Download or read book Infinity Causation and Paradox written by Alexander R. Pruss and published by Oxford University Press. This book was released on 2018-07-26 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity is paradoxical in many ways. Some paradoxes involve deterministic supertasks, such as Thomson's Lamp, where a switch is toggled an infinite number of times over a finite period of time, or the Grim Reaper, where it seems that infinitely many reapers can produce a result without doing anything. Others involve infinite lotteries. If you get two tickets from an infinite fair lottery where tickets are numbered from 1, no matter what number you saw on the first ticket, it is almost certain that the other ticket has a bigger number on it. And others center on paradoxical results in decision theory, such as the surprising observation that if you perform a sequence of fair coin flips that goes infinitely far back into the past but only finitely into the future, you can leverage information about past coin flips to predict future ones with only finitely many mistakes. Alexander R. Pruss examines this seemingly large family of paradoxes in Infinity, Causation and Paradox. He establishes that these paradoxes and numerous others all have a common structure: their most natural embodiment involves an infinite number of items causally impinging on a single output. These paradoxes, he argues, can all be resolved by embracing 'causal finitism', the view that it is impossible for a single output to have an infinite causal history. Throughout the book, Pruss exposits such paradoxes, defends causal finitism at length, and considers connections with the philosophy of physics (where causal finitism favors but does not require discretist theories of space and time) and the philosophy of religion (with a cosmological argument for a first cause).
Download or read book Metaphysics of Infinity written by Ion Soteropoulos and published by University Press of America. This book was released on 2013-11-26 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the time of the Greek philosopher Zeno (fifth century BCE), our faculty of analytic understanding has failed to comprehend motion through the ages. The reason is the paradox or contradiction associated with motion. One fundamental contradiction is the conflict between the finite body and the infinite divisibility of the unit distance ab. Indeed, how is it possible to move from a to b if we must first pass through an infinite series of sub-distances in one instant? How can we traverse an unlimited series—a series without limit—yet reach its limit? Because the heart of the problem is the conflict between the finite and the infinite, its solution depends on reconciling this contradiction and transforming this reconciliation into the founding principle of motion. Having accomplished these two things, this work investigates the sweeping consequences they have regarding the geometric form of the physical universe, the Aristotelian ontology of the physical body, the nature of our finite brain, the finite analytic paradigm of empirical science and the meaning of our technological acceleration. This book will appeal to a wide range of readers with interests in the logical mechanics of the physical universe, the hidden powers of our finite brain, and the utility of robots in the future. Although some of the presentation requires the understanding of elementary mathematical equations, the argument is conducted at the deepest level: that of principles. This approach enables readers to follow the book’s reasoning without technical training on the subject.
Download or read book One Body written by Alexander R. Pruss and published by University of Notre Dame Pess. This book was released on 2012-05-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important philosophical reflection on love and sexuality from a broadly Christian perspective is aimed at philosophers, theologians, and educated Christian readers. Alexander R. Pruss focuses on foundational questions on the nature of romantic love and on controversial questions in sexual ethics on the basis of the fundamental idea that romantic love pursues union of two persons as one body. One Body begins with an account, inspired by St. Thomas Aquinas, of the general nature of love as constituted by components of goodwill, appreciation, and unitiveness. Different forms of love, such as parental, collegial, filial, friendly, fraternal, or romantic, Pruss argues, differ primarily not in terms of goodwill or appreciation but in terms of the kind of union that is sought. Pruss examines romantic love as distinguished from other kinds of love by a focus on a particular kind of union, a deep union as one body achieved through the joint biological striving of the sort involved in reproduction. Taking the account of the union that romantic love seeks as a foundation, the book considers the nature of marriage and applies its account to controversial ethical questions, such as the connection between love, sex, and commitment and the moral issues involving contraception, same-sex activity, and reproductive technology. With philosophical rigor and sophistication, Pruss provides carefully argued answers to controversial questions in Christian sexual ethics.
Download or read book Necessary Existence written by Alexander R. Pruss and published by Oxford University Press. This book was released on 2018-02-09 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Necessary Existence breaks ground on one of the deepest questions anyone ever asks: why is there anything? The classic answer is in terms of a necessary foundation. Yet, why think that is the correct answer? Pruss and Rasmussen present an original defense of the hypothesis that there is a concrete necessary being capable of providing a foundation for the existence of things. They offer six main arguments, divided into six chapters. The first argument is an up-to-date presentation and assessment of a traditional causal-based argument from contingency. The next five arguments are new "possibility-based" arguments that make use of twentieth-century advances in modal logic. The arguments present possible pathways to an intriguing and far-reaching conclusion. The final chapter answers the most challenging objections to the existence of necessary things.
