Spiritual level covers topics like God, ultimate truth, love, faith, happiness, they are metaphysical concepts which are in the world of infinity. If the topics is for everyday life, natural languages will be good. But natural languages are not proper for the infinity world. This problem can be solved by formal languages which can manage infinities. This book introduces some mathematical backgrounds to the formal languages and some key concepts in religions.
Contents
Preface
1. Languages for Spiritual Reading
2. Modern Algebra
2.1 Why Modern Algebra?
2.2 Equivalence. Congruence
2.3 Group Homomorphism
3. Set Theory
3.1 Set. Axioms
3.2 Well-Ordered Sets. Ordinals
3.3 The Axiom of Choice. Cardinals
4. Mathematical Logic
4.1 Syntax. Semantics
4.2 First-Ordered Languages
4.3 Filters. Incompleteness
5. Religion. Ultimate Truth
5.1 Judaism
5.2 Christianity
5.3 Taoism
5.4 Buddhism
5.5 Discussions
6. Questions and Answers
6.1 Mathematical Background
6.2 Some Concepts in Religion
Refrerences
Author
Hyeong Seon Yoo,Sophia Lee
인하대학교 공학사, KAIST 공학석사, Univ. of Ghent 공학박사, 인하대학교 명예교수
인하대학교 공학사, KAIST 공학석사, Univ. of Ghent 공학박사, 인하대학교 명예교수