Download or read book More Precisely The Math You Need to Do Philosophy Second Edition written by Eric Steinhart and published by Broadview Press. This book was released on 2017-10-30 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.
Download or read book More Precisely The Math You Need to Do Philosophy Second Edition written by Eric Steinhart and published by Broadview Press. This book was released on 2017-11-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: More Precisely is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of information.
Download or read book The Theory and Practice of Experimental Philosophy written by Justin Sytsma and published by Broadview Press. This book was released on 2015-11-27 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, developments in experimental philosophy have led many thinkers to reconsider their central assumptions and methods. It is not enough to speculate and introspect from the armchair—philosophers must subject their claims to scientific scrutiny, looking at evidence and in some cases conducting new empirical research. The Theory and Practice of Experimental Philosophy is an introduction and guide to the systematic collection and analysis of empirical data in academic philosophy. This book serves two purposes: first, it examines the theory behind “x-phi,” including its underlying motivations and the objections that have been leveled against it. Second, the book offers a practical guide for those interested in doing experimental philosophy, detailing how to design, implement, and analyze empirical studies. Thus, the book explains the reasoning behind x-phi and provides tools to help readers become experimental philosophers.
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. 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 Gödel 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.
Download or read book What Is Mathematics Really written by Reuben Hersh and published by Oxford University Press. This book was released on 1997-08-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.
Download or read book An Introduction to Philosophical Methods written by Christopher Daly and published by Broadview Press. This book was released on 2010-07-20 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Philosophical Methods is the first book to survey the various methods that philosophers use to support their views. Rigorous yet accessible, the book introduces and illustrates the methodological considerations that are involved in current philosophical debates. Where there is controversy, the book presents the case for each side, but highlights where the key difficulties with them lie. While eminently student-friendly, the book makes an important contribution to the debate regarding the acceptability of the various philosophical methods, and so it will also be of interest to more experienced philosophers.
Download or read book Categories for the Working Philosopher written by Elaine M. Landry and published by Oxford University Press. This book was released on 2017 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on category theory for a broad philosophical readership. There is no other discussion of category theory comparable in its scope. It is designed to show the interest and significant of category theory for philosophers working in a range of areas, including mathematics, proof theory, computer science, ontology, physics, biology, cognition, mathematical modelling, the structure of scientific theories, and the structure of the world. Moreover, it does this in a way that is accessible to non specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented fields, in a way that builds on the concepts already familiar to philosophers working in these areas. The book is split into two halves. The 'pure' chapters focus on the use of category theory for mathematical, foundational, and logical purposes, while the 'applied' chapters consider the use of category theory for representational purposes, investigating category theory as a framework for theories of physics and biology, for mathematical modelling more generally, and for the structure of scientific theories. Book jacket.
Download or read book An Introduction to Metalogic written by Aladdin M. Yaqub and published by Broadview Press. This book was released on 2014-10-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Metalogic is a uniquely accessible introduction to the metatheory of first-order predicate logic. No background knowledge of logic is presupposed, as the book is entirely self-contained and clearly defines all of the technical terms it employs. Yaqub begins with an introduction to predicate logic and ends with detailed outlines of the proofs of the incompleteness, undecidability, and indefinability theorems, covering many related topics in between.
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin. This book was released on 2015-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
Download or read book The Logic of Metaphor written by Eric Steinhart and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Metaphors and Logic Metaphors are among the most vigorous offspring of the creative mind; but their vitality springs from the fact that they are logical organisms in the ecology of l- guage. I aim to use logical techniques to analyze the meanings of metaphors. My goal here is to show how contemporary formal semantics can be extended to handle metaphorical utterances. What distinguishes this work is that it focuses intensely on the logical aspects of metaphors. I stress the role of logic in the generation and int- pretation of metaphors. While I don't presuppose any formal training in logic, some familiarity with philosophical logic (the propositional calculus and the predicate c- culus) is helpful. Since my theory makes great use of the notion of structure, I refer to it as the structural theory of m etaphor (STM). STM is a semant ic theory of m etaphor : if STM is correct, then metaphors are cognitively meaningful and are n- trivially logically linked with truth. I aim to extend possible worlds semantics to handle metaphors. I'll argue that some sentences in natural languages like English have multiple meanings: "Juliet is the sun" has (at least) two meanings: the literal meaning "(Juliet is the sunkIT" and the metaphorical meaning "(Juliet is the sun)MET". Each meaning is a function from (possible) worlds to truth-values. I deny that these functions are identical; I deny that the metaphorical function is necessarily false or necessarily true.
Download or read book All the Mathematics You Missed written by Thomas A. Garrity and published by 清华大学出版社有限公司. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Guide to Asian Philosophy Classics written by Puqun Li and published by Broadview Press. This book was released on 2012-07-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book guides readers through ten classic works of Asian philosophy. Several major schools of Eastern thought are discussed, including Hinduism, Buddhism, Confucianism, Daoism/Taoism, and Chan/Zen. The author connects the ideas of these schools to those of Western philosophy, thereby making the material accessible to people who are unfamiliar with the cultures and intellectual traditions of Asia. A wide range of important topics are addressed: reality, time, self, knowledge, ethics, human nature, enlightenment, and death.
Download or read book Physical Truth written by Bruce Rout and published by . This book was released on 2020-05-05 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why in the world would anyone need a philosophy? And a new one at that? What's the problem with the old one? Philosophy is ancient. Somewhere around 1920 or something. So what makes anyone think we need a new philosophy? How can a philosophy save us? And what's even more important, what does philosophy have to do with the price of a decent cheeseburger?The premise is rather simple: Truth exists. Objective reality exists. On both sides of an extremely divided world, truth itself is deemed either irrelevant or non-existent. There is a global battle over the belief systems of humanity. Stop for a second and consider: Has Russell's Paradox been resolved? Has this resolution been taught to children? Has humanity taken the wrong path? Have we made some very bad decisions a while back and we cannot find out where or how we did that? And what is the solution? - Bruce Rout Msc, Bsc: Masters degree in Mathematics from SFU, Astrophysics from U of A.
Download or read book Philosophical Introduction to Set Theory written by Stephen Pollard and published by Courier Dover Publications. This book was released on 2015-07-15 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
