealizational nature of the basic laws of science, in any case of the quantitative laws of advanced sciences. This point has been recently emphasized by some Polish philosophers, especially in Poznan.

Possible Worlds

Author: John Divers
Publisher: Routledge
ISBN: 1134731604
Size: 57.55 MB
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Possible Worlds presents the first up-to-date and comprehensive examination of one of the most important topics in metaphysics. John Divers considers the prevalent philosophical positions, including realism, antirealism and the work of important writers on possible worlds such as David Lewis, evaluating them in detail.

Nineteen Papers On Algebraic Semigroups

Author: Ben Silver
Publisher: American Mathematical Soc.
ISBN: 9780821895757
Size: 43.41 MB
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This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.