Join us on a literary world trip!
Add this book to bookshelf
Grey
Write a new comment Default profile 50px
Grey
Subscribe to read the full book or read the first pages for free!
All characters reduced
Gödel's Proof - cover

Gödel's Proof

James R Newman, Ernest Nagel, Douglas R. Hofstadter

Publisher: NYU Press

  • 0
  • 0
  • 0

Summary

An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logicIn 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences—perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times." However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject. New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
Available since: 10/01/2001.
Print length: 144 pages.

Other books that might interest you

  • Your Type 2 Diabetes Action Plan - Tips Techniques and Practical Advice for Living Well with Diabetes - cover

    Your Type 2 Diabetes Action Plan...

    American Diabetes Association

    • 0
    • 0
    • 0
    Nearly two million people are diagnosed with type 2 diabetes in the United States every year. Many more are diagnosed with prediabetes. For the millions of people already living with diabetes, preventing or treating the many complications of diabetes is a constant concern. Often, what each of these individuals needs to control his or her blood glucose, treat complications, or prevent diabetes entirely is a change — a change in nutrition, a change in physical activity, a change in medication, a change in lifestyle. To help facilitate these changes, these individuals require clear recommendations based on established research that can help them quickly make the adjustments they need to improve their condition and create lifelong healthy habits. What they need is an action plan.Designed specifically for those are ready to take action, Your Type 2 Diabetes Action Plan is a concise, step-based approach to quickly improving blood glucose management and quality of life. Diabetes self-care advice can often be overwhelming and, coupled with the shock of diagnosis, it's easy to be paralyzed by the enormity of new information. To prevent this, the Diabetes Action Plan breaks down complicated concepts and long-term goals into manageable steps that are measured in days and weeks.
    Show book
  • The Infinity Puzzle - Quantum Field Theory and the Hunt for an Orderly Universe - cover

    The Infinity Puzzle - Quantum...

    Frank Close

    • 0
    • 0
    • 0
    The second half of the twentieth century witnessed a scientific gold rush as physicists raced to chart the inner workings of the atom. The stakes were high: the questions were big, and there were Nobel Prizes and everlasting glory to be won. Many mysteries of the atom came unraveled, but one remained intractable—what Frank Close calls the "Infinity Puzzle." 
    The problem was simple to describe. Although clearly very powerful, quantum field theory—the great achievement of the 1930s—was making one utterly ridiculous prediction: that certain events had an infinite probability of occurring. 
    The solution is known as renormalization, which enables theory to match what we see in the real world. It has been a powerful approach, conquering three of the four fundamental forces of nature, and giving rise to the concept of the Higgs boson, the now much-sought particle that may be what gives structure to the universe. The Infinity Puzzle charts the birth and life of the idea, and the scientists, both household names and unsung heroes, who realized it. 
    Based on numerous firsthand interviews and extensive research, The Infinity Puzzle captures an era of great mystery and greater discovery. Even if the Higgs boson is never found, renormalization—the pursuit of an orderly universe—has led to one of the richest and most productive intellectual periods in human history. With a physicist's expertise and a historian's care, Close describes the personalities and the competition, the dead ends and the sudden insights, in a story that will reverberate through the ages.
    Show book
  • Stalin and the Scientists - A History of Triumph and Tragedy 1905–1953 - cover

    Stalin and the Scientists - A...

    Simon Ings

    • 0
    • 0
    • 0
    “One of the finest, most gripping surveys of the history of Russian science in the twentieth century.” —Douglas Smith, author of Former People: The Final Days of the Russian Aristocracy  Stalin and the Scientists tells the story of the many gifted scientists who worked in Russia from the years leading up to the revolution through the death of the “Great Scientist” himself, Joseph Stalin. It weaves together the stories of scientists, politicians, and ideologues into an intimate and sometimes horrifying portrait of a state determined to remake the world. They often wreaked great harm. Stalin was himself an amateur botanist, and by falling under the sway of dangerous charlatans like Trofim Lysenko (who denied the existence of genes), and by relying on antiquated ideas of biology, he not only destroyed the lives of hundreds of brilliant scientists, he caused the death of millions through famine.   But from atomic physics to management theory, and from radiation biology to neuroscience and psychology, these Soviet experts also made breakthroughs that forever changed agriculture, education, and medicine. A masterful book that deepens our understanding of Russian history, Stalin and the Scientists is a great achievement of research and storytelling, and a gripping look at what happens when science falls prey to politics.  Longlisted for the Baillie Gifford Prize for Non-Fiction in 2016  A New York Times Book Review “Paperback Row” selection   “Ings’s research is impressive and his exposition of the science is lucid . . . Filled with priceless nuggets and a cast of frauds, crackpots and tyrants, this is a lively and interesting book, and utterly relevant today.” —The New York Times Book Review   “A must read for understanding how the ideas of scientific knowledge and technology were distorted and subverted for decades across the Soviet Union.” —The Washington Post
    Show book
  • Spinning Out - Climate Change Mental Health and Fighting for a Better Future - cover

    Spinning Out - Climate Change...

