Recommendations based on "Is God a Mathematician?"

An accessible and fascinating exploration of how Alan Turing’s mathematical theory gave rise to modern computer science and applications—from the desktops to cell phonesIn 1936, when he was just 24 years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing’s Vision, Chris Bernhardt explains the theory for the general reader, beginning with its foundations and systematically building to its surprising conclusions. He also views Turing’s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing’s later work, and the birth of the modern computer.Turing wanted to show that there were problems that were beyond any computer’s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing’s ideas, Bernhardt examines 3 well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing’s problem concerning computable numbers.

This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

One of the most famous science books of our time, the phenomenal national bestseller that "buzzes with energy, anecdote and life. It almost makes you want to become a physicist" (Science Digest).Richard P. Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. In this lively work that “can shatter the stereotype of the stuffy scientist” (Detroit Free Press), Feynman recounts his experiences trading ideas on atomic physics with Einstein and cracking the uncrackable safes guarding the most deeply held nuclear secrets―and much more of an eyebrow-raising nature. In his stories, Feynman’s life shines through in all its eccentric glory―a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah.Included for this edition is a new introduction by Bill Gates.

Widely recognized as the finest definition of existentialist philosophy ever written, this book introduced existentialism to America in 1958. Barrett speaks eloquently and directly to concerns of the 1990s: a period when the irrational and the absurd are no better integrated than before and when humankind is in even greater danger of destroying its existence without ever understanding the meaning of its existence.Irrational Man begins by discussing the roots of existentialism in the art and thinking of Augustine, Aquinas, Pascal, Baudelaire, Blake, Dostoevski, Tolstoy, Hemingway, Picasso, Joyce, and Beckett. The heart of the book explains the views of the foremost existentialists—Kierkegaard, Nietzsche, Heidegger, and Sartre. The result is a marvelously lucid definition of existentialism and a brilliant interpretation of its impact.

Richard Feynman – Nobel Laureate, Teacher, Icon And Genius – Possessed An Unquenchable Thirst For Adventure And An Unparalleled Gift For Telling The Extraordinary Stories Of His Life. In This Collection Of Short Pieces And Reminiscences He Describes Everything From His Love Of Beauty To College Pranks To How His Father Taught Him To Think. He Takes Us Behind The Scenes Of The Space Shuttle Challenger Investigation, Where He Dramatically Revealed The Cause Of The Disaster With A Simple Experiment. And He Tells Us Of How He Met His Beloved First Wife Arlene, And Their Brief Time Together Before Her Death. Sometimes Intensely Moving, Sometimes Funny, These Writings Are Infused With Feynman’s Curiosity And Passion For Life.

Now in its fifth edition, this historically organized introductory text treats philosophy as a dramatic and continuous story--a conversation about humankind's deepest and most persistent concerns. Tracing the exchange of ideas between history's key philosophers, The Great Conversation: A Historical Introduction to Philosophy, Fifth Edition, demonstrates that while constructing an argument or making a claim, one philosopher almost always has others in mind. The book addresses the fundamental questions of human life: Who are we? What can we know? How should we live? and What sort of reality do we inhabit?The fifth edition retains the distinctive feature of previous editions: author Norman Melchert provides a generous selection of excerpts from major philosophical works and makes them more easily understandable to students with his lucid and engaging explanations. Ranging from the Pre-Socratics to Derrida and Quine, the selections are organized historically and include four complete works: Plato's Euthyphro, Apology, and Crito, and Descartes' Meditations on First Philosophy. The author's commentary offers a rich intellectual and cultural context for the philosophical ideas conveyed in the excerpts. Extensive cross-referencing shows students how philosophers respond appreciatively or critically to the thoughts of other philosophers. The text is enhanced by two types of exercises--"Basic Questions" and "For Further Thought"--and more than sixty illustrations.New to the Fifth Edition:* A new chapter (25) on Simone de Beauvoir and her contributions to philosophy* New material on Buddhist, Muslim, and Jewish thinkers, including profiles of the Buddha, Avicenna (Ibn Sina), Averroës (Ibn Rushd), and Maimonides (Moses ben Maimon)* A new profile of Jean-Jacques Rousseau* Improved translations of several of Plato's works, including Protagoras, Gorgias, Phaedo, Symposium,Meno, and the Republic* Review questions that are now dispersed throughout the chapters (instead of at chapter ends) to follow relevant passages and facilitate classroom discussion* Thirteen new images, including seven explanatory cartoons that help students understand key concepts* A revised Instructor's Manual and Test Bank--available both on CD and in a printed version--containing essential points, teaching suggestions, and multiple-choice, short-answer, and essay exam questionsThe Great Conversation, Fifth Edition, is also available in two paperback volumes to suit your course needs. Volume I: Pre-Socratics through Descartes includes chapters 1-13 of the combined volume, while Volume II: Descartes through Derrida and Quine includes chapters 12-26.

