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Author :
Publisher :
ISBN 13 : 9780191725395
Total Pages : 150 pages
Book Rating : 4.7/5 (253 download)
Download or read book Defending the Axioms written by and published by . This book was released on 2011 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Penelope Maddy
Publisher : Oxford University Press
ISBN 13 : 0199596182
Total Pages : 161 pages
Book Rating : 4.1/5 (995 download)
Download or read book Defending the Axioms written by Penelope Maddy and published by Oxford University Press. This book was released on 2011-01-27 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics depends on proofs, and proofs must begin somewhere, from some fundamental assumptions. The axioms of set theory have long played this role, so the question of how they are properly judged is of central importance. Maddy discusses the appropriate methods for such evaluations and the philosophical backdrop that makes them appropriate.
Author : Penelope Maddy
Publisher : Oxford University Press
ISBN 13 : 0199273669
Total Pages : 461 pages
Book Rating : 4.1/5 (992 download)
Download or read book Second Philosophy written by Penelope Maddy and published by Oxford University Press. This book was released on 2007-04-19 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many philosophers these days consider themselves naturalists, but it's doubtful any two of them intend the same position by the term. In this book, Penelope Maddy describes and practises a particularly austere form of naturalism called 'Second Philosophy'. Without a definitive criterion for what counts as 'science' and what doesn't, Second Philosophy can't be specified directly - 'trust only the methods of science!' or some such thing - so Maddy proceeds instead by illustratingthe behaviours of an idealized inquirer she calls the 'Second Philosopher'. This Second Philosopher begins from perceptual common sense and progresses from there to systematic observation, active experimentation, theory formation and testing, working all the while to assess, correct and improve hermethods as she goes. Second Philosophy is then the result of the Second Philosopher's investigations.Maddy delineates the Second Philosopher's approach by tracing her reactions to various familiar skeptical and transcendental views (Descartes, Kant, Carnap, late Putnam, van Fraassen), comparing her methods to those of other self-described naturalists (especially Quine), and examining a prominent contemporary debate (between disquotationalists and correspondence theorists in the theory of truth) to extract a properly second-philosophical line of thought. She then undertakes to practise SecondPhilosophy in her reflections on the ground of logical truth, the methodology, ontology and epistemology of mathematics, and the general prospects for metaphysics naturalized.
Author : Penelope Maddy
Publisher : Clarendon Press
ISBN 13 : 0191518972
Total Pages : 265 pages
Book Rating : 4.1/5 (915 download)
Download or read book Naturalism in Mathematics written by Penelope Maddy and published by Clarendon Press. This book was released on 1997-11-13 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our much-valued mathematical knowledge rests on two supports: the logic of proof and the axioms from which those proofs begin. Naturalism in Mathematics investigates the status of the latter, the fundamental assumptions of mathematics. These were once held to be self-evident, but progress in work on the foundations of mathematics, especially in set theory, has rendered that comforting notion obsolete. Given that candidates for axiomatic status cannot be proved, what sorts of considerations can be offered for or against them? That is the central question addressed in this book. One answer is that mathematics aims to describe an objective world of mathematical objects, and that axiom candidates should be judged by their truth or falsity in that world. This promising view—realism—is assessed and finally rejected in favour of another—naturalism—which attends less to metaphysical considerations of objective truth and falsity, and more to practical considerations drawn from within mathematics itself. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be helpfully applied in the assessment of candidates for axiomatic status in set theory. Maddy's clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.
Author : Katarzyna de Lazari-Radek
Publisher : Oxford University Press, USA
ISBN 13 : 0199603693
Total Pages : 433 pages
Book Rating : 4.1/5 (996 download)
Download or read book The Point of View of the Universe written by Katarzyna de Lazari-Radek and published by Oxford University Press, USA. This book was released on 2014 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tests the views and metaphor of 19th-century utilitarian philosopher Henry Sidgwick against a variety of contemporary views on ethics, determining that they are defensible and thus providing a defense of objectivism in ethics and of hedonistic utilitarianism.
