Book picks similar to
Philosophical Perspectives on Infinity by Graham Oppy


philosophy
math
philosophy-of-mathematics
mathematics

Ayn Rand: The Playboy Interview


Ayn Rand - 1964
    It covered jazz, of course, but it also included Davis’s ruminations on race, politics and culture. Fascinated, Hef sent the writer—future Pulitzer-Prize-winning author Alex Haley, an unknown at the time—back to glean even more opinion and insight from Davis. The resulting exchange, published in the September 1962 issue, became the first official Playboy Interview and kicked off a remarkable run of public inquisition that continues today—and that has featured just about every cultural titan of the last half century.To celebrate the Interview’s 50th anniversary, the editors of Playboy have culled 50 of its most (in)famous Interviews and will publish them over the course of 50 weekdays (from September 4, 2012 to November 12, 2012) via Amazon’s Kindle Direct platform. Here is the interview with the novelist and philosopher Ayn Rand from the March 1964 issue.

Infinity and the Mind: The Science and Philosophy of the Infinite


Rudy Rucker - 1981
    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

Philosophy of Mathematics: Selected Readings


Paul Benacerraf - 1983
    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

Illogical Atheism: A Comprehensive Response to the Contemporary Freethinker from a Lapsed Agnostic


Bō Jinn - 2013
    Illogical Atheism comprises a comprehensive four-part analysis of the deep-seated philosophical tensions in the New Atheist agenda and serves as one of but a handful of important books seeking to alert the public consciousness toward the propagandist maneuvers of the the Freethinking community's most prominent figureheads. No stone is left unturned as Jinn takes all Four Famed Horsemen to task.

Why Does the World Exist?: An Existential Detective Story


Jim Holt - 2011
    Following in the footsteps of Christopher Hitchens, Roger Penrose, and even Stephen Hawking, Jim Holt now enters this fractious debate with his lively and deeply informed narrative that traces the latest efforts to grasp the origins of the universe. The slyly humorous Holt takes on the role of cosmological detective, suggesting that we might have been too narrow in limiting our suspects to Yahweh vs. the Big Bang. Tracking down an eccentric Oxford philosopher, a Physics Nobel Laureate, a French Buddhist monk who lived with the Dalai Lama, and John Updike just before he died, Holt pursues unexplored angles to this cosmic puzzle. As he pieces together a solution--one that sheds new light on the question of God and the meaning of existence--he offers brisk philosophical asides on time and eternity, consciousness, and the arithmetic of nothingness.“The pleasure of this book is watching the match: the staggeringly inventive human mind slamming its fantastic conjectures over the net, the universe coolly returning every serve.... Holt traffics in wonder, a word whose dual meanings—the absence of answers; the experience of awe—strike me as profoundly related. His book is not utilitarian. You can’t profit from it, at least not in the narrow sense.... And yet it does what real science writing should: It helps us feel the fullness of the problem.” (Kathryn Schulz, New York Magazine)" Jim Holt leaves us with the question Stephen Hawking once asked but couldn't answer, ‘Why does the universe go through all the bother of existing?’” (Ron Rosenbaum, Slate )

Mind and Cosmos: Why the Materialist Neo-Darwinian Conception of Nature Is Almost Certainly False


Thomas Nagel - 2012
    The mind-body problem cannot be confined to the relation between animal minds and animal bodies. If materialism cannot accommodate consciousness and other mind-related aspects of reality, then we must abandon a purely materialist understanding of nature in general, extending to biology, evolutionary theory, and cosmology. Since minds are features of biological systems that have developed through evolution, the standard materialist version of evolutionary biology is fundamentally incomplete. And the cosmological history that led to the origin of life and the coming into existence of the conditions for evolution cannot be a merely materialist history. An adequate conception of nature would have to explain the appearance in the universe of materially irreducible conscious minds, as such. No such explanation is available, and the physical sciences, including molecular biology, cannot be expected to provide one. The book explores these problems through a general treatment of the obstacles to reductionism, with more specific application to the phenomena of consciousness, cognition, and value. The conclusion is that physics cannot be the theory of everything.