Boethius was an eminent public figure under the Gothic emperor Theodoric, and an exceptional Greek scholar. When he became involved in a conspiracy and was imprisoned in Pavia, it was to the Greek philosophers that he turned. The Consolation was written in the period leading up to his brutal execution. It is a dialogue of alternating prose and verse between the ailing prisoner and his 'nurse' Philosophy. Her instruction on the nature of fortune and happiness, good and evil, fate and free will, restore his health and bring him to enlightenment. The Consolation was extremely popular throughout medieval Europe and his ideas were influential on the thought of Chaucer and Dante.For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.

Bertrand Russell famously quipped that he didn’t believe in God for the same reason that he didn’t believe in a teapot in orbit between the earth and Mars: it is a bizarre assertion for which no evidence can be provided. Is belief in God really like belief in Russell’s teapot? Kenneth L. Pearce argues that God is no teapot. God is a real answer to the deepest question of all: why is there something rather than nothing? Graham Oppy argues that we should believe that there are none but natural causal entities with none but natural causal properties―and hence should believe that there are no gods. Beginning from this basic disagreement, the authors proceed to discuss and debate a wide range of philosophical questions, including questions about explanation, necessity, rationality, religious experience, mathematical objects, the foundations of ethics, and the methodology of philosophy. Each author first presents his own side, and then they interact through two rounds of objections and replies.Pedagogical features include standard form arguments, section summaries, bolded key terms and principles, a glossary, and annotated reading lists. In the volume foreword, Helen De Cruz calls the debate "both edifying and a joy," and sums up what’s at stake: "Here you have two carefully formulated positive proposals for worldviews that explain all that is: classical theism, or naturalistic atheism. You can follow along with the authors and deliberate: which one do you find more plausible?"Though written with beginning students in mind, this debate will be of interest to philosophers at all levels and to anyone who values careful, rational thought about the nature of reality and our place in it.

Classical Philosophy is the first of a series of books in which Peter Adamson aims ultimately to present a complete history of philosophy, more thoroughly but also more enjoyably than ever before. In short, lively chapters, based on the popular History of Philosophy podcast, he offers an accessible, humorous, and detailed look at the emergence of philosophy with the Presocratics, the probing questions of Socrates, and the first full flowering of philosophy with the dialogues of Plato and the treatises of Aristotle. The story is told 'without any gaps', discussing not only such major figures but also less commonly discussed topics like the Hippocratic Corpus, the Platonic Academy, and the role of women in ancient philosophy. Within the thought of Plato and Aristotle, the reader will find in-depth introductions to major works, such as the Republic and the Nicomachean Ethics, which are treated in detail that is unusual in an introduction to ancient philosophy. Adamson looks at fascinating but less frequently read Platonic dialogues like the Charmides and Cratylus, and Aristotle's ideas in zoology and poetics. This full coverage allows him to tackle ancient discussions in all areas of philosophy, including epistemology, metaphysics, philosophy of language, philosophy of science, ethics and politics. Attention is also given to the historical and literary context of classical philosophy, with exploration of how early Greek cosmology responded to the poets Homer and Hesiod, how Socrates was presented by the comic playwright Aristophanes and the historian Xenophon, and how events in Greek history may have influenced Plato's thought. This is a new kind of history which will bring philosophy to life for all readers, including those coming to the subject for the first time.

The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa. —Werner Heisenberg That God would choose to play dice with the world is something I cannot believe.—Albert Einstein Nothing exists until it is measured. —Neils Bohr The remarkable story of a startling scientific idea that ignited a battle among the greatest minds of the twentieth century and profoundly influenced intellectual inquiry in fields ranging from physics to literary criticism, anthropology and journalism In 1927, the young German physicist Werner Heisenberg challenged centuries of scientific understanding when he introduced what came to be known as “the uncertainty principle.” Building on his own radical innovations in quantum theory, Heisenberg proved that in many physical measurements, you can obtain one bit of information only at the price of losing another. Heisenberg’s principle implied that scientific quantities/concepts do not have absolute, independent meaning, but acquire meaning only in terms of the experiments used to measure them. This proposition, undermining the cherished belief that science could reveal the physical world with limitless detail and precision, placed Heisenberg in direct opposition to the revered Albert Einstein. The eminent scientist Niels Bohr, Heisenberg’s mentor and Einstein’s long-time friend, found himself caught between the two. Uncertaintychronicles the birth and evolution of one of the most significant findings in the history of science, and portrays the clash of ideas and personalities it provoked. Einstein was emotionally as well as intellectually determined to prove the uncertainty principle false. Heisenberg represented a new generation of physicists who believed that quantum theory overthrew the old certainties; confident of his reasoning, Heisenberg dismissed Einstein’s objections. Bohr understood that Heisenberg was correct, but he also recognized the vital necessity of gaining Einstein’s support as the world faced the shocking implications of Heisenberg’s principle.