    Charlie Hertzog Young

    • 0
    • 0
    • 0
    'Utterly brilliant - engaging, thrilling, disturbing, revelatory, explosive' GEORGE MONBIOT'This extraordinary book, written with startling honesty and vulnerability, traces Charlie's remarkable journey from deep despair to resistance, reconnection and remedy. If you are ready to channel grief within into action in the world, read on.' KATE RAWORTH, author of Doughnut Economics: Seven Ways to Think Like a 21st-Century Economist'Spinning Out is a salve, weaving together the intricacies of madness underscored by the backdrop of a changing climate. It's an essential and insightful resource in the fight for climate justice.' TORI TSUI, author of It's Not Just You'Heart-rendingly, heart-stoppingly glorious' MANDA SCOTT, author of bestselling Boudica seriesHumanity is driving the earth mad. Now, the earth is driving us mad in return. Charlie Hertzog Young became a climate activist in his early teens. His journey led him onto airport runways and into the halls of power, but also to a serious mental health breakdown. He had to rebuild himself physically and psychologically, before focusing his efforts on collective mental recovery in response to a planet in crisis.Spinning Out explores how climate chaos and the failure of those in power to tackle it are causing an inevitable mental health crisis across the globe. The relationship between the climate and our emotional wellbeing goes far deeper than eco-anxiety. It goes to he roots of our civilisation - its principles, its practices and its false solutions.With testimony from dozens of activists, organisers and researchers across every habitable continent, Spinning Out is a celebration (of other ways to be) and a manual for anyone who wants to fight for a better world, while avoiding burnout and despair.Wedding the needs of the earth with the needs of the human mind, Spinning Out offers a powerful, collective vision for change.
    Show book
  • Solidity Smart Contracts: Build DApps In The Ethereum Blockchain - cover

    Solidity Smart Contracts: Build...

    Rangel Stoilov

    • 0
    • 0
    • 0
    For the past couple of years, there hasn't been a bigger breakthrough in the IT world than the one that the Blockchain technology has made. The extremely fast growth of the industry, market and the technology itself leads to an enormous shortage of programmers that truly understand the blockchain. Along with the blockchain, smart contracts have emerged and with them - Solidity. 
    The idea of this book is to give you the easiest and best practices in becoming a blockchain developer. We will be focusing on the smart contracts development with Solidity in the Ethereum ecosystem. 
    You will learn to create your first smart contracts in the Ethereum blockchain even if you are a complete beginner and you know nothing about programming or Solidity. 
    I will show you the online IDE Remix to create your first smart contracts and we will go through all the features that Solidity provides us as a programming language. 
    In this book you will learn the following:We'll learn the essentials of the Ethereum blockchain. How to make and protect our wallets as well as mastering Metamask as our main Ethereum wallet in the creation of our smart contracts.We will go through the basic and advanced concepts of the Solidity language. We learn in depth how you can build your own smart contracts and test them out instantly in Remix.I will teach you how to use Metamask as your Ethereum wallet and I will give you security advice that will keep your crypto assets secure.You will have assignments that will help you out understand the material better with actual practice and not only passive consumption. After you finish this course you will fall in love with Solidity, Ethereum ecosystem and the smart contracts creation.
    Show book
  • The Importance of Being Educable - A New Theory of Human Uniqueness - cover

    The Importance of Being Educable...

    Leslie Valiant

    • 0
    • 0
    • 0
    If we hope to share our planet successfully with one another and the AI systems we are creating, we must reflect on who we are, how we got here, and where we are heading. The Importance of Being Educable puts forward a provocative new exploration of the extraordinary facility of humans to absorb and apply knowledge. The remarkable "educability" of the human brain can be understood as an information processing ability. It sets our species apart, enables the civilization we have, and gives us the power and potential to set our planet on a steady course. While we can readily absorb systems of thought about worlds of experience beyond our own, we struggle to judge correctly what information we should trust.In this visionary book, Leslie Valiant argues that understanding the nature of our own educability is crucial to safeguarding our future. After breaking down how we process information to learn and apply knowledge, and drawing comparisons with other animals and AI systems, he explains why education should be humankind's central preoccupation.Will the unique capability that has been so foundational to our achievements and civilization continue to drive our progress, or will we fall victim to our vulnerabilities? If we want to protect our collective future, we must better understand and prioritize the importance of being educable.
    Show book