Book picks similar to
Philosophy of Mathematics: Structure and Ontology by Stewart Shapiro
philosophy
mathematics
philosophy-of-mathematics
math
Introduction to Logic
Harry J. Gensler - 2001
Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...
Cheiro's Book Of Numbers
Cheiro - 1935
Cheiro the world famous seer tells you all, in this book, about thr secret power numbers, these Numbers can make you predict your own future accurately. Learn, how by adopting a minor change in your name you can turn your bad luck into profitable gains. Numbers of Names - Dates - Health - Diseases - Herbs - Colours - Cities - Racing & Mystery.
Q.E.D.: Beauty in Mathematical Proof
Burkard Polster - 2004
presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.
All the Math You'll Ever Need: A Self-Teaching Guide
Stephen L. Slavin - 1989
In adollars-and-cents, bottom-line world, where numbers influenceeverything, none of us can afford to let our math skills atrophy.This step-by-step personal math trainer:Refreshes practical math skills for your personal andprofessional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculatemortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.
Classics of Indian Spirituality: Includes: The Bhagavad Gita, The Dhammapada, and The Upanishads
Eknath Easwaran - 1993
A beautiful boxed set of the three scriptures of ancient India most meaningful to an American reader: the Bhagavad Gita, the Dhammapada, and the Upanishads.
Philosophical Essays
Gottfried Wilhelm Leibniz - 1716
In addition, the wide range of Leibniz's work--letters, published papers, and fragments on a variety of philosophical, religious, mathematical, and scientific questions over a fifty-year period--heightens the challenge of preparing an edition of his writings in English translation from the French and Latin.
A Concise Introduction to Logic [with CD-ROM]
Patrick J. Hurley - 1972
Inside: Logic Resource CD-ROM
Phenomenology: The Basics
Dan Zahavi - 2008
This lively and lucid book provides an introduction to the essential phenomenological concepts that are crucial for understanding great thinkers such as Husserl, Heidegger, and Merleau-Ponty. Written by a leading expert in the field, Dan Zahavi examines and explains key questions such as:- What is a phenomenological analysis?- What are the methodological foundations of phenomenology?- What does phenomenology have to say about embodiment and intersubjectivity?- How is phenomenology distinguished from, and related to, other fields in philosophy?- How do ideas from classic phenomenology relate to ongoing debates in psychology and qualitative research?With a glossary of key terms and suggestions for further reading, the book considers key philosophical arguments around phenomenology, making this an ideal starting point for anyone seeking a concise and accessible introduction to the rich and complex study of phenomenology.
Philosophical Writings of Peirce
Charles Sanders Peirce - 1955
It should prove a real boon to the student of Peirce." — The Modern SchoolmanCharles S. Peirce was a thinker of great originality and power. Although unpublished in his lifetime, he was recognized as an equal by such men as William James and John Dewey and, since his death in 1914, has come to the forefront of American philosophy. This volume, prepared by the Johnsonian Professor of Philosophy at Columbia University, formerly chairman of Columbia's philosophy department, is a carefully balanced exposition of Peirce's complete philosophical system as set forth in his own writings.The 28 chapters, in which appropriate sections of Peirce's work are interwoven into a brilliant selection that reveals his essential ideas, cover epistemology, phenomenology, cosmology, and scientific method, with especially interesting material on logic as the theory of signs, pure chance vs, pure law in the universe, symbolic logic, common sense, pragmatism (of which he was the founder), and ethics.Justus Buchler is author of Charles Peirce's Empiricism (1939), Philosophy: An Introduction (with J. H. Randall, Jr., 1942), and more recently, a series of books which form an ongoing philosophic structure: Toward a General Theory of Human Judgement (1951), Nature and Judgment (1855), and The Concept of Method (1961). It has been said of these volumes, "A fresh and vital system of ideas has been introduced into the world of contemporary philosophy." (Journal of Philosophy)."It is a very signal advantage to have this collection of Peirce's most important work within the covers of a single substantial volume. We should all be very grateful to Mr. Buchler." — John Laird, Philosophy
String, Straightedge, and Shadow: The Story of Geometry
Julia E. Diggins - 1965
Julia Diggins masterfully recreates the atmosphere of ancient times, when men, using three simple tools, the string, the straightedge, and the shadow, discovered the basic principles and constructions of elementary geometry. Her book reveals how these discoveries related to the early civilizations of Mesopotamia, Egypt, and Greece.The fabric of the story is woven out of archeological and historical records and legends about the major men of mathematics. By reconstructing the events as they might have happened, Diggins enables the attentive reader to easily follow the pattern of reasoning that leads to an ingenious proof of the Pythagorean theorem, an appreciation of the significance of the Golden Mean in art and architecture, and the construction of the five regular solids.Out of print for 34 years, Julia Diggins' classic book is back and is a must-read for middle school students or for parents helping their children through their first geometry course. You will be fascinated with the graphic illustrations and written depiction of how the knowledge and wisdom of so many cultures helped shape our civilization today. This book is popular with teachers and parents who use Jamie York's Making Math Meaningful curriculum books.