The Ayn Rand Cult


Jeff Walker - 1998
    In this book, Jeff Walker debunks the cult-like following that developed around the author of the classics Atlas Shrugged and The Fountainhead--a cult that persists even today.

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity


Loren R. Graham - 2009
    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

The Function of Reason


Alfred North Whitehead - 1929
    This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Bill W.: A Biography of Alcoholics Anonymous Cofounder Bill Wilson


Francis Hartigan - 2000
    Bob Smith, founded Alcoholics Anonymous in 1935, his hope was that AA would become a safe haven for those who suffered from this disease. Thirty years after his death, AA continues to help millions of alcoholics recover from what had been commonly regarded as a hopeless addiction. Still, while Wilson was a visionary for millions, he was no saint. After cofounding Alcoholics Anonymous, he stayed sober for over thirty-five years, helping countless thousands rebuild their lives. But at the same time, Wilson suffered form debilitating bouts of clinical depression, was a womanizer, and experimented with LSD.Francis Hartigan, the former secretary and confidant to Wilson's wife, Lois, has exhaustively researched his subject, writing with a complete insider's knowledge. Drawing on extensive interviews with Lois Wilson and scores of early members of AA, he fully explores Wilson's organizational genius, his devotion to the cause, and almost martyr-like selflessness. That Wilson, like all of us, had to struggle with his own personal demons makes this biography all the more moving and inspirational. Hartigan reveals the story of Wilson's life to be as humorous, horrific, and powerful as any of the AA vignettes told daily around the world.

Believing Bullshit: How Not to Get Sucked into an Intellectual Black Hole


Stephen Law - 2011
    The author suggests that, like the black holes of outer space, from which nothing, not even light, can escape, our contemporary cultural landscape contains numerous intellectual black-holes—belief systems constructed in such a way that unwary passers-by can similarly find themselves drawn in. While such self-sealing bubbles of belief will most easily trap the gullible or poorly educated, even the most intelligent and educated of us are potentially vulnerable. Some of the world’s greatest thinkers have fallen in, never to escape. This witty, insightful critique will help immunize readers against the wiles of cultists, religious and political zealots, conspiracy theorists, promoters of flaky alternative medicines, and various other nutcases by clearly setting out the tricks of the trade by which such insidious belief systems are created and maintained.

Love Without End: Jesus Speaks


Glenda Green - 1999
    In 1992 He appeared to Glenda Green and spoke with her daily for almost four months. The expressed purpose of their visit was to paint His portrait, but nothing in the history of her career as an artist or university professor had prepared her for the life transformation that was about to take place. During this time, they spoke…as friends do, of many wonderful things—both miraculous and practical. Nothing would ever be the same. Her penetrating report of this experience is sincere, unbiased, and free of religious contrivance. In many ways her perceptions provide a bridge to the new millennium. Never before has language or a state of consciousness been present to examine the nature of such a miraculous occurrence as well as to develop the profound implications of it. Here is a brilliant glimpse of eternity, rich with practical applications to life. These messages are sparkling and direct with great contemporary relevance, Imparting in every way the impact of Divinity in communion with a thoughtful and well educated woman of our generation. Amazing answers are given to more than 300 penetrating questions.

Remarks on the Foundations of Mathematics


Ludwig Wittgenstein - 1956
    It was his feeling that a proper analysis of the use of language would clarify concepts and lead to the solution of (what seem to be) philosophical problems.Sometimes, Wittgenstein's expository method is pre-Socratic: a flow of disconnected statements, not unlike Heraclitean fragments, that range from clear aphorisms to cryptic oracles. Elsewhere, there are brief Socratic dialogues with imaginary persons, opponents of equally severe seriousness, representatives of the other half of Wittgenstein strove for total clarity of language as a means of solving philosophical problems, but some of his most meaningful statements here are expressed suggestively, subjectively, poetically.

An Introduction to Non-Classical Logic


Graham Priest - 2001
    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

Philosophy of Logic


Willard Van Orman Quine - 1970
    V. Quine presents logic as the product of two factors, truth and grammar--but argues against the doctrine that the logical truths are true because of grammar or language. Rather, in presenting a general theory of grammar and discussing the boundaries and possible extensions of logic, Quine argues that logic is not a mere matter of words.