The Road to Paradox : A Guide to Syntax, Truth and Modality / Volker Halbach and Graham E. Leigh.

Format:

Book

Author/Creator:

Halbach, Volker, author.

Leigh, Graham E., author.

Language:

English

Subjects (All):

Paradox--Early works to 1800.

Paradox.

Truth.

Physical Description:

1 online resource (ix, 408 pages) : digital, PDF file(s).

Edition:

First edition.

Place of Publication:

Cambridge, England : Cambridge University Press, [2024]

Summary:

Truth, provability, necessity, and other concepts are fundamental to many branches of philosophy, mathematics, computer science, and linguistics. Their study has led to some of the most celebrated achievements in logic, such as Gödel's incompleteness theorems, Tarski's theorem on the undefinability of truth, and numerous accounts of the paradoxes associated with these concepts. This book provides a clear and direct introduction to the theory of paradoxes and the Gödel incompleteness theorems. It offers new analyses of the ideas of self-reference, circularity, and the semantic paradoxes, and helps readers to see both how paradoxes arise and what their common features are. It will be valuable for students and researchers with a minimal background in logic and will equip them to understand and discuss a wide variety of topics in philosophical logic.--Provided by publisher

Contents:

Aims and ends

Technical preliminaries

Predicates and conceptual analysis

Paradoxes over logic

A theory of expressions

The paradoxes

Possible worlds semantics

An expressive theory of expressions

Consistency, denotation, and arithmetic

Formal language

Formal truth

Generalizations and intensionality

Notes:

Title from publisher's bibliographic system (viewed on 26 Sep 2024).

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781108898164

1108898165

9781108888400

1108888402