Introduction to Mathematical Philosophy


Bertrand Russell - 1918
    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

A Treatise of Human Nature


David Hume - 1740
    It is also the focal point of current attempts to understand 18th-century philosophy. The Treatise first explains how we form such concepts as cause and effect, external existence, and personal identity, and to form compelling but unconfirmable beliefs in the entities represented by these concepts. It then offers a novel account of the passions, explains freedom and necessity as they apply to human choices and actions, and concludes with detailed explanations of how we distinguish between virtue and vice and of the different kinds of virtue. Hume's Abstract of the Treatise, also included in the volume, outlines his 'chief argument' regarding our conception of, and belief in, cause and effect. The texts printed in this volume are those of the critical edition of Hume's philosophical works now being published by the Clarendon Press. The volume includes a substantial introduction explaining the aims of the Treatise as a whole and of each of its ten parts, extensive annotations, a glossary of terms, a comprehensive index, and suggestions for further reading.

Professor Maxwell’s Duplicitous Demon: The Life and Science of James Clerk Maxwell


Brian Clegg - 2019
    But ask a physicist and there’s no doubt that James Clerk Maxwell will be near the top of the list.  Maxwell, an unassuming Victorian Scotsman, explained how we perceive colour. He uncovered the way gases behave. And, most significantly, he transformed the way physics was undertaken in his explanation of the interaction of electricity and magnetism, revealing the nature of light and laying the groundwork for everything from Einstein’s special relativity to modern electronics.   Along the way, he set up one of the most enduring challenges in physics, one that has taxed the best minds ever since. ‘Maxwell’s demon’ is a tiny but thoroughly disruptive thought experiment that suggests the second law of thermodynamics, the law that governs the flow of time itself, can be broken. This is the story of a groundbreaking scientist, a great contributor to our understanding of the way the world works, and his duplicitous demon.

Information and the Nature of Reality: From Physics to Metaphysics


Paul C.W. Davies - 2010
    In recent years, however, the concept of information has gained importance. Why? In this book, eminent scientists, philosophers and theologians chart various aspects of information, from quantum information to biological and digital information, in order to understand how nature works. Beginning with a historical treatment of the topic, the book also examines physical and biological approaches to information, and its philosophical, theological and ethical implications.

Theory and Reality: An Introduction to the Philosophy of Science


Peter Godfrey-Smith - 2003
    The result is a completely accessible introduction to the main themes of the philosophy of science. Intended for undergraduates and general readers with no prior background in philosophy, Theory and Reality covers logical positivism; the problems of induction and confirmation; Karl Popper's theory of science; Thomas Kuhn and "scientific revolutions"; the views of Imre Lakatos, Larry Laudan, and Paul Feyerabend; and challenges to the field from sociology of science, feminism, and science studies. The book then looks in more detail at some specific problems and theories, including scientific realism, the theory-ladeness of observation, scientific explanation, and Bayesianism. Finally, Godfrey-Smith defends a form of philosophical naturalism as the best way to solve the main problems in the field. Throughout the text he points out connections between philosophical debates and wider discussions about science in recent decades, such as the infamous "science wars." Examples and asides engage the beginning student; a glossary of terms explains key concepts; and suggestions for further reading are included at the end of each chapter. However, this is a textbook that doesn't feel like a textbook because it captures the historical drama of changes in how science has been conceived over the last one hundred years.Like no other text in this field, Theory and Reality combines a survey of recent history of the philosophy of science with current key debates in language that any beginning scholar or critical reader can follow.

Philosophical Dictionary


Voltaire - 1764
    The subjects treated include Abraham, Angel and Anthropophages; Baptism, Beauty and Beasts; Fables, Fraud and Fanaticism; Metempsychosis, Miracles and Moses; all of them exposed to Voltaire's lucid scrutiny, his elegant irony and his passionate love of reason and justice.

