Mathematical Logic On Numbers, Sets, Structures, and Symmetry /

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 th...

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Bibliographic Details
Main Author: Kossak, Roman (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Springer Graduate Texts in Philosophy, 3
Subjects:
Mathematics-Philosophy.
Mathematical logic.
Arithmetic and logic units, Computer.
Logic.
Applied mathematics.
Engineering mathematics.
ISBN:9783319972985
ISSN:2627-6046 ;
Online Access: Get full text
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Table of Contents:
  • 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. .

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