Book picks similar to
Abstraction and Infinity by Paolo Mancosu


philosophy
long-term-future
mathematics
philosophy-of-mathematics-logic

The Five Great Philosophies of Life


William De Witt Hyde - 2012
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Refuting the External World


Göran Backlund - 2014
    It will effectively reveal and dispel any wrong-thinking surrounding this idea upon which all else stands. The purpose? To unburden you from all notions of ‘self’, allowing you to directly discover the raw, non-dual truth of Being.This isn't the first work that tackles this subject. But others have left it at “we can’t really know whether there’s anything beyond our experience”, while I go all the way and say that we can know – and in this book I’ll show you exactly how and why this idea of an objective, physical universe of time and space beyond our perceptions is nothing but a figment of our imagination.But it’s a book unlike all others on the contemporary non-dual awakening scene. You won’t find any ‘pointers’ in it. What you’ll find is stone cold logic hacking away at the very foundation of existence itself. And in its wake; when the dust finally settles; you’ll recognize that, not only were the words of the sages true all along, but they've gone from being a remote possibility to being the light and guiding principle of your life. What words?"Consciousness is all."

Ethics Without Ontology


Hilary Putnam - 2004
    Looking at the efforts of philosophers from the Enlightenment through the twentieth century, Putnam traces the ways in which ethical problems arise in a historical context. Hilary Putnam's central concern is ontology--indeed, the very idea of ontology as the division of philosophy concerned with what (ultimately) exists. Reviewing what he deems the disastrous consequences of ontology's influence on analytic philosophy--in particular, the contortions it imposes upon debates about the objective of ethical judgments--Putnam proposes abandoning the very idea of ontology. He argues persuasively that the attempt to provide an ontological explanation of the objectivity of either mathematics or ethics is, in fact, an attempt to provide justifications that are extraneous to mathematics and ethics--and is thus deeply misguided.

M.C. Escher: Visions of Symmetry


Doris Schattschneider - 1990
    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

The Infinite Gift: How Children Learn and Unlearn the Languages of the World


Charles Yang - 2006
    Most parents never forget the moment. But that first word is soon followed by a second and a third, and by the age of three, children are typically learning ten new words every day and speaking in complete sentences. The process seems effortless, and for children, it is. But how exactly does it happen? How do children learn language? And why is it so much harder to do later in life? Drawing on cutting-edge developments in biology, neurology, psychology, and linguistics, Charles Yang's "The Infinite Gift" takes us inside the astonishingly complex but largely subconscious process by which children learn to talk and to understand the spoken word.Yang illuminates the rich mysteries of language: why French newborns already prefer the sound of French to English; why baby-talk, though often unintelligible, makes perfect linguistic sense; why babies born deaf still babble -- but with their hands; why the grammars of some languages may be evolutionarily stronger than others; and why one of the brain's earliest achievements may in fact be its most complex.Yang also puts forth an exciting new theory. Building on Noam Chomsky's notion of a universal grammar -- the idea that every human being is born with an intuitive grasp of grammar -- Yang argues that we learn our native languages in part by unlearning the grammars of all the rest.This means that the next time you hear a child make a grammatical mistake, it may not be a mistake at all; his or her grammar may be perfectly correct in Chinese or Navajo or ancient Greek. This is the brain's way of testing its options as it searches for the local and thus correct grammar -- and then discards all the wrong ones.And we humans, Yang shows, are not the only creatures who learn this way. In fact, learning by unlearning may be an ancient evolutionary mechanism that runs throughout the animal kingdom. Thus, babies learn to talk in much the same way that birds learn to sing.Enlivened by Yang's experiences with his own young son, "The Infinite Gift" is as charming as it is challenging, as thoughtful as it is thought-provoking. An absorbing read for parents, educators, and anyone who has ever wondered about the origins of that uniquely human gift: our ability to speak and, just as miraculous, to understand one another.

Philosophy of Man: Selected Readings


Manuel B. Dy Jr. - 1986
    Half of the readings are written by our own philosophy teachers of the country, and the rest are chosen on the basis of their reliability, essentiality, and depth. Needless to say, this book is the fruit of eighteen years of experience in teaching this course."

Peter Thiel’s CS183


Peter Thiel - 2014
    https://www.scribd.com/document/35944...

Everything and More: A Compact History of Infinity


David Foster Wallace - 2003
    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

How to Enjoy Poetry (Little Ways to Live a Big Life)


Frank Skinner - 2020
    I referred them to Doctor Who's Tardis.'Frank Skinner wants you to read more poetry. Wait, wait - don't stop reading. Whether you're a frequent poetry reader or haven't read any since sixth form, Frank's infectious passion for language, rhythm and metre will win you over and provide you with the basic tools you need to tackle any poem.In this short, easy-to-digest and delightful book, Frank guides us through the twists and turns of 'Pad, pad' by Stevie Smith, a short, seemingly simple poem that contains multitudes of meaning and a deceptive depth of emotion. Revel in the mastery of Stevie Smith's choice of words, consider the eternal mystery of the speaker of the poem and be moved by rhyming couplets like you never have before.Give it a go. You never know, you might even enjoy it.

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.

Introducing philosophy


Open University - 2016
    This 8-hour free course introduced the study of philosophy and the methods employed by The Open University in teaching philosophy.

Do Epic Shit


Ankur Warikoo - 2021
    Ankur Warikoo is an entrepreneur and content creator whose witty and brutally honest thoughts on success and failure, money and investing, self-awareness and personal relationships have made him one of India’s top personal brands.In his first book, Ankur puts together the key ideas that have fuelled his journey.This is a book to be read, and reread, a book you will give your family and friends and strangers.

Zero: The Biography of a Dangerous Idea


Charles Seife - 2000
    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

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.

Figures of Dissent: Critical Essays on Fish, Spivak, Zizek, and Others


Terry Eagleton - 2003
    His skill as a reviewer is particularly notable: never content merely to assess the ideas of a writer and the theses of a book, Eagleton, in his inimitable and often wickedly funny style, always paints a vivid theoretical and political fresco as the background to his engagement with the texts.In this collection of more than a decade of such bracing criticism, Eagleton comes face to face with Stanley Fish, Gayatri Spivak, Slavoj Žižek, Edward Said, and even David Beckham. All are subjected to his pugnacious wit, scathing critical pen, and brilliant literary investigations.