The Singular Universe and the Reality of Time: A Proposal in Natural Philosophy


Roberto Mangabeira Unger - 2014
    The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

The Unreasonable Effectiveness of Mathematics in the Natural Sciences


Eugene Paul Wigner - 1959
    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

The Ultimate Fate Of The Universe


Jamal Nazrul Islam - 1983
    To understand the universe in the far future, we must first describe its present state and structure on the grand scale, and how its present properties arose. Dr Islam explains these topics in an accessible way in the first part of the book. From this background he speculates about the future evolution of the universe and predicts the major changes that will occur. The author has largely avoided mathematical formalism and therefore the book is well suited to general readers with a modest background knowledge of physics and astronomy.

Turbulent Mirror: An Illustrated Guide to Chaos Theory and the Science of Wholeness


John P. Briggs - 1989
    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.

The Essays


Francis Bacon
    A scholar, wit, lawyer and statesman, he wrote widely on politics, philosophy and science - declaring early in his career that 'I have taken all knowledge as my province'. In this, his most famous work, he considers a diverse range of subjects, such as death and marriage, ambition and atheism, in prose that is vibrant and rich in Renaissance learning. Bacon believed that rhetoric - the force of eloquence and persuasion - could lead the mind to the pure light of reason, and his own rhetorical genius is nowhere better expressed than in these vivid essays.

Logical Positivism


A.J. Ayer - 1966
    The book gives more than it promises, the text as well as the extensive bibliography including contributions of the analysts."-Hibbert Journal

This Explains Everything: Deep, Beautiful, and Elegant Theories of How the World Works


John BrockmanSean Carroll - 2013
    Why do we recognize patterns? Is there such a thing as positive stress? Are we genetically programmed to be in conflict with each other? Those are just some of the 150 questions that the world's best scientific minds answer with elegant simplicity.With contributions from Jared Diamond, Richard Dawkins, Nassim Taleb, Brian Eno, Steven Pinker, and more, everything is explained in fun, uncomplicated terms that make the most complex concepts easy to comprehend.

Einstein's Miraculous Year


John J. Stachel - 1998
    In those twelve months, Einstein shattered many cherished scientific beliefs with five extraordinary papers that would establish him as the world's leading physicist. This book brings those papers together in an accessible format. The best-known papers are the two that founded special relativity: On the Electrodynamics of Moving Bodies and Does the Inertia of a Body Depend on Its Energy Content? In the former, Einstein showed that absolute time had to be replaced by a new absolute: the speed of light. In the second, he asserted the equivalence of mass and energy, which would lead to the famous formula E = mc2.The book also includes On a Heuristic Point of View Concerning the Production and Transformation of Light, in which Einstein challenged the wave theory of light, suggesting that light could also be regarded as a collection of particles. This helped to open the door to a whole new world--that of quantum physics. For ideas in this paper, he won the Nobel Prize in 1921.The fourth paper also led to a Nobel Prize, although for another scientist, Jean Perrin. On the Movement of Small Particles Suspended in Stationary Liquids Required by the Molecular-Kinetic Theory of Heat concerns the Brownian motion of such particles. With profound insight, Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of such particles as a function of the time, which Perrin confirmed experimentally. The fifth paper, A New Determination of Molecular Dimensions, was Einstein's doctoral dissertation, and remains among his most cited articles. It shows how to calculate Avogadro's number and the size of molecules.These papers, presented in a modern English translation, are essential reading for any physicist, mathematician, or astrophysicist. Far more than just a collection of scientific articles, this book presents work that is among the high points of human achievement and marks a watershed in the history of science. Coinciding with the 100th anniversary of the miraculous year, this new paperback edition includes an introduction by John Stachel, which focuses on the personal aspects of Einstein's youth that facilitated and led up to the miraculous year.

Understanding Philosophy of Science


James Ladyman - 2001
    Without scientific theory, these developments would not have been possible.In this exceptionally clear and engaging introduction to philosophy of science, James Ladyman explores the philosophical questions that arise when we reflect on the nature of the scientific method and the knowledge it produces. He discusses whether fundamental philosophical questions about knowledge and reality might be answered by science, and considers in detail the debate between realists and antirealists about the extent of scientific knowledge. Along the way, central topics in philosophy of science, such as the demarcation of science from non-science, induction, confirmation and falsification, the relationship between theory and observation and relativism are all addressed. Important and complex current debates over underdetermination, inference to the best explaination and the implications of radical theory change are clarified and clearly explained for those new to the subject.