Structuralism And Structures: 21 (Series In Pure Mathematics) - Hardcover

Rickart, Charles E

Hardcover

ISBN 10: 9810218605 ISBN 13: 9789810218607

Publisher: World Scientific Publishing Co Pte Ltd, 1995

Synopsis

This book is devoted to an analysis of the way that structures must enter into a serious study of any subject, and the term “structuralism” refers to the general method of approaching a subject from the viewpoint of structure. A proper appreciation of this approach requires a deeper understanding of the concept of structure than is provided by the simple intuitive notion of structures that everyone posseses to some degree. Therefore, a large part of the discussion is devoted directly or indirectly to a study of the nature of structures themselves. A formal definition of a structure, plus some basic general properties and examples, is given early in the discussion. Also, in order to clarify the general notions and to see how they are used, the later chapters are devoted to an examination of how structures enter into some special fields, including linguistics, mental phenomena, mathematics (and its applications), and biology (especially in the theory of evolution). Because the author is a mathematician, certain mathematical ideas have influenced greatly the choice and approach to the material covered. In general, however, the mathematical influence is not on a technical level and is often only implicit. Even the chapter on mathematical structures is nontechnical and is about rather than on mathematics. Only in the last chapter and earlier in three short sections does one find any of the expected “formal” mathematics. In other words, the great bulk of the material is accessible to someone without a mathematical background.

About this title

Synopsis

This text provides an analysis of the way mathematical structures must enter into a serious study of any subject. The term "structuralism" refers to the general method of approaching a subject from the view point of structure.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1995
• Language: English
• ISBN 10: 9810218605
• ISBN 13: 9789810218607
• Binding: Hardcover
• Number of pages: 236