Book picks similar to
Philosophical Devices: Proofs, Probabilities, Possibilities, and Sets by David Papineau
philosophy
logic
mathematics
non-fiction
A Treatise Concerning the Principles of Human Knowledge
George Berkeley - 1710
"A Treatise Concerning the Principles of Human Knowledge" is one of Berkeley's best known works and in it Berkeley expounds upon this idea of subjective idealism, which in other words is the idea that all of reality, as far as humans are concerned, is simply a construct of the way our brains perceive and according to Berkeley no other sense of reality matters beyond that which we perceive.
Analytic Philosophy: A Very Short Introduction
Michael Beaney - 2017
E. Moore, and Ludwig Wittgenstein in the four decades around the turn of the twentieth century, analytic philosophy established itself in various forms in the 1930s. After the Second World War, it developed further in North America, in the rest of Europe, and is now growing in influence as the dominant philosophical tradition right across the world, from Latin America to East Asia.In this Very Short Introduction Michael Beaney introduces some of the key ideas of the founders of analytic philosophy by exploring certain fundamental philosophical questions and showing how those ideas can be used in offering answers. Considering the work of Susan Stebbing, he also explores the application of analytic philosophy to critical thinking, and emphasizes the conceptual creativity that lies at the heart of fruitful analysis. Throughout, Beaney illustrates why clarity of thinking, precision of expression, and rigour of argumentation are rightly seen as virtues of analytic philosophy.
The Postmodern Condition: A Report on Knowledge
Jean-François Lyotard - 1979
Many definitions of postmodernism focus on its nature as the aftermath of the modern industrial age when technology developed. This book extends that analysis to postmodernism by looking at the status of science, technology, and the arts, the significance of technocracy, and the way the flow of information is controlled in the Western world.
Discrete Mathematics and Its Applications
Kenneth H. Rosen - 2000
These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.
Logic: An Introduction to Elementary Logic
Wilfrid Hodges - 1980
From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy
Theological-Political Treatise
Baruch Spinoza - 1670
True religion consists in practice of simple piety, independent of philosophical speculation.
The Conscious Mind: In Search of a Fundamental Theory
David J. Chalmers - 1996
Dennett, Gerald Edelman, and Roger Penrose, all firing volleys in what has come to be called the consciousness wars. Now, in The Conscious Mind, philosopher David J. Chalmers offers a cogent analysis of this heated debate as he unveils a major new theory of consciousness, one that rejects the prevailing reductionist trend of science, while offering provocative insights into the relationship between mind and brain.Writing in a rigorous, thought-provoking style, the author takes us on a far-reaching tour through the philosophical ramifications of consciousness. Chalmers convincingly reveals how contemporary cognitive science and neurobiology have failed to explain how and why mental events emerge from physiological occurrences in the brain. He proposes instead that conscious experience must be understood in an entirely new light--as an irreducible entity (similar to such physical properties as time, mass, and space) that exists at a fundamental level and cannot be understood as the sum of its parts. And after suggesting some intriguing possibilities about the structure and laws of conscious experience, he details how his unique reinterpretation of the mind could be the focus of a new science. Throughout the book, Chalmers provides fascinating thought experiments that trenchantly illustrate his ideas. For example, in exploring the notion that consciousness could be experienced by machines as well as humans, Chalmers asks us to imagine a thinking brain in which neurons are slowly replaced by silicon chips that precisely duplicate their functions--as the neurons are replaced, will consciousness gradually fade away? The book also features thoughtful discussions of how the author's theories might be practically applied to subjects as diverse as artificial intelligence and the interpretation of quantum mechanics.All of us have pondered the nature and meaning of consciousness. Engaging and penetrating, The Conscious Mind adds a fresh new perspective to the subject that is sure to spark debate about our understanding of the mind for years to come.
Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math
Alex Bellos - 2010
But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.
Philosophy of Science: A Very Short Introduction
Samir Okasha - 2002
He also looks at philosophical issues in particular sciences, including the problem of classification in biology, and the nature of space and time in physics. The final chapter touches on the conflicts between science and religion, and explores whether science is ultimately a good thing.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.