Download or read book Theism and Ultimate Explanation written by Timothy O'Connor and published by John Wiley & Sons. This book was released on 2012-02-20 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expansive, yet succinct, analysis of the Philosophy of Religion – from metaphysics through theology. Organized into two sections, the text first examines truths concerning what is possible and what is necessary. These chapters lay the foundation for the book’s second part – the search for a metaphysical framework that permits the possibility of an ultimate explanation that is correct and complete. A cutting-edge scholarly work which engages with the traditional metaphysician’s quest for a true ultimate explanation of the most general features of the world we inhabit Develops an original view concerning the epistemology and metaphysics of modality, or truths concerning what is possible or necessary Applies this framework to a re-examination of the cosmological argument for theism Defends a novel version of the Leibnizian cosmological argument
Download or read book Reasonable Faith written by William Lane Craig and published by Crossway. This book was released on 2008 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition by one of the world's leading apologists presents a systematic, positive case for Christianity that reflects the latest work in the contemporary hard sciences and humanities. Brilliant and accessible.
Download or read book Elements of Causal Inference written by Jonas Peters and published by MIT Press. This book was released on 2017-11-29 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise and self-contained introduction to causal inference, increasingly important in data science and machine learning. The mathematization of causality is a relatively recent development, and has become increasingly important in data science and machine learning. This book offers a self-contained and concise introduction to causal models and how to learn them from data. After explaining the need for causal models and discussing some of the principles underlying causal inference, the book teaches readers how to use causal models: how to compute intervention distributions, how to infer causal models from observational and interventional data, and how causal ideas could be exploited for classical machine learning problems. All of these topics are discussed first in terms of two variables and then in the more general multivariate case. The bivariate case turns out to be a particularly hard problem for causal learning because there are no conditional independences as used by classical methods for solving multivariate cases. The authors consider analyzing statistical asymmetries between cause and effect to be highly instructive, and they report on their decade of intensive research into this problem. The book is accessible to readers with a background in machine learning or statistics, and can be used in graduate courses or as a reference for researchers. The text includes code snippets that can be copied and pasted, exercises, and an appendix with a summary of the most important technical concepts.
Download or read book The Principle of Sufficient Reason written by Alexander R. Pruss and published by Cambridge University Press. This book was released on 2006-03-20 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Principle of Sufficient Reason (PSR) says that all contingent facts must have explanation. In this 2006 volume, which was the first on the topic in the English language in nearly half a century, Alexander Pruss examines the substantive philosophical issues raised by the Principle Reason. Discussing various forms of the PSR and selected historical episodes, from Parmenides, Leibnez, and Hume, Pruss defends the claim that every true contingent proposition must have an explanation against major objections, including Hume's imaginability argument and Peter van Inwagen's argument that the PSR entails modal fatalism. Pruss also provides a number of positive arguments for the PSR, based on considerations as different as the metaphysics of existence, counterfactuals and modality, negative explanations, and the everyday applicability of the PSR. Moreover, Pruss shows how the PSR would advance the discussion in a number of disparate fields, including meta-ethics and the philosophy of mathematics.
Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter
Download or read book Causation Prediction and Search written by Peter Spirtes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for anyone, regardless of discipline, who is interested in the use of statistical methods to help obtain scientific explanations or to predict the outcomes of actions, experiments or policies. Much of G. Udny Yule's work illustrates a vision of statistics whose goal is to investigate when and how causal influences may be reliably inferred, and their comparative strengths estimated, from statistical samples. Yule's enterprise has been largely replaced by Ronald Fisher's conception, in which there is a fundamental cleavage between experimental and non experimental inquiry, and statistics is largely unable to aid in causal inference without randomized experimental trials. Every now and then members of the statistical community express misgivings about this turn of events, and, in our view, rightly so. Our work represents a return to something like Yule's conception of the enterprise of theoretical statistics and its potential practical benefits. If intellectual history in the 20th century had gone otherwise, there might have been a discipline to which our work belongs. As it happens, there is not. We develop material that belongs to statistics, to computer science, and to philosophy; the combination may not be entirely satisfactory for specialists in any of these subjects. We hope it is nonetheless satisfactory for its purpose.
Download or read book Causality written by Judea Pearl and published by Cambridge University Press. This book was released on 2009-09-14 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Causality offers the first comprehensive coverage of causal analysis in many sciences, including recent advances using graphical methods. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artificial intelligence ...
Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. 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.
