Redeeming mathematics: a god-centered approach

Diagrams and Illustrations

Introduction: Why God?

Part I. Basic Questions

1. God and Mathematics

2. The One and the Many

3. Naturalism

4. The Nature of Numbers

Part II. Our Knowledge of Mathematics

5. Human Capabilities

6. Necessity and Contingency

Part III. Simple Mathematical Structures

7. Addition

8. The Idea of What Is Next

9. Deriving Arithmetic from Succession

10. Multiplication

11. Symmetries

12. Sets

Part IV. Other Kinds of Numbers

13. Division and Fractions

14. Subtraction and Negative Numbers

15. Irrational Numbers

16. Imaginary Numbers

17. Infinity

Part V. Geometry and Higher Mathematics

18. Space and Geometry

19. Higher Mathematics

Conclusion

Supplements

Resources

Appendix A. Secular Theories about the Foundations of Mathematics

Appendix B. Christian Modifications of Philosophies of Mathematics

Appendix C. Deriving Arithmetic

Appendix D. Mathematical Induction

Appendix E. Elementary Set Theory

Bibliography

General Index

Scripture Index