Philosophical Devices Proofs Probabilities Possibilities And Sets
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Author | : David Papineau |
Publisher | : OUP Oxford |
Total Pages | : 224 |
Release | : 2012-10-04 |
Genre | : Philosophy |
ISBN | : 0191656259 |
This book is designed to explain the technical ideas that are taken for granted in much contemporary philosophical writing. Notions like 'denumerability', 'modal scope distinction', 'Bayesian conditionalization', and 'logical completeness' are usually only elucidated deep within difficult specialist texts. By offering simple explanations that by-pass much irrelevant and boring detail, Philosophical Devices is able to cover a wealth of material that is normally only available to specialists. The book contains four sections, each of three chapters. The first section is about sets and numbers, starting with the membership relation and ending with the generalized continuum hypothesis. The second is about analyticity, a prioricity, and necessity. The third is about probability, outlining the difference between objective and subjective probability and exploring aspects of conditionalization and correlation. The fourth deals with metalogic, focusing on the contrast between syntax and semantics, and finishing with a sketch of Gödel's theorem. Philosophical Devices will be useful for university students who have got past the foothills of philosophy and are starting to read more widely, but it does not assume any prior expertise. All the issues discussed are intrinsically interesting, and often downright fascinating. It can be read with pleasure and profit by anybody who is curious about the technical infrastructure of contemporary philosophy.
Author | : David Papineau |
Publisher | : Oxford University Press |
Total Pages | : 213 |
Release | : 2012-10-04 |
Genre | : Mathematics |
ISBN | : 0199651728 |
Philosophical Devices introduces the technical ideas that are taken for granted in contemporary philosophical writing. It offers simple explanations and covers a wealth of material that is normally available only to specialists. This original, distinctive book will appeal to anyone who is curious about the technical infrastructure of philosophy.
Author | : Michael Bruce |
Publisher | : John Wiley & Sons |
Total Pages | : 435 |
Release | : 2011-08-24 |
Genre | : Philosophy |
ISBN | : 1444344412 |
Does the existence of evil call into doubt the existence of God? Show me the argument. Philosophy starts with questions, but attempts at answers are just as important, and these answers require reasoned argument. Cutting through dense philosophical prose, 100 famous and influential arguments are presented in their essence, with premises, conclusions and logical form plainly identified. Key quotations provide a sense of style and approach. Just the Arguments is an invaluable one-stop argument shop. A concise, formally structured summation of 100 of the most important arguments in Western philosophy The first book of its kind to present the most important and influential philosophical arguments in a clear premise/conclusion format, the language that philosophers use and students are expected to know Offers succinct expositions of key philosophical arguments without bogging them down in commentary Translates difficult texts to core arguments Designed to provides a quick and compact reference to everything from Aquinas’ “Five Ways” to prove the existence of God, to the metaphysical possibilities of a zombie world
Author | : Theodore Sider |
Publisher | : Oxford University Press |
Total Pages | : 305 |
Release | : 2010-01-07 |
Genre | : Philosophy |
ISBN | : 0192658816 |
Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.
Author | : Bob Hale |
Publisher | : Oxford University Press, USA |
Total Pages | : 309 |
Release | : 2013-09-19 |
Genre | : Language Arts & Disciplines |
ISBN | : 0199669570 |
Bob Hale presents a broadly Fregean approach to metaphysics, according to which ontology and modality are mutually dependent upon one another. He argues that facts about what kinds of things exist depend on facts about what is possible. Modal facts are fundamental, and have their basis in the essences of things—not in meanings or concepts.
Author | : Eric Steinhart |
Publisher | : Broadview Press |
Total Pages | : 250 |
Release | : 2017-11-21 |
Genre | : Philosophy |
ISBN | : 155481345X |
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.
Author | : David Z Albert |
Publisher | : Harvard University Press |
Total Pages | : 188 |
Release | : 2003-02-28 |
Genre | : Science |
ISBN | : 0674020138 |
This book is an attempt to get to the bottom of an acute and perennial tension between our best scientific pictures of the fundamental physical structure of the world and our everyday empirical experience of it. The trouble is about the direction of time. The situation (very briefly) is that it is a consequence of almost every one of those fundamental scientific pictures--and that it is at the same time radically at odds with our common sense--that whatever can happen can just as naturally happen backwards. Albert provides an unprecedentedly clear, lively, and systematic new account--in the context of a Newtonian-Mechanical picture of the world--of the ultimate origins of the statistical regularities we see around us, of the temporal irreversibility of the Second Law of Thermodynamics, of the asymmetries in our epistemic access to the past and the future, and of our conviction that by acting now we can affect the future but not the past. Then, in the final section of the book, he generalizes the Newtonian picture to the quantum-mechanical case and (most interestingly) suggests a very deep potential connection between the problem of the direction of time and the quantum-mechanical measurement problem. The book aims to be both an original contribution to the present scientific and philosophical understanding of these matters at the most advanced level, and something in the nature of an elementary textbook on the subject accessible to interested high-school students.
Author | : Alexander L. George |
Publisher | : Wiley-Blackwell |
Total Pages | : 244 |
Release | : 2001-12-03 |
Genre | : Science |
ISBN | : 9780631195443 |
This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
Author | : David Stirzaker |
Publisher | : Cambridge University Press |
Total Pages | : 540 |
Release | : 2003-08-18 |
Genre | : Mathematics |
ISBN | : 1139441035 |
Now available in a fully revised and updated second edition, this well established textbook provides a straightforward introduction to the theory of probability. The presentation is entertaining without any sacrifice of rigour; important notions are covered with the clarity that the subject demands. Topics covered include conditional probability, independence, discrete and continuous random variables, basic combinatorics, generating functions and limit theorems, and an introduction to Markov chains. The text is accessible to undergraduate students and provides numerous worked examples and exercises to help build the important skills necessary for problem solving.
Author | : David Wallace |
Publisher | : OUP Oxford |
Total Pages | : 547 |
Release | : 2012-05-24 |
Genre | : Philosophy |
ISBN | : 0191057398 |
The Emergent Multiverse presents a striking new account of the 'many worlds' approach to quantum theory. The point of science, it is generally accepted, is to tell us how the world works and what it is like. But quantum theory seems to fail to do this: taken literally as a theory of the world, it seems to make crazy claims: particles are in two places at once; cats are alive and dead at the same time. So physicists and philosophers have often been led either to give up on the idea that quantum theory describes reality, or to modify or augment the theory. The Everett interpretation of quantum mechanics takes the apparent craziness seriously, and asks, 'what would it be like if particles really were in two places at once, if cats really were alive and dead at the same time'? The answer, it turns out, is that if the world were like that—if it were as quantum theory claims—it would be a world that, at the macroscopic level, was constantly branching into copies—hence the more sensationalist name for the Everett interpretation, the 'many worlds theory'. But really, the interpretation is not sensationalist at all: it simply takes quantum theory seriously, literally, as a description of the world. Once dismissed as absurd, it is now accepted by many physicists as the best way to make coherent sense of quantum theory. David Wallace offers a clear and up-to-date survey of work on the Everett interpretation in physics and in philosophy of science, and at the same time provides a self-contained and thoroughly modern account of it—an account which is accessible to readers who have previously studied quantum theory at undergraduate level, and which will shape the future direction of research by leading experts in the field.