Download or read book The Beginning of Infinity written by David Deutsch and published by Penguin UK. This book was released on 2011-03-31 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Science has never had an advocate quite like David Deutsch ... A computational physicist on a par with his touchstones Alan Turing and Richard Feynman, and a philosopher in the line of his greatest hero, Karl Popper. His arguments are so clear that to read him is to experience the thrill of the highest level of discourse available on this planet and to understand it' Peter Forbes, Independent In our search for truth, how far have we advanced? This uniquely human quest for good explanations has driven amazing improvements in everything from scientific understanding and technology to politics, moral values and human welfare. But will progress end, either in catastrophe or completion - or will it continue infinitely? In this profound and seminal book, David Deutsch explores the furthest reaches of our current understanding, taking in the Infinity Hotel, supernovae and the nature of optimism, to instill in all of us a wonder at what we have achieved - and the fact that this is only the beginning of humanity's infinite possibility. 'This is Deutsch at his most ambitious, seeking to understand the implications of our scientific explanations of the world ... I enthusiastically recommend this rich, wide-ranging and elegantly written exposition of the unique insights of one of our most original intellectuals' Michael Berry, Times Higher Education Supplement 'Bold ... profound ... provocative and persuasive' Economist 'David Deutsch may well go down in history as one of the great scientists of our age' Scotsman
Download or read book Causal Inference in Statistics written by Judea Pearl and published by John Wiley & Sons. This book was released on 2016-01-25 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: CAUSAL INFERENCE IN STATISTICS A Primer Causality is central to the understanding and use of data. Without an understanding of cause–effect relationships, we cannot use data to answer questions as basic as "Does this treatment harm or help patients?" But though hundreds of introductory texts are available on statistical methods of data analysis, until now, no beginner-level book has been written about the exploding arsenal of methods that can tease causal information from data. Causal Inference in Statistics fills that gap. Using simple examples and plain language, the book lays out how to define causal parameters; the assumptions necessary to estimate causal parameters in a variety of situations; how to express those assumptions mathematically; whether those assumptions have testable implications; how to predict the effects of interventions; and how to reason counterfactually. These are the foundational tools that any student of statistics needs to acquire in order to use statistical methods to answer causal questions of interest. This book is accessible to anyone with an interest in interpreting data, from undergraduates, professors, researchers, or to the interested layperson. Examples are drawn from a wide variety of fields, including medicine, public policy, and law; a brief introduction to probability and statistics is provided for the uninitiated; and each chapter comes with study questions to reinforce the readers understanding.
Download or read book Finite and Infinite Games written by James Carse and published by Simon and Schuster. This book was released on 2011-10-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: “There are at least two kinds of games,” states James P. Carse as he begins this extraordinary book. “One could be called finite; the other infinite. A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play.” Finite games are the familiar contests of everyday life; they are played in order to be won, which is when they end. But infinite games are more mysterious. Their object is not winning, but ensuring the continuation of play. The rules may change, the boundaries may change, even the participants may change—as long as the game is never allowed to come to an end. What are infinite games? How do they affect the ways we play our finite games? What are we doing when we play—finitely or infinitely? And how can infinite games affect the ways in which we live our lives? Carse explores these questions with stunning elegance, teasing out of his distinctions a universe of observation and insight, noting where and why and how we play, finitely and infinitely. He surveys our world—from the finite games of the playing field and playing board to the infinite games found in culture and religion—leaving all we think we know illuminated and transformed. Along the way, Carse finds new ways of understanding everything, from how an actress portrays a role to how we engage in sex, from the nature of evil to the nature of science. Finite games, he shows, may offer wealth and status, power and glory, but infinite games offer something far more subtle and far grander. Carse has written a book rich in insight and aphorism. Already an international literary event, Finite and Infinite Games is certain to be argued about and celebrated for years to come. Reading it is the first step in learning to play the infinite game.
Download or read book Mind Brain and Free Will written by Richard Swinburne and published by Oxford University Press. This book was released on 2013-01-17 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richard Swinburne presents a powerful case for substance dualism and libertarian free will. He argues that pure mental and physical events are distinct, and defends an account of agent causation in which the soul can act independently of bodily causes. We are responsible for our actions, and the findings of neuroscience cannot prove otherwise.
Download or read book The Kalam Cosmological Argument Volume 1 written by Paul Copan and published by Bloomsbury Publishing USA. This book was released on 2017-11-16 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did the universe begin to exist? If so, did it have a cause? Or could it have come into existence uncaused, from nothing? These questions are taken up by the medieval-though recently-revived-kalam cosmological argument, which has arguably been the most discussed philosophical argument for God's existence in recent decades. The kalam's line of reasoning maintains that the series of past events cannot be infinite but rather is finite. Since the universe could not have come into being uncaused, there must be a transcendent cause of the universe's beginning, a conclusion supportive of theism. This anthology on the philosophical arguments for the finitude of the past asks: Is an infinite series of past events metaphysically possible? Should actual infinites be restricted to theoretical mathematics, or can an actual infinite exist in the concrete world? These essays by kalam proponents and detractors engage in lively debate about the nature of infinity and its conundrums; about frequently-used kalam argument paradoxes of Tristram Shandy, the Grim Reaper, and Hilbert's Hotel; and about the infinity of the future.