Author : Suzanne Nossel
Publisher : HarperCollins
ISBN 13 : 0062966065
Total Pages : 248 pages
Book Rating : 4.0/5 (629 download)
Download or read book Dare to Speak written by Suzanne Nossel and published by HarperCollins. This book was released on 2020-07-28 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A must read."—Margaret Atwood A vital, necessary playbook for navigating and defending free speech today by the CEO of PEN America, Dare To Speak provides a pathway for promoting free expression while also cultivating a more inclusive public culture. Online trolls and fascist chat groups. Controversies over campus lectures. Cancel culture versus censorship. The daily hazards and debates surrounding free speech dominate headlines and fuel social media storms. In an era where one tweet can launch—or end—your career, and where free speech is often invoked as a principle but rarely understood, learning to maneuver the fast-changing, treacherous landscape of public discourse has never been more urgent. In Dare To Speak, Suzanne Nossel, a leading voice in support of free expression, delivers a vital, necessary guide to maintaining democratic debate that is open, free-wheeling but at the same time respectful of the rich diversity of backgrounds and opinions in a changing country. Centered on practical principles, Nossel’s primer equips readers with the tools needed to speak one’s mind in today’s diverse, digitized, and highly-divided society without resorting to curbs on free expression. At a time when free speech is often pitted against other progressive axioms—namely diversity and equality—Dare To Speak presents a clear-eyed argument that the drive to create a more inclusive society need not, and must not, compromise robust protections for free speech. Nossel provides concrete guidance on how to reconcile these two sets of core values within universities, on social media, and in daily life. She advises readers how to: Use language conscientiously without self-censoring ideas; Defend the right to express unpopular views; And protest without silencing speech. Nossel warns against the increasingly fashionable embrace of expanded government and corporate controls over speech, warning that such strictures can reinforce the marginalization of lesser-heard voices. She argues that creating an open market of ideas demands aggressive steps to remedy exclusion and ensure equal participation. Replete with insightful arguments, colorful examples, and salient advice, Dare To Speak brings much-needed clarity and guidance to this pressing—and often misunderstood—debate.
Author : Gaurav Suri
Publisher : Princeton University Press
ISBN 13 : 1400834775
Total Pages : 296 pages
Book Rating : 4.4/5 (8 download)
Download or read book A Certain Ambiguity written by Gaurav Suri and published by Princeton University Press. This book was released on 2010-07-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.
Author : Roger Penrose
Publisher : Oxford University Press, USA
ISBN 13 : 9780195106466
Total Pages : 484 pages
Book Rating : 4.1/5 (64 download)
Download or read book Shadows of the Mind written by Roger Penrose and published by Oxford University Press, USA. This book was released on 1994 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the author's thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.
Author : Laurence BonJour
Publisher : Cambridge University Press
ISBN 13 : 9780521597456
Total Pages : 252 pages
Book Rating : 4.5/5 (974 download)
Download or read book In Defense of Pure Reason written by Laurence BonJour and published by Cambridge University Press. This book was released on 1998 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive defence of the rationalist view that insight independent of experience is a genuine basis for knowledge.
Author : Simon Duffy
Publisher : A&C Black
ISBN 13 : 1441113894
Total Pages : 225 pages
Book Rating : 4.4/5 (411 download)
Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-05-09 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges provide an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon B.Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seemingly incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
Author : Penelope Maddy
Publisher : Oxford University Press
ISBN 13 : 0190618698
Total Pages : 265 pages
Book Rating : 4.1/5 (96 download)
Download or read book What Do Philosophers Do? written by Penelope Maddy and published by Oxford University Press. This book was released on 2017 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you know the world around you isn't just an elaborate dream, or the creation of an evil neuroscientist? If all you have to go on are various lights, sounds, smells, tastes and tickles, how can you know what the world is really like, or even whether there is a world beyond your own mind? Questions like these -- familiar from science fiction and dorm room debates -- lie at the core of venerable philosophical arguments for radical skepticism: the stark contention that we in fact know nothing at all about the world, that we have no more reason to believe any claim -- that there are trees, that we have hands -- than we have to disbelieve it. Like non-philosophers in their sober moments, philosophers, too, find this skeptical conclusion preposterous, but they're faced with those famous arguments: the Dream Argument, the Argument from Illusion, the Infinite Regress of Justification, the more recent Closure Argument. If these can't be met, they raise a serious challenge not just to philosophers, but to anyone responsible enough to expect her beliefs to square with her evidence. What Do Philosophers Do? takes up the skeptical arguments from this everyday point of view, and ultimately concludes that they don't undermine our ordinary beliefs or our ordinary ways of finding out about the world. In the process, Maddy examines and evaluates a range of philosophical methods -- common sense, scientific naturalism, ordinary language, conceptual analysis, therapeutic approaches -- as employed by such philosophers as Thomas Reid, G. E. Moore, Ludwig Wittgenstein, and J. L. Austin. The result is a revealing portrait of what philosophers do, and perhaps a quiet suggestion for what they should do, for what they do best.
