Theory Of Named Sets

Mark Burgin (Autor)

Buch | Hardcover

681 Seiten

2011
Nova Science Publishers Inc (Verlag)
978-1-61122-788-8 (ISBN)

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Set theory has become one of the most respected fields in mathematics due to the situation in which sets are used to build mathematical structures, pervading the whole of modern mathematics, and objects. This book presents and discusses research in the study of set theory, as well as their role and place in mathematics.

Set theory has become one of the most respected fields in mathematics due to the situation in which sets are used to build all mathematical structures, pervading the whole of modern mathematics, and objects, while set theory guarantees soundness of this approach. The language of set theory, in its relative simplicity, is sufficiently powerful to formalise virtually all mathematical concepts popular in the mathematical community. As a result, the majority of mathematicians assume that a set is the most fundamental object for the whole mathematics and consequently, set theory along with logical calculi, forms the most natural and adequate ultimate foundation for mathematics. This book presents and discusses research in the study of set theory, as well as their role and place in mathematics.

Preface; Introduction: Name as a Basic Concept in Science, Mathematics, Information Technology, Philosophy, & Society; Named Sets & their Mathematical Representation; Special classes of named sets; Types & Sorts of Named Sets; Operations with Named Sets; Named & multinamed numbers; Cardinality of Named Sets & Multicardinal Numbers; Chains & Arrays of Named Sets; Named Sets & Other Structures in Mathematics & Beyond; Conclusion; Index.

Erscheint lt. Verlag	22.11.2011
Zusatzinfo	Illustrations
Verlagsort	New York
Sprache	englisch
Maße	260 x 180 mm
Gewicht	1414 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	1-61122-788-7 / 1611227887
ISBN-13	978-1-61122-788-8 / 9781611227888
Zustand	Neuware