Redeeming Mathematics
A God-Centered Approach
Redeeming Mathematics
A God-Centered Approach
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Publisher: Crossway Books
ISBN: 9781433541100
Number of Pages: 208
Published: 31/01/2015
Width: 14 cm
Height: 21.6 cm
What does God have to do with mathematics?
Everything.
In this book, Vern Poythress argues that the harmony of abstract mathematical truths, the physical world of things, and the personal world of our thinking depends on the existence of the Christian God. Poythress shows that these distinct “perspectives” on mathematics cohere because all three find their origin in God’s consistent character and nature.
Whether it’s simple addition and subtraction or more complex mathematical concepts such as set theory and the nature of infinity, this fascinating book lays a theistic foundation for all mathematical inquiry.
Introduction: Why God?
Part 1: Basic Questions
- God and Mathematics
- The One and the Many
- Naturalism
- The Nature of Numbers
Part 2: Our Knowledge of Mathematics
- Human Capabilