Logic: Mathematics, Language, Computer Science and Philosophy: Volume I - Logic: Mathematics, Language and Philosophy - Softcover

De Swart, H.C.M.

Softcover

ISBN 10: 3631454341 ISBN 13: 9783631454343

Publisher: Peter Lang GmbH, Internationaler Verlag der Wissenschaften, 1993

Synopsis

Depending on what one means by the main connective of logic, the «if ..., then ... », several systems of logic result: classic and modal logics, intuitionistic logic or relevance logic. This book presents the underlying ideas, the syntax and the semantics of these logics. Soundness and completeness are shown constructively and in a uniform way. Attention is paid to the interdisciplinary role of logic: its embedding in the foundations of mathematics and its intimate connection with philosophy, in particular the philosophy of language. Set theory is presented both as a conditio sine qua non for logic and as a interesting exact ontology. The study of infinite sets yields perplexing results. Formalization of informal number theory results in formal number theory; Gödel's incompleteness is treated. At appropriate places attention is paid to paradoxes, intuitionism, conditionals, the historical development of logic, to logic programming and automated theorem proving for classical logic.

About this title

About the Author

The Author: H.C.M. de Swart (1944) studied mathematics and physics at Nijmegen University. His Ph.D. thesis was on intuitionistic logic (1976). He spent the academic year 1976/1977 as a Visiting Fellow at Princeton University. His appointment as full professor in logic and philosophy of language at Tilbury University followed in 1980. He is author or co-author of several books in Dutch: Sets (1975), Symbolic Logic (1976), Philosopy of Mathematics (1989) and The Theory of Social Choice (1992). Sets was translated into English (1978). He has published in several international journals.

Edition details

• Publisher: Peter Lang GmbH, Internationaler Verlag der Wissenschaften
• Publication date: 1993
• Language: English
• ISBN 10: 3631454341
• ISBN 13: 9783631454343
• Binding: Paperback
• Number of pages: 577