Book picks similar to
Recursively Enumberable Sets and Degrees by Robert I. Soare
math
9205
mathematics
logic
Logicomix: An Epic Search for Truth
Apostolos Doxiadis - 2009
This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity. This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale. Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.
The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us
Noson S. Yanofsky - 2013
This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Fornication: The "Red Hot Chili Peppers" Story
Jeff Apter - 2004
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Lectures on the Foundations of Mathematics, Cambridge 1939
Ludwig Wittgenstein - 1989
A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.
Quantum Computing Since Democritus
Scott Aaronson - 2013
Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.
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.
This Book Will Save You Time
Misir Mahmudov - 2020
Everything else can be made, bought or created. Our life is made up of around 600,000 hours and every second is of infinite value. We live in an attention economy where corporations are fighting for our time with the goal of monetizing our every second. The money we use loses value and devalues our time through inflation. When we work, we are exchanging our limited time for money whose quantity increases every year. It hasn’t always been this way. People used gold as money for a reason; it was also a limited resource. Now, what does the future hold?Valuing your time is the first step to improving your life. Knowing that your time is the only limited resource makes you more selective about the things you do, the people you spend your time with and the assets you choose to store your wealth in. Once you learn to appreciate your time, you will get busy doing the things you love and start making better financial choices.
Shackled: A Journey From Political Imprisonment To Freedom
Adam Siddiq - 2017
Following a grand betrayal, Khaled's father and uncles, the respected right-hand men to the King of Afghanistan, become targets of the new regime. Khaled's father is exiled, his uncles are executed, and their families are locked away in a forgotten corner of Kabul. So begins a decades-long struggle in captivity where Khaled faces the hardship of prison life while enduring tragedies as more of his loved ones are executed and succumb to diseases. Despite the tribulations he experiences, Khaled never gives up hope, choosing to make the most of his time by studying five different languages, advanced literature, and philosophy. Eventually, Khaled and his family are released from prison, but are they truly free? Forbidden from leaving the country, one thing continues to haunt Khaled: a longing to reunite with his father. SHACKLED is a raw, heart-opening story about resilience. It follows the Charkhi family from the 1932 coup to the 1979 Soviet invasion. Amidst national and personal upheaval, Khaled finds his freedom by choosing to lead a life of optimism, kindness, joy, and love. Adam Siddiq is the grandson of Khaled Siddiq. Adam wrote SHACKLED alongside his grandfather, Khaled—a shared journey they hope will inspire others to become more involved in the sacred bond between the youth and their elders.
Irreligion: A Mathematician Explains Why the Arguments for God Just Don't Add Up
John Allen Paulos - 2007
In Irreligion he presents the case for his own worldview, organizing his book into twelve chapters that refute the twelve arguments most often put forward for believing in God's existence. The latter arguments, Paulos relates in his characteristically lighthearted style, "range from what might be called golden oldies to those with a more contemporary beat. On the playlist are the firstcause argument, the argument from design, the ontological argument, arguments from faith and biblical codes, the argument from the anthropic principle, the moral universality argument, and others." Interspersed among his twelve counterarguments are remarks on a variety of irreligious themes, ranging from the nature of miracles and creationist probability to cognitive illusions and prudential wagers. Special attention is paid to topics, arguments, and questions that spring from his incredulity "not only about religion but also about others' credulity." Despite the strong influence of his day job, Paulos says, there isn't a single mathematical formula in the book.
Ethics in Information Technology
George W. Reynolds - 2002
This book offers an excellent foundation in ethical decision-making for current and future business managers and IT professionals.
Pear Shaped: The Funniest Book So Far This Year About Brain Cancer
Adam Blain - 2015
It made him laugh." Cindy McCain "This book is funny, moving and inspirational. I read some of it and had to get him on my radio show." Christian O'Connell, Absolute Radio Breakfast Show DJ "So honest, uninhibited, down-to-earth and readable despite the difficult subject. The best non-fiction book I have read in a very long time.....and I strongly recommend it." Peter J "Hilarious and moving in equal measures. What a brave man!" David Reuben "Adam Blain manages to be funny, poignant and inspiring describing with heart breaking honesty his journey so far, beginning with a diagnosis no one ever wants to face." RG A must-read memoir about coping with cancer Description Adam is a middle aged father of three. Completely out of the blue, and for no reason other than sheer dumb chance, he was diagnosed with a rare and aggressive brain tumour. Adam has endured radiotherapy and chemotherapy which were preceded by major brain surgery to remove the tumour - helpfully described by his surgeon as being the size and shape of a pear. Using the blackest of humour, this book charts Adam's journey from normality to having a disease regularly described as a “death sentence”. How will he cope with the treatment? How will his relationship with family and friends be affected? Most important of all, how will his hair come through this? Quite simply, it is the funniest book so far this year about brain cancer. Warning - this book is intended for mature audiences due to the subject matter and use of strong language.
Gabriel García Márquez's One Hundred Years of Solitude: A Casebook
Gene H. Bell-Villada - 2002
Each casebook reprints documents relating to a work's historical context and reception, presents the best critical studies, and, when possible, features an interview with the author. Accessible and informative to scholars, students, and nonspecialist readers alike, the books in this series provide a wide range of critical and informative commentaries on major texts. Gabriel Garcia Marquez's One Hundred Years of Solitude is arguably the most important novel in twentieth-century Latin American literature. This Casebook features ten critical articles on Garcia Marquez's great work. Carefully selected from the most important work on the novel over the past three decades, they include pieces by Carlos Fuentes, Iris Zavala, James Higgins, Jean Franco, Michael Wood, and Gene H. Bell-Villada. Among the intriguing aspects of the work discussed are its mythic dimension, its "magical" side, its representations of women, its relationship with past chronicles of exploration and discovery, its portrayals of Western power and imperialism, its astounding diffusion throughout the globe and the media, and its simple truth-telling, its fidelity to the tangled history of Latin America. The book incorporates several theoretical approaches--historical, feminist, postcolonial; the first English translation of Fuentes's renowned, oft-cited, eight page meditation on the work; a general introduction; and a 1982 interview with Garcia Marquez.
Newton's Gift: How Sir Isaac Newton Unlocked the System of the World
David Berlinski - 2000
Despite this, he has remained inaccessible to most modern readers, indisputably great but undeniably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge through the astonishing year in which, working alone, he laid the foundation for his system of the world, his Principia Mathematica, and to the subsequent monumental feuds that poisoned his soul and wearied his supporters. An edifying appreciation of Newton's greatest accomplishment, Newton's Gift is also a touching celebration of a transcendent man.
Freed To Lead: F3 and the Unshackling of the Modern-day Warrior
David Redding - 2014
The workouts are simple – no gimmicks, trends, or fancy gear – and participants take turns leading. No one pays a dollar, yet every man involved will tell you that F3 keeps him in the best shape of his adult life. In Freed To Lead, F3 co-founders Dredd and OBT tell the story of how F3 began on New Year’s Day 2011 at a Charlotte, N.C., middle school and how its dramatic growth showed they had launched something more than just a workout group. Through anecdote and metaphor, they show how F3’s Three Fs – Fitness, Fellowship, and Faith – cure the “SadClown Syndrome” that plagues too many men and offer a solution to our society’s leadership vacuum.