Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Taking students beyond classical mathematical logic, Philosophical Logic is a wide-ranging introduction to more advanced topics in the study of philosophical logic. Starting by contrasting familiar classical logic with constructivist or intuitionist logic, the book goes on to offer concise but easy-to-read introductions to such subjects as quantificational and syllogistic logic, modal logic and set theory. Chapters include: - Sentential Logic - Quantificational Logic - Sentential Modal Logic - Quantification and Modality - Set Theory - Incompleteness - An Introduction to Term Logic - Modal Term Logic In addition, the book includes a list of symbols and a glossary of terms for ease of reference and exercises throughout help students master the topics covered in the book. Philosophical Logic is an essential, student-friendly guide for anyone studying these difficult topics as part of their Logic course.

Logic --- Logic - Textbooks

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, id est, the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, id est, the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors’ account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics.

Arithmetic --- Ontology. --- Philosophy.