The AI Delusion
Gary Smith - 2018
The Computer Revolution may be even more life-changing than the Industrial Revolution. We can do things with computers that could never be done before, and computers can do things for us that could never be done before.But our love of computers should not cloud our thinking about their limitations.We are told that computers are smarter than humans and that data mining can identify previously unknown truths, or make discoveries that will revolutionize our lives. Our lives may well be changed, but not necessarily for the better. Computers are very good at discovering patterns, but are uselessin judging whether the unearthed patterns are sensible because computers do not think the way humans think.We fear that super-intelligent machines will decide to protect themselves by enslaving or eliminating humans. But the real danger is not that computers are smarter than us, but that we think computers are smarter than us and, so, trust computers to make important decisions for us.The AI Delusion explains why we should not be intimidated into thinking that computers are infallible, that data-mining is knowledge discovery, and that black boxes should be trusted.
The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy
J.D. Williams - 1965
D. Williams wrote this entertaining, witty introduction for the nonscientist, game theory was still a somewhat mysterious subject familiar to very few scientists beyond those researchers, like himself, working for the military. Now, over thirty years after its original publication as a Rand Corporation research study, his light-hearted though thoroughly effective primer is the recognized classic introduction to an increasingly applicable discipline. Used by amateurs, professionals, and students throughout the world in the classroom, on the job, and for personal amusement, the book has been through ten printings, and has been translated into at least five languages (including Russian and Japanese).Revised, updated, and available for the first time in an inexpensive paperback edition, The Compleat Strategyst is a highly entertaining text essential for anyone interested in this provocative and engaging area of modern mathematics. In fully illustrated chapters complete with everyday examples and word problems, Williams offers readers a working understanding of the possible methods for selecting strategies in a variety of situations, simple to complex. With just a basic understanding of arithmetic, anyone can grasp all necessary aspects of two-, three-, four-, and larger strategy games with two or more sets of inimical interests and a limitless array of zero-sum payoffs.As research and study continues not only in this new discipline but in the related areas of statistics, probability and behavioral science, understanding of games, decision making, and the development of strategies will be increasingly important. In the areas of economics, sociology, politics, and the military, game theory is sure to have an even wider impact. For students and amateurs fascinated by game theory's implications there is no better, immediately applicable, or more entertaining introduction to the subject than this engaging text by the late J. D. Williams, Professor of Mathematics at Princeton University and a member of the Research Council of The Rand Corporation.
Sex and Death: An Introduction to Philosophy of Biology
Kim Sterelny - 1999
In this accessible introduction to philosophy of biology, Kim Sterelny and Paul E. Griffiths present both the science and the philosophical context necessary for a critical understanding of the most exciting debates shaping biology today. The authors, both of whom have published extensively in this field, describe the range of competing views—including their own—on these fascinating topics.With its clear explanations of both biological and philosophical concepts, Sex and Death will appeal not only to undergraduates, but also to the many general readers eager to think critically about the science of life.
Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World
Amir Alexander - 2014
With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.