Drawing on examples from many fields, it explains how scientists analyze and choose their working facts, and it explores the nature of experimentation, theory, and the mind. 1914 edition.

    First explicit statement of law of conservation of matter in chemical change; first modern list of chemical elements; more. Facsimile reprint of original (1790) Kerr translation. Introduction by Professor Douglas McKie.Introduction1 Of the formation & decomposition of aeriform fluids, of the combustion of simple bodies & the formation of acids 2 Of the combination of acids with salifiable bases & of the formation of neutral salts3 Description of the instruments & operations of chemistryAppendix

    This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    Routledge is an imprint of Taylor & Francis, an informa company.

    Remarkable for his range of thought and his mastery of treatment, Archimedes addressed such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the measurement of a circle; the properties of conoids, spheroids, and spirals; and the quadrature of the parabola. This edition offers an informative introduction with many valuable insights into the ancient mathematician's life and thought as well as the views of his contemporaries. Modern mathematicians, physicists, science historians, and logicians will find this volume a source of timeless fascination.

    The central concept of his philosophy is found in a careful discrimination between the awareness of objects independent of our perception and the awareness of essences attributed to objects by our mind, or between what Santayana calls the realm of existents and the realm of subsistents. Since we can never be certain that these attributes actually inhere in a substratum of existents, skepticism is established as a form of belief, but animal faith is shown to be a necessary quality of the human mind. Without this faith there could be no rational approach to the necessary problem of understanding and surviving in this world.Santayana derives this practical philosophy from a wide and fascinating variety of sources. He considers critically the positions of such philosophers as Descartes, Euclid, Hume, Kant, Parmenides, Plato, Pythagoras, Schopenhauer, and the Buddhist school as well as the assumptions made by the ordinary man in everyday situations. Such matters as the nature of belief, the rejection of classical idealism, the nature of intuition and memory, symbols and myth, mathematical reality, literary psychology, the discovery of essence, sublimation of animal faith, the implied being of truth, and many others are given detailed analyses in individual chapters.

    Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

    One of the most readable of all the great classics of physical science, this volume will impress readers with its surprisingly modern perspectives.In language that lay readers can easily follow, Sir Isaac Newton describes his famous experiments with spectroscopy and colors, lenses, and the reflection and diffraction of light. Book I contains his fundamental experiments with the spectrum, Book II deals with the ring phenomena, and Book III covers diffraction. The work concludes with "Queries" — speculations concerning light and gravitation. Opticks is introduced with a Foreword by Albert Einstein.

    Many of the translations were done by Strachey himself; the rest were prepared under his supervision. The result was to place the Standard Edition in a position of unquestioned supremacy over all other existing versions. Newly designed in a uniform format, each new paperback in the Standard Edition opens with a biographical essay on Freud's life and work —along with a note on the individual volume—by Peter Gay, Sterling Professor of History at Yale.

    A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.

    His public advocacy of the Copernican over the Aristotelian system of the universe flew directly in the face of biblical authority and ecclesiastical tradition. Condemned and placed under house arrest by the Inquisition, Galileo nonetheless devoted his last years to the completion of his Dialogues Concerning Two New Sciences, which deals with motion and the resistance of solids. The Two New Sciences, which Galileo called his most important work, may be regarded as the summary statement of a life devoted to scientific experimentation and free inquiry untrammeled by tradition and authority.

    This essay by Copernicus (1473-1543), revolutionized the way we look at the earth's placement in the universe, and paved the way for many great scientists, including Galileo and Isaac Newton, whose theories stemmed from this model. Featuring a biography of Copernicus and an accessible, enlightening introduction, both written by the renowned physicist Stephen Hawking, On the Revolution of Heavenly Spheres provides a fascinating look at the theories which shaped our modern understanding of astronomy and physics.

    Dewey believes that the method of empirical naturalism presented in this volume provides the way, and the only way by which one can freely accept the standpoint and conclusions of modern science. Contents: experience and philosophic method; existence as precarious and as stable; nature, ends and histories; nature, means and knowledge; nature, communication and as meaning; nature, mind, and the subject; nature, life and body-mind; existence, ideas and consciousness; experience, nature and art; existence value and criticism.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.