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.
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.
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.
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.
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.
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.
This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.
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.
Some sentences in natural languages like English have multiple meanings. Steinhart (William Paterson U. of New Jersey) divides the meanings into literal and metaphorical, denies that they are the same, and denies that the metaphorical function is necessarily false or necessarily true. He argues that most metaphors are based on analogies, which he defines as the relative structural indiscernibility of parts of worlds, and that a metaphor is true for a particular world if and only if certain parts of that world are relatively structurally indiscernible, that is, are analogous. c. Book News Inc.
