عنوان

Mathematical logic :

شابک

3319972987

شابک

9783319972985

شابک اشتباه

3319972979

شابک اشتباه

9783319972978

کد کشور

bnb

شماره

b624178

عنوان اصلي

Mathematical logic :

نام عام مواد

[Book]

ساير اطلاعات عنواني

on numbers, sets, structures, and symmetry /

نام نخستين پديدآور

Roman Kossak

نام خاص و کميت اثر

1 online resource

عنوان فروست

Springer graduate texts in philosophy ;

مشخصه جلد

volume 3

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Chapter1. Mathematical Logic -- Chapter2. Logical Seeing -- Chapter3. What is a Number? -- Chapter4. Number Structures -- Chapter5. Points, Lines -- Chapter6. Set Theory -- Chapter7. Relations -- Chapter8. Definable Elements and Constants -- Chapter9. Minimal and Order-Minimal Structures -- Chapter10. Geometry of Definable Sets -- Chapter11. Where Do Structures Come From? -- Chapter12. Elementary Extensions and Symmetries -- Chapter13. Tame vs. Wild -- Chapter14. First-order Properties -- Chapter15. Symmetries and Logical Visibility One More Time.

بدون عنوان

0

متن يادداشت

This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book. Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics include tameness, minimality, and order minimality of structures. The book can be used as an introduction to model theory, but unlike standard texts, it does not require familiarity with abstract algebra. This book will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix. 9783319972985

شماره استاندارد بين المللي کتاب و موسيقي

9783319972978

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

Mathematics-- Philosophy.

موضوع مستند نشده

Algorithms & data structures.

موضوع مستند نشده

Applied mathematics.

موضوع مستند نشده

Computers-- Logic Design.

موضوع مستند نشده

Logic, Symbolic and mathematical.

موضوع مستند نشده

Mathematical foundations.

موضوع مستند نشده

Mathematics-- Applied.

موضوع مستند نشده

Mathematics-- History & Philosophy.

موضوع مستند نشده

Mathematics-- Logic.

موضوع مستند نشده

Mathematics-- Philosophy.

موضوع مستند نشده

Philosophy-- Logic.

موضوع مستند نشده

Philosophy of mathematics.

موضوع مستند نشده

Philosophy: logic.

موضوع مستند نشده

MAT015000

موضوع مستند نشده

PBB

موضوع مستند نشده

PBB

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Kossak, Roman, author

تاريخ عمليات

20201221083322.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y