Book picks similar to
Abstraction and Infinity by Paolo Mancosu


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

The Philosopher's Way: Thinking Critically about Profound Ideas


John Chaffee - 2004
    Paperback ISBN-9780205776993 Used only one semester. no writing or highlight. ship fast

The Emotion Machine: Commonsense Thinking, Artificial Intelligence, and the Future of the Human Mind


Marvin Minsky - 2006
    The human mind has many different ways to think, says Marvin Minsky, the leading figure in artificial intelligence and computer science. We use these different ways of thinking in different circumstances, and some of them we don't even associate with thinking. For example, emotions, intuitions, and feelings are just other forms of thinking, according to Minsky. In his groundbreaking new work, "The Emotion Machine," Minsky shows why we should expand our ideas about thinking and how thinking itself might change in the future."The Emotion Machine" explains how our minds work, how they progress from simple kinds of thought to more complex forms that enable us to reflect on ourselves -- what most people refer to as consciousness, or self-awareness. Unlike other broad theories of the mind, this book proceeds in a step-by-step fashion that draws on detailed and specific examples. It shows that thinking -- even higher-level thinking -- can be broken down into a series of specific actions. From emotional states to goals and attachments and on to consciousness and awareness of self, we can understand the process of thinking in all its intricacy. And once we understand thinking, we can build machines -- artificial intelligences -- that can assist with our thinking, machines that can follow the same thinking patterns that we follow and that can think as we do. These humanlike thinking machines would also be emotion machines -- just as we are.This is a brilliant book that challenges many ideas about thinking and the mind. It is as insightful and provocative as it is original, the fruit of a lifetime spentthinking about thinking.

Symmetry


Hermann Weyl - 1952
    Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations--as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

The Number Sense: How the Mind Creates Mathematics


Stanislas Dehaene - 1996
    Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

History of Astronomy


George Forbes - 1909
    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

Dialogue on Good, Evil, and the Existence of God


John R. Perry - 1999
    In the early part of the work, Gretchen and her friends consider whether evil provides a problem for those who believe in the perfection of God. As the discussion continues they consider the nature of human evil—whether, for example, fully rational actions can be intentionally evil. Recurring themes are the distinction between natural evil and evil done by free agents, and the problems the Holocaust and other cases of genocide pose for conceptions of the universe as a basically good place, or humans as basically good beings. Once again, Perry’s ability to get at the heart of matters combines with his exemplary skill at writing the dialogue form. An ideal volume for introducing students to the subtleties and intricacies of philosophical discussion.

Existentialism and Humanism: Jean-Paul Sartre


Gerald Jones - 2003
    It is suitable for both A Level and HE philosophy students. historical context; a section by section guide to Existentialism and Humanism including key quotes; tasks and activities to help you understand and evaluate Sartre's philosophy; and a critical analysis of the philosophical implications of Sartre's ideas. It also offers summaries of key points needed for exam questions about Sartre and existentialism plus an extensive glossary of key words and ideas focused coverage of AS and A2 Philosophy

Mathematics for Class XII(CBSE)


R.D. Sharma
    

Elliptic Tales: Curves, Counting, and Number Theory


Avner Ash - 2012
    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

Philosophical Papers, Volume 1: The Methodology of Scientific Research Programmes


Imre Lakatos - 1978
    Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume II presents his work on the philosophy of mathematics (much of it unpublished), together with some critical essays on contemporary philosophers of science and some famous polemical writings on political and educational issues. Imre Lakatos had an influence out of all proportion to the length of his philosophical career. This collection exhibits and confirms the originality, range and the essential unity of his work. It demonstrates too the force and spirit he brought to every issue with which he engaged, from his most abstract mathematical work to his passionate 'Letter to the director of the LSE'. Lakatos' ideas are now the focus of widespread and increasing interest, and these volumes should make possible for the first time their study as a whole and their proper assessment.

DYING TO LIVE: THE END OF FEAR: A Direct Approach To Freedom From Psychological And Emotional Suffering


David Parrish - 2019
    This is a presentation of the essential teaching of this direct path to freedom that focuses on the recognition and realization of the True Self. This book identifies the root cause of suffering as the identification with the mind and the belief that the psychological construct that is considered the "person" is actual. It is shown that this idea we have of who we are is an illusion that has been taken to be real and thus creates all forms of psychological suffering and confusion. The freedom from this illusion is shown to be available to anyone who is willing to recognize and realize the truth of who they are. This is a non-dual approach to psychological treatment that is becoming a new approach that has the potential to bring an end to all psychological disorders.

Bringing Up Children


Osho - 2012
    Osho responds to a question about the right way to help children to grow without interfering in their natural potentiality.

My Catholic Faith!


My Catholic Life! - 2015
    We want to know! We want to know the purpose of our life, why we are here on earth, where we came from, whether there is a God, who this God is, whether there is an afterlife, and so much more! These most basic and fundamental questions are hopefully in the forefront of our minds. And if they are not, it's never too late to start! This book offers some of the answers to these questions. It offers the answers found is our Creed. At first, the Creed can seem dry and unimpressive. It can even seem confusing and overly academic. But when properly understood, the Creed holds the answer to the questions we so deeply seek.

2002 Lesser Known Tales From The Mahabharata: Volume 1


Sharath Komarraju - 2017
    Now at your fingertips. The Mahabharata is the world's longest epic. It contains within it numerous fables, anecdotes and pieces of practical wisdom that make up what we today call Indian culture.Two thousand tales from this ocean of Vedic literature are now being retold for your reading pleasure. Crisp, comprehensive, contextual.In this volume you will find stories such as:- The three disciples of Dhaumya the sage- The strange adventures of Uttanka- The tortoise that fought with an elephant over years by a lake- How Sesha came to become the supporter of Mother Earth- Who the second Indra was and how he was 'defeated'And many more. Whether you're a casual reader of mythology or a die-hard fanatic, this is a must-read.

The Little Guide To Greater Glory And A Happier Life


Sri M. - 2013
    His uniqueness lies not only in the fact that at the young age of 19 and a half, he travelled to snow clad Himalayas from Kerala, and there he met and lived for several years with a ‘real-time’ yogi, Babaji, but also that he should undertake such an unusual and adventurous exploration, given his non-Hindu birth and antecedents.The metamorphosis of Mumtaz Ali Khan into Sri ‘M’, a yogi with profound knowledge of the Upanishads and deep personal insights, born of first hand experiences with higher levels of consciousness is indeed a fascinating story.The bonus for those interested in the secrets of yoga, meditation and sankhyan metaphysics is that Sri ‘M’ is still living and easily reachable. He leads a normal life, married with two children, wears no special robes and conducts himself without pomp or paraphernalia.Someone who met him recently said, “I expected a flashy godman and instead I saw a jean clad gentleman with a smile of his face, ready to discuss my problems. In five minutes flat, I said to myself, this is no ordinary man. The peace and tranquility that enters your system is tangible”.