Book picks similar to
An Introduction to Gödel's Theorems by Peter Smith
mathematics
philosophy
logic
math
Introduction to Probability
Dimitri P. Bertsekas - 2002
This is the currently used textbook for "Probabilistic Systems Analysis," an introductory probability course at the Massachusetts Institute of Technology, attended by a large number of undergraduate and graduate students. The book covers the fundamentals of probability theory (probabilistic models, discrete and continuous random variables, multiple random variables, and limit theorems), which are typically part of a first course on the subject. It also contains, a number of more advanced topics, from which an instructor can choose to match the goals of a particular course. These topics include transforms, sums of random variables, least squares estimation, the bivariate normal distribution, and a fairly detailed introduction to Bernoulli, Poisson, and Markov processes. The book strikes a balance between simplicity in exposition and sophistication in analytical reasoning. Some of the more mathematically rigorous analysis has been just intuitively explained in the text, but is developed in detail (at the level of advanced calculus) in the numerous solved theoretical problems. The book has been widely adopted for classroom use in introductory probability courses within the USA and abroad.
Introducing Philosophy: A Text with Integrated Readings
Robert C. Solomon - 1989
Introducing Philosophy: A Text with Integrated Readings, Eighth Edition, insists both that philosophy is very much alive today and that it is deeply rooted in the past. Accordingly, it combines substantial original sources from significant works in the history of philosophy and current philosophy with detailed commentary and explanation that help to clarify the readings. The selections range from the oldest known fragments to cutting-edge essays in feminism, multiculturalism, and cognitive science. At the end of each chapter is a summary, a list of review questions, a glossary, and a bibliography with suggestions for further reading. Important philosophical terms are carefully introduced in the text and also summarized at the end of each chapter, and brief biographies of the philosophers are provided at the end of the book. New to the Eighth Edition * Addressing the needs of a new generation of students, Robert C. Solomon has included for the first time more than 300 study and review questions. Appearing throughout the text and at the end of each chapter, these questions require immediate feedback from students. They encourage students to articulate the central ideas of what they have just read, instead of just "passing through" on the way to the next reading. * New selections expand and update the chapters on religion, knowledge, mind and body, freedom, ethics, justice, and beauty. The selections include work by Charles Hartshorne, Paul Davies, Cory Juhl, Friedrich Nietzsche, Jean-Paul Sartre, Sextus Empiricus, Edmund L. Gettier, David Braddon-Mitchell and Frank Jackson, John R. Searle, Colin McGinn, Daniel Dennett, Harry Frankfurt, Gilbert Harman, Emma Goldman, and Arthur C. Danto. * A companion website at www.oup.com/us/solomon8e features 300 study and review questions (100 multiple-choice, 100 true-or-false, and 100 fill-in-the-blank), discussion questions, chapter overviews and summaries, topical links, suggestions for further reading, and PowerPoint lecture aids.
Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets
David Papineau - 2012
Notions like denumerability, modal scope distinction, Bayesian conditionalization, and logical completeness are usually only elucidated deep within difficultspecialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists.The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outliningthe difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Godel's theorem.Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read withpleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.
The Master Switch: The Rise and Fall of Information Empires
Tim Wu - 2010
With all our media now traveling a single network, an unprecedented potential is building for centralized control over what Americans see and hear. Could history repeat itself with the next industrial consolidation? Could the Internet—the entire flow of American information—come to be ruled by one corporate leviathan in possession of “the master switch”? That is the big question of Tim Wu’s pathbreaking book.As Wu’s sweeping history shows, each of the new media of the twentieth century—radio, telephone, television, and film—was born free and open. Each invited unrestricted use and enterprising experiment until some would-be mogul battled his way to total domination. Here are stories of an uncommon will to power, the power over information: Adolph Zukor, who took a technology once used as commonly as YouTube is today and made it the exclusive prerogative of a kingdom called Hollywood . . . NBC’s founder, David Sarnoff, who, to save his broadcast empire from disruptive visionaries, bullied one inventor (of electronic television) into alcoholic despair and another (this one of FM radio, and his boyhood friend) into suicide . . . And foremost, Theodore Vail, founder of the Bell System, the greatest information empire of all time, and a capitalist whose faith in Soviet-style central planning set the course of every information industry thereafter.Explaining how invention begets industry and industry begets empire—a progress often blessed by government, typically with stifling consequences for free expression and technical innovation alike—Wu identifies a time-honored pattern in the maneuvers of today’s great information powers: Apple, Google, and an eerily resurgent AT&T. A battle royal looms for the Internet’s future, and with almost every aspect of our lives now dependent on that network, this is one war we dare not tune out.Part industrial exposé, part meditation on what freedom requires in the information age, The Master Switch is a stirring illumination of a drama that has played out over decades in the shadows of our national life and now culminates with terrifying implications for our future.
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics [with MasteringPhysics]
Randall D. Knight - 2003
0321513339 / 9780321513335 Physics for Scientists and Engineers: A Strategic Approach with Modern Physics and MasteringPhysics� Package consists of 0321513576 / 9780321513571 Student Workbook for Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 0321516397 / 9780321516398 MasteringPhysics� with E-book Student Access Kit for Physics for Scientists and Engineers: A Strategic Approach 0805327363 / 9780805327366 Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity
Peter Collier - 2012
This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.