True religion consists in practice of simple piety, independent of philosophical speculation.

    But he did not intend the metaphysics to stand apart from his scientific work, which included important investigations into physics, mathematics, and optics. In this book, Sorell shows that Descarates was, above all, an advocate and practitioner of the new mathematical approach to physics, and that he developed his philosophies to support his discoveries in the sciences.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    "A Treatise Concerning the Principles of Human Knowledge" is one of Berkeley's best known works and in it Berkeley expounds upon this idea of subjective idealism, which in other words is the idea that all of reality, as far as humans are concerned, is simply a construct of the way our brains perceive and according to Berkeley no other sense of reality matters beyond that which we perceive.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Offers readers an account of the liberal political tradition from a scholar viewed by many as the greatest contemporary exponent of the philosophy behind that tradition.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Taking account of the most recent scholarship, Manfred Kuehn allows the reader to follow the same journey that Kant himself took in emerging as a central figure in modern philosophy. Manfred Kuehn was formerly Professor of Philosophy at Purdue University. A specialist on German philosophy of the period, he is the author of numerous articles and papers on Immanuel Kant.

    Quality assurance was conducted on each of these books in an attempt to remove books with imperfections introduced by the digitization process. Though we have made best efforts - the books may have occasional errors that do not impede the reading experience. We believe this work is culturally important and have elected to bring the book back into print as part of our continuing commitment to the preservation of printed works worldwide.

    In contrast, Karl Popper's seminal book "The Logic of Scientific Discovery" has lapsed into relative obscurity. Although the two men debated the nature of science only once, the legacy of this encounter has dominated intellectual and public discussions on the topic ever since.Almost universally recognized as the modern watershed in the philosophy of science, Kuhn's relativistic vision of shifting paradigms--which asserted that science was just another human activity, like art or philosophy, only more specialized--triumphed over Popper's more positivistic belief in science's revolutionary potential to falsify society's dogmas. But has this victory been beneficial for science? Steve Fuller argues that not only has Kuhn's dominance had an adverse impact on the field but both thinkers have been radically misinterpreted in the process. This debate raises a vital question: Can science remain an independent, progressive force in society, or is it destined to continue as the technical wing of the military-industrial complex? Drawing on original research--including the Kuhn archives at MIT--Fuller offers a clear account of "Kuhn vs. Popper" and what it will mean for the future of scientific inquiry.

    A treatment of the religious and social dimensions of the human personality, and of man's two-fold encounter with reality in the realms of the I-It and the I-Thou.

    It 2 would seem that my protest against this conception has been oflittle avail; and the added explanations, which sharply pinpointed at least some chief points of difference, either have not been understood or have been heedlessly pushed aside. Thus the replies directed against my criticism of psychological method are also quite negative because they miss the straightforward sense of my presentation. My criticism of psychological method did not at all deny the value of modern psychology, did not at all disparage the experimental work done by eminent men. Rather it laid bare certain, in the literal sense, radical defects of method upon the removal of which, in my opinion, must depend an elevation of psychology to a higher scientific level and an extraordinary amplification ofits field of work. Later an occasion will be found to say a few words about the unnecessary defences of psychology against my supposed "attacks."

    Based on Solomon's own struggles to reconcile philosophy with religion, this book offers a model of a vibrant, fulfilling spirituality that embraces the complexities of human existence and acknowledges the joys and tragedies of life. Solomon has forged an enlightened new path that synthesizes spirituality with emotions, intellect, science, and common sense. His new paradigm, "naturalized" spirituality, establishes as its cornerstone the "thoughtful love of life" - a passionate concern for the here-and-now, and not the by-and-by. Being spiritual doesn't mean being holed up as a recluse, spending hours in meditation and contemplation, Solomon argues. It demands involvement and emotional engagement with others in the struggle to find meaning in our lives. As such, this modern-day spirituality encompasses a passionate enthusiasm for the world, the transformation of self, cosmic trust and rationality, coming to terms with fate, and viewing life as a gift, all of which are explored in depth throughout this book.Spirituality for the Skeptic answers the need for a non-institutional, non-dogmatic spirituality that leads to personal fulfillment and satisfaction. By examining the ideas of great thinkers from Socrates and Nietzsche to Buddha to Kafka, Solomon arrives at a practical vision of spirituality that should appeal to many seekers looking to make sense of the human condition.

    It aims to reach students who have already done an introductory philosophy course.Topics covered include perception and reflection as grounds of knowledge, and the nature, structure, and varieties of knowledge. The character and scope of knowledge in the crucial realms of ethics, science and religion are also considered.Unique features of Epistemology: * Provides a comprehensive survey of basic concepts and major theories* Gives an up-to-date account of important developments in the field* Contains many lucid examples to support ideas* Cites key literature in an annotated bibliography.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.