Author : Daniel D. Novotný
Publisher : Routledge
ISBN 13 : 1134630093
Total Pages : 353 pages
Book Rating : 4.1/5 (346 download)
Download or read book Neo-Aristotelian Perspectives in Metaphysics written by Daniel D. Novotný and published by Routledge. This book was released on 2014-04-16 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume re-examines some of the major themes at the intersection of traditional and contemporary metaphysics. The book uses as a point of departure Francisco Suárez’s Metaphysical Disputations published in 1597. Minimalist metaphysics in empiricist/pragmatist clothing have today become mainstream in analytic philosophy. Independently of this development, the progress of scholarship in ancient and medieval philosophy makes clear that traditional forms of metaphysics have affinities with some of the streams in contemporary analytic metaphysics. The book brings together leading contemporary metaphysicians to investigate the viability of a neo-Aristotelian metaphysics.
Author : Stefan Riedener
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110736225
Total Pages : 157 pages
Book Rating : 4.1/5 (17 download)
Download or read book Uncertain Values written by Stefan Riedener and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-10-25 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: How ought you to evaluate your options if you're uncertain about what's fundamentally valuable? A prominent response is Expected Value Maximisation (EVM)—the view that under axiological uncertainty, an option is better than another if and only if it has the greater expected value across axiologies. But the expected value of an option depends on quantitative probability and value facts, and in particular on value comparisons across axiologies. We need to explain what it is for such facts to hold. Also, EVM is by no means self-evident. We need an argument to defend that it’s true. This book introduces an axiomatic approach to answer these worries. It provides an explication of what EVM means by use of representation theorems: intertheoretic comparisons can be understood in terms of facts about which options are better than which, and mutatis mutandis for intratheoretic comparisons and axiological probabilities. And it provides a systematic argument to the effect that EVM is true: the theory can be vindicated through simple axioms. The result is a formally cogent and philosophically compelling extension of standard decision theory, and original take on the problem of axiological or normative uncertainty.
Author : Jairo José da Silva
Publisher : Springer
ISBN 13 : 3319630733
Total Pages : 275 pages
Book Rating : 4.3/5 (196 download)
Download or read book Mathematics and Its Applications written by Jairo José da Silva and published by Springer. This book was released on 2017-08-22 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.
Author : Giorgio Lando
Publisher : Bloomsbury Publishing
ISBN 13 : 147258368X
Total Pages : 240 pages
Book Rating : 4.4/5 (725 download)
Download or read book Mereology: A Philosophical Introduction written by Giorgio Lando and published by Bloomsbury Publishing. This book was released on 2017-06-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parthood and composition are everywhere. The leg of a table is part of the table, the word "Christmas" is part of the sentence "I wish you a merry Christmas", the 13th century is part of the Middle Ages. The Netherlands, Belgium, and Luxembourg compose Benelux, the body of a deer is composed of a huge number of cells, the Middle Ages are composed of the Early Middle Ages, High Middle Ages, and Late Middle Ages. Is there really a general theory covering every instance of parthood and composition? Is classical mereology this general theory? Are its seemingly counter-intuitive features serious defects? Mereology: A Philosophical Introduction addresses the multifaceted and lively philosophical debates surrounding these questions, and defends the idea that classical mereology is indeed the general and exhaustive theory of parthood and composition in the domain of concrete entities. Several examples of parthood and composition, involving entities of different kinds, are scrutinised in depth. Incidentally, mereology is shown to interact in a surprising way with metaontology. Presenting a well-organized and comprehensive discussion of parthood and related notions, Mereology: A Philosophical Introduction contributes to a better understanding of a subject central to contemporary metaphysics.
Author : Mark Balaguer
Publisher : Oxford University Press, USA
ISBN 13 : 9780195143980
Total Pages : 234 pages
Book Rating : 4.1/5 (439 download)
Download or read book Platonism and Anti-Platonism in Mathematics written by Mark Balaguer and published by Oxford University Press, USA. This book was released on 2001 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)
Author : James E. Dolezal
Publisher : Wipf and Stock Publishers
ISBN 13 : 1621891097
Total Pages : 260 pages
Book Rating : 4.6/5 (218 download)
Download or read book God without Parts written by James E. Dolezal and published by Wipf and Stock Publishers. This book was released on 2011-11-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The doctrine of divine simplicity has long played a crucial role in Western Christianity's understanding of God. It claimed that by denying that God is composed of parts Christians are able to account for his absolute self-sufficiency and his ultimate sufficiency as the absolute Creator of the world. If God were a composite being then something other than the Godhead itself would be required to explain or account for God. If this were the case then God would not be most absolute and would not be able to adequately know or account for himself without reference to something other than himself. This book develops these arguments by examining the implications of divine simplicity for God's existence, attributes, knowledge, and will. Along the way there is extensive interaction with older writers, such as Thomas Aquinas and the Reformed scholastics, as well as more recent philosophers and theologians. An attempt is made to answer some of the currently popular criticisms of divine simplicity and to reassert the vital importance of continuing to confess that God is without parts, even in the modern philosophical-theological milieu.