How to Do Things with Words
J.L. Austin - 1955
Austin was one of the leading philosophers of the twentieth century. The William James Lectures presented Austin's conclusions in the field to which he directed his main efforts on a wide variety of philosophical problems. These talks became the classic How to Do Things with Words.For this second edition, the editors have returned to Austin's original lecture notes, amending the printed text where it seemed necessary. Students will find the new text clearer, and, at the same time, more faithful to the actual lectures. An appendix contains literal transcriptions of a number of marginal notes made by Austin but not included in the text. Comparison of the text with these annotations provides new dimensions to the study of Austin's work.
Computability and Logic
George S. Boolos - 1980
Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems.
Sources of the Self: The Making of the Modern Identity
Charles Taylor - 1989
The modern turn to subjectivity, with its attendant rejection of an objective order of reason, has led—it seems to many—to mere subjectivism at the mildest and to sheer nihilism at the worst. Many critics believe that the modern order has no moral backbone and has proved corrosive to all that might foster human good. Taylor rejects this view. He argues that, properly understood, our modern notion of the self provides a framework that more than compensates for the abandonment of substantive notions of rationality.The major insight of Sources of the Self is that modern subjectivity, in all its epistemological, aesthetic, and political ramifications, has its roots in ideas of human good. After first arguing that contemporary philosophers have ignored how self and good connect, the author defines the modern identity by describing its genesis. His effort to uncover and map our moral sources leads to novel interpretations of most of the figures and movements in the modern tradition. Taylor shows that the modern turn inward is not disastrous but is in fact the result of our long efforts to define and reach the good. At the heart of this definition he finds what he calls the affirmation of ordinary life, a value which has decisively if not completely replaced an older conception of reason as connected to a hierarchy based on birth and wealth. In telling the story of a revolution whose proponents have been Augustine, Montaigne, Luther, and a host of others, Taylor's goal is in part to make sure we do not lose sight of their goal and endanger all that has been achieved. Sources of the Self provides a decisive defense of the modern order and a sharp rebuff to its critics.
Of Grammatology
Jacques Derrida - 1967
The ideas in De la grammatologie sparked lively debates in intellectual circles that included students of literature, philosophy, and the humanities, inspiring these students to ask questions of their disciplines that had previously been considered improper. Thirty years later, the immense influence of Derrida's work is still igniting controversy, thanks in part to Gayatri Spivak's translation, which captures the richness and complexity of the original. This corrected edition adds a new index of the critics and philosophers cited in the text and makes one of contemporary criticism's most indispensable works even more accessible and usable.
A History of Philosophy, Vol. 1: Greece and Rome, From the Pre-Socratics to Plotinus
Frederick Charles Copleston - 1946
J. Ayer in a fabled debate about the existence of God and the possibility of metaphysics, knew that seminary students were fed a woefully inadequate diet of theses and proofs, and that their familiarity with most of history's great thinkers was reduced to simplistic caricatures. Copleston set out to redress the wrong by writing a complete history of Western philosophy, one crackling with incident and intellectual excitement -- and one that gives full place to each thinker, presenting his thought in a beautifully rounded manner and showing his links to those who went before and to those who came after him. The result of Copleston's prodigious labors is a history of philosophy that is unlikely ever to be surpassed. Thought magazine summed up the general agreement among scholars and students alike when it reviewed Copleston's A History of Philosophy as "broad-minded and objective, comprehensive and scholarly, unified and well proportioned... We cannot recommend [it] too highly."
The Principles of Morals and Legislation
Jeremy Bentham - 1789
Proceeding from the assumption that human beings desire pleasure (and avoid pain), Bentham's unique perspective, known as utilitarianism, is used to construct a fascinating calculus for determining which action to perform when confronted with situations requiring moral decision-makingthe goal of which is to arrive at the "greatest happiness of the greatest number." Toward this end, he endeavors to delineate the sources and kinds of pleasure and pain and how they can be measured when assessing one's moral options. Bentham supports his arguments with discussions of intentionality, consciousness, motives, and dispositions.Bentham concludes this groundbreaking work with an analysis of punishment: its purpose and the proper role that law and jurisprudence should play in its determination and implementation. Here we find Bentham as social reformer seeking to resolve the tension that inevitably exists when the concerns of the many conflict with individual freedom.The Principles of Morals and Legislation offers readers the rare opportunity to experience one of the great works of moral philosophy, a volume that has influenced the course of ethical theory for over a century.