Book picks similar to
Thinking about Mathematics: The Philosophy of Mathematics by Stewart Shapiro
philosophy
mathematics
math
non-fiction
Data Science from Scratch: First Principles with Python
Joel Grus - 2015
In this book, you’ll learn how many of the most fundamental data science tools and algorithms work by implementing them from scratch.
If you have an aptitude for mathematics and some programming skills, author Joel Grus will help you get comfortable with the math and statistics at the core of data science, and with hacking skills you need to get started as a data scientist. Today’s messy glut of data holds answers to questions no one’s even thought to ask. This book provides you with the know-how to dig those answers out.
Get a crash course in Python
Learn the basics of linear algebra, statistics, and probability—and understand how and when they're used in data science
Collect, explore, clean, munge, and manipulate data
Dive into the fundamentals of machine learning
Implement models such as k-nearest Neighbors, Naive Bayes, linear and logistic regression, decision trees, neural networks, and clustering
Explore recommender systems, natural language processing, network analysis, MapReduce, and databases
Heidegger and a Hippo Walk Through Those Pearly Gates: Using Philosophy (and Jokes!) to Explore Life, Death, the Afterlife, and Everything in Between
Thomas Cathcart - 2009
That is, Death. The authors pry open the coffin lid on this one, looking at the Big D and also its prequel, Life, and its sequel, the Hereafter. Philosophers such as Schopenhauer, Nietzsche, Camus, and Sartre have been wrestling with the meaning of death for as long as they have been wrestling with the meaning of life. Fortunately, humorists have been keeping pace with the major thinkers by creating gags about dying. Death's funny that way--it gets everybody's attention. Death has gotten a bad rap. It's time to take a closer look at what the Deep Thinkers have to say on the subject, and there are no better guides than Cathcart and Klein.
Philosophy of Mind
Jaegwon Kim - 1996
But it has never held a more important place than it does today, with both traditional problems and new topics often sparked by the developments in the psychological, cognitive, and computer sciences. Jaegwon Kim's Philosophy of Mind is the classic, comprehensive survey of the subject. Now in its second edition, Kim explores, maps, and interprets this complex and exciting terrain. Designed as an introduction to the field for upper-level undergraduates and graduate students, Philosophy of Mind focuses on the mind/body problem and related issues, some touching on the status of psychology and cognitive science. The second edition features a new chapter on Cartesian substance dualism-a perspective that has been little discussed in the mainstream philosophy of mind and almost entirely ignored in most introductory books in philosophy of mind. In addition, all the chapters have been revised and updated to reflect the trends and developments of the last decade. Throughout the text, Kim allows readers to come to their own terms with the central problems of the mind. At the same time, the author's own emerging views are on display and serve to move the discussion forward. Comprehensive, clear, and fair, Philosophy of Mind is a model of philosophical exposition. It is a major contribution to the study and teaching of the philosophy of mind.
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.
Essays on the Theory of Numbers
Richard Dedekind - 1901
W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.
Positive Intelligence: Why Only 20% of Teams and Individuals Achieve Their True Potential and How You Can Achieve Yours
Shirzad Chamine - 2012
His groundbreaking research exposes ten well-disguised mental Saboteurs. Nearly 95 percent of the executives in his Stanford lectures conclude that these Saboteurs cause “significant harm” to achieving their true potential. With Positive Intelligence, you can learn the secret to defeating these internal foes. Positive Intelligence (PQ)SM measures the percentage of time your mind is serving you as opposed to sabotaging you. While your IQ and EQ (emotional intelligence) contribute to your maximum potential, it is your PQ that determines how much of that potential you actually achieve.The great news is that you can improve your PQ significantly in as little as 21 days. With higher PQ, teams and professionals ranging from leaders to salespeople perform 30 to 35 percent better on average. Importantly, they also report being far happier and less stressed. The breakthrough tools and techniques in this book have been refined over years of coaching hundreds of CEOs and their executive teams. Shirzad tells many of their remarkable stories, showing how you too can take concrete steps to unleash the vast, untapped powers of your mind.Discover how to• Identify and conquer your top Saboteurs. Common Saboteurs include the Judge, Controller, Victim, Avoider, and Pleaser. • Measure the Positive Intelligence score (PQ) for yourself or your team—and see how close you come to the critical tipping point required for peak performance.• Increase PQ dramatically in as little as 21 days.• Develop new brain “muscles,” and access 5 untapped powers with energizing mental “power games.”• Apply PQ tools and techniques to increase both performance and fulfillment. Applications include team building, mastering workload, working with “difficult” people, improving work/life balance, reducing stress, and selling and persuading.
