Book picks similar to
Philosophy of Mathematics by A.D. Irvine
philosophy
mathematics
foundations-and-philosophy-of-maths
mmath
Imagining the Tenth Dimension: A New Way of Thinking about Time and Space
Rob Bryanton - 2006
Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.
The Golden Section: Nature’s Greatest Secret
Scott Olsen - 2006
The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.
Calculus for Dummies
Mark Ryan - 2003
Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.Calculus For Dummies is intended for three groups of readers:Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth. This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:Real-world examples of calculus The two big ideas of calculus: differentiation and integration Why calculus works Pre-algebra and algebra review Common functions and their graphs Limits and continuity Integration and approximating area Sequences and series Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression.
Life After Death, Powerful Evidence You Will Never Die
Stephen Hawley Martin - 2015
He spent two years gathering information that demonstrates this and along the way interviewed more than a hundred experts in a number of different fields. Among them were parapsychologists, medical doctors, psychologists, psychiatrists, quantum physicists, and researchers into the true nature of reality. Specific examples are presented that indicate what happens when we die, for example that memories can be formed and retained despite a subject’s brain having been shutdown and the blood drained from it. Questions such as whether or not you will be able to communicate with living loved ones after death are addressed, if it is possible to be reborn, and what might be missing from reproductive theory to explain the various phenomena indicated in the many case histories and scientific investigations presented. All of us will someday cross the border to what Shakespeare called "The undiscovered country." As long as we must make that trip, wouldn’t it be smart to find out where we are going and what to expect when we get there?
The Atheist's Guide to Reality: Enjoying Life without Illusions
Alex Rosenberg - 2011
Philosopher Alex Rosenberg maintains that science is the only thing that can really answer them—all of them. His bracing and ultimately upbeat book takes physics seriously as the complete description of reality and accepts all its consequences. He shows how physics makes Darwinian natural selection the only way life can emerge, and how that deprives nature of purpose, and human action of meaning, while it exposes conscious illusions such as free will and the self. The science that makes us nonbelievers provides the insight into the real difference between right and wrong, the nature of the mind, even the direction of human history. The Atheist's Guide to Reality draws powerful implications for the ethical and political issues that roil contemporary life. The result is nice nihilism, a surprisingly sanguine perspective atheists can happily embrace.
The Tao of the Dude: Awesome Insights of Deep Dudes from Lao Tzu to Lebowski
Oliver Benjamin - 2015
Throughout history, these lounge-chair revolutionaries have helped correct civilization’s ills and excesses with a mellow, lighthearted, live-and-let live attitude. From Lao Tzu to Lebowski, Epicurus to Einstein, The Buddha to Bob Dylan, all have reminded humanity what is most important in life: personal liberty, peace of mind, leisure time and good friends.Bringing together some of the greatest ideas, quotes and insights Dudeosophy has had to offer, THE TAO OF THE DUDE is not only a virtual Ph.D in Dudeism, but also a soothing sectional sofa for the soul.Each chapter contains an essay and illustration by the founder of Dudeism, followed by an assortment of quotes and passages that show how Dudeism has existed throughout history, down through the generations, across the sands of time...
Why Do Buses Come in Threes: The Hidden Mathematics of Everyday Life
Rob Eastaway - 1999
Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column?These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do.Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.
Elucidations of Hölderlin's Poetry (Contemporary Studies in Philosophy and the Human Sciences)
Martin Heidegger - 1936
The writings included here reveal much about Heidegger's innermost thoughts on poetry, language, and how we think.This is the first English translation of this important work.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
James D. Stein - 2008
In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
Jung: An Introduction Into the World of Carl Jung: The Shadow, The Archetypes and the Symbols (Psychology and the Mind)
Meredith Moonchild - 2016
They even became friends over the years, but they parted ways when it came to psychology. While Freud's approach was clinical and scientific in the Western sense, Jung started to draw his inspiration from Eastern philosophies and religions. Because of Carl Jung we have today a bridge between the mythological and mysterious world and the world of psychology. His research into dreams and sub-conscious parts of the minds offers riveting insights into human psychology that none before him have been able to. While Freudian psychology is still the branch most taught within universities, there is a large undercurrent of Jungian psychology seeping into our society. Especially the spiritualists and the New Age movement have embraced Jung as a teacher to better understand their own "Shadows" and dark aspects of the psyche. In this short read you will be given a concise and insightful introduction into the world and psychology of Carl Jung.
Twisted Scripture: Untangling 45 Lies Christians Have Been Told
Andrew Farley - 2019
Read this book to discover the clarity and beauty of the Gospel just as God intended. —Bart Millard, singer/songwriter for MercyMe Confront the lies that hold you back. Discover the truth that sets you free. Let's face it - the Bible contains passages that are challenging to interpret and can even incite fear. Sure, we want to believe that God's grace applies to our unique troubles: addiction, divorce, habitual sins, or a feeling of distance from God because we don't seem to measure up. Still, perplexing Bible passages eat at us. Bestselling author and national radio host Dr. Andrew Farley is known to challenge legalistic and lifeless interpretations with his discerning take on controversial Scriptures. In
Twisted Scripture
, Andrew skewers sacred cows and shatters destructive lies, bringing the undiluted truth about God's love and grace in a colorful and conversational look at the most controversial passages in the New Testament. This book offers more than just encouragement and freedom. It may change everything about the way you see yourself and God.
The Haskell Road to Logic, Maths and Programming
Kees Doets - 2004
Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.
Gödel's Theorem: An Incomplete Guide to Its Use and Abuse
Torkel Franzén - 2005
With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del
Alexander Hamilton: First Architect Of The American Government
Michael W. Simmons - 2016
Orphaned as a teenager, he came to America in search of an education, a home, and the war that would at last bring him fame and honor. As George Washington’s most trusted aide, Hamilton helped to win the American Revolution—but after the war, his enemies lost no time accusing him of trying to sell his country back to the British. He was the most powerful member of Washington’s presidential cabinet—so why did Adams and Jefferson hate him so much?In this book, you will learn how the author of the Federalist Papers and the first Secretary of the Treasury nearly ruined his career by fighting duels, seducing women, and getting involved in America’s first sex scandal. The duel that killed Alexander Hamilton is the most famous duel in American history, but you’ll have to come up with your own answer to its greatest mystery: who shot first, Hamilton or Burr?
Nobody Left to Hate
Elliot Aronson - 2000
It was the worst school massacre in our nation's history. Can we prevent a tragedy like this from happening again?In Elliot Aronson's Nobody Left to Hate, on of our nation's leading social psychologists argues that the negative atmosphere in our schools--the exclusion, taunting, humiliation, and bullying--played a major role in triggering the pathological behavior of the shooters. At the very least, such an atmosphere makes schools an unpleasant experience for most normal students.But it doesn't have to be. Nobody Left to Hate offers concise, practical, and easy-to-apply strategies for creating a more supportive, stimulating, and compassionate environment in our schools. Based on decades of scientific research and classroom testing, these strategies explain how students can be taught to control their own impulses, how to respect others, and how to resolve conflicts amicably. In addition, they show teachers how to structure classes to promote cooperation, rather than competition, without sacrificing academics. On the contrary, education is greatly enhanced.For parents, teachers, or anyone concerned with what is happening in our schools, Nobody Left to Hate provides a simple and effective plan of action that will make their children's school not only a safe place, but a more humane place of learning.