Meaning and Argument is a popular introduction to philosophy of logic and philosophy of language.Offers a distinctive philosophical, rather than mathematical, approach to logicConcentrates on symbolization and works out all the technical logic with truth tables instead of derivationsIncorporates the insights of half a century's work in philosophy and linguistics on anaphora by Peter Geach, Gareth Evans, Hans Kamp, and Irene Heim among others...

In "Some Remarks on Logical Form," Ludwig Wittgenstein revisits and substantially qualifies the austere picture of language developed in the Tractatus Logico-Philosophicus. The essay examines the relation between propositions, elementary propositions, and the structures of reality they represent, with particular attention to the difficulty of analyzing systems of color exclusion and other forms of incompatibility. Its compressed, argumentative prose retains the Tractatus's architectonic am...

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method...

This revised and considerably expanded 2nd edition, published in 2008, brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are exp...

Perhaps the most important work of philosophy written in the twentieth century, Tractatus Logico-Philosophicus was the only philosophical work that Ludwig Wittgenstein published during his lifetime. Written in short, carefully numbered paragraphs of extreme brilliance, it captured the imagination of a generation of philosophers. For Wittgenstein, logic was something we use to conquer a reality which is in itself both elusive and unobtainable. He famously summarized the book in the...

This book provides a comprehensive account of the intentionality of perceptual experience. With special emphasis on vision Searle explains how the raw phenomenology of perception sets the content and the conditions of satisfaction of experience. The central question concerns the relation between the subjective conscious perceptual field and the objective perceptual field. Everything in the objective field is either perceived or can be perceived. Nothing in the subjective field is perceived...

First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic.

In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of ...

Published in 1953, Wittgenstein's Philosophical Investigations had a deeply unsettling effect upon our most basic philosophical ideas concerning thought, sensation and language. Its claim that philosophical questions of meaning necessitate a close analysis of the way we use language continues to influence Anglo-American philosophy today. However, its compressed and dialogic prose is not always easy to follow. This collection of essays deepens but also challenges our understanding of the wo...

What is the number one? How can we be sure that 2+2=4? These apparently ssimple questions have perplexed philosophers for thousands of years, but discussion of them was transformed by the German philosopher Gottlob Frege (1848-1925).Frege (pronounced Fray-guh)believed that arithmetic and all mathematics are derived from logic, and to prove this he developed a completely new approach to logic and numbers. Joan Weiner presents a very clear outline of Frege's life and ideas, showing ho...