What the Robin Knows: How Birds Reveal the Secrets of the Natural World
Jon Young - 2012
Unwitting humans create a zone of disturbance that scatters the wildlife. Respectful humans who heed the birds acquire an awareness that radically changes the dynamic. We are welcome in their habitat. The birds don't fly away. The larger animals don't race off. No longer hapless intruders, we now find, see, and engage the deer, the fox, the red-shouldered hawk—even the elusive, whispering wren.Deep bird language is an ancient discipline, perfected by Native peoples the world over. Finally, science is catching up. This groundbreaking book unites the indigenous knowledge, the latest research, and the author's own experience of four decades in the field to lead us toward a deeper connection to the animals and, in the end, a deeper connection to ourselves.
The Gardener and the Carpenter: What the New Science of Child Development Tells Us About the Relationship Between Parents and Children
Alison Gopnik - 2016
Yet the thing we call "parenting" is a surprisingly new invention. In the past thirty years, the concept of parenting and the multibillion dollar industry surrounding it have transformed child care into obsessive, controlling, and goal-oriented labor intended to create a particular kind of child and therefore a particular kind of adult. In The Gardener and the Carpenter, the pioneering developmental psychologist and philosopher Alison Gopnik argues that the familiar twenty-first-century picture of parents and children is profoundly wrong--it's not just based on bad science, it's bad for kids and parents, too.Drawing on the study of human evolution and her own cutting-edge scientific research into how children learn, Gopnik shows that although caring for children is profoundly important, it is not a matter of shaping them to turn out a particular way. Children are designed to be messy and unpredictable, playful and imaginative, and to be very different both from their parents and from each other. The variability and flexibility of childhood lets them innovate, create, and survive in an unpredictable world. “Parenting" won't make children learn—but caring parents let children learn by creating a secure, loving environment.
On Formally Undecidable Propositions of Principia Mathematica and Related Systems
Kurt Gödel - 1992
Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.
The Drunkard's Walk: How Randomness Rules Our Lives
Leonard Mlodinow - 2008
From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.
Thinking In Numbers: On Life, Love, Meaning, and Math
Daniel Tammet - 2012
In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.
Thinking Mathematically
John Mason - 1982
It demonstrates how to encourage, develop, and foster the processes which seem to come naturally to mathematicians.
Thinking in Systems: A Primer
Donella H. Meadows - 2008
Edited by the Sustainability Institute’s Diana Wright, this essential primer brings systems thinking out of the realm of computers and equations and into the tangible world, showing readers how to develop the systems-thinking skills that thought leaders across the globe consider critical for 21st-century life.Some of the biggest problems facing the world—war, hunger, poverty, and environmental degradation—are essentially system failures. They cannot be solved by fixing one piece in isolation from the others, because even seemingly minor details have enormous power to undermine the best efforts of too-narrow thinking.While readers will learn the conceptual tools and methods of systems thinking, the heart of the book is grander than methodology. Donella Meadows was known as much for nurturing positive outcomes as she was for delving into the science behind global dilemmas. She reminds readers to pay attention to what is important, not just what is quantifiable, to stay humble, and to stay a learner.In a world growing ever more complicated, crowded, and interdependent, Thinking in Systems helps readers avoid confusion and helplessness, the first step toward finding proactive and effective solutions.
The Simpsons and Their Mathematical Secrets
Simon Singh - 2013
That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.
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.