This book is primarily intended for people who have some acquaintance with deductive methods in elementary formal logic, but who have yet to study associated philosophical problems. Russell coined the phrase "philosophical logic" to describe the process whereby sentences are formalized in the language of logic. Most of this book is devoted to problems which arise when attempts are made to formalize English in logical languages. The rest considers the rationale behind this activity. The exercises in the text are designed to encourage readers to contribute their own thoughts to the various problems.
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Mark Sainsbury read PPE at Oxford and taught at Oxford and Essex before moving to London in 1978. He is the author of Russell (1979) and Paradoxes (1988). He is Stebbing Professor of Philosophy at King′s College London.
When is a reason for doing or believing something a good reason? Logic′s contribution to answering this question has typically involved expressing English in ′logical form′: that is, using a special notation to bring out logical features more clearly.
The correct identification of logical forms has been held to be important not only to logic but also to philosophy. Bertrand Russell coined the phrase ′philosophical logic′ to describe an approach to philosophical problems: find the correct logical form of the problematic sentences, and the problems vanish.
Mark Sainsbury explains both the detailed problems involved in finding logical forms and also the theoretical underpinnings of the approach. He provides exercises throughout the book, each closely integrated with the text and often an integral part of the text′s development. The result is a genuinely interactive introduction which engages the reader in developing the argument. Each chapter concludes with notes to guide further reading.
Logical Forms examines the formal languages of classical first order logic and modal logic, and some alternatives (free logic, binary and substitutional quantifiers), and in each case takes as the central question: how can natural language best be formalized in this formal language? The approach involves close encounters with issues in the philosophy of logic (for example, the nature of validity) and the philosophy of language (for example, the truth conditions of sentences containing definite descriptions, empty names and verbs of propositional attitude).
This book does not presuppose a knowledge of deductive methods in formal logic and, while many of its readers will have some acquaintance with the field, it will be of immense benefit to those approaching philosophical logic for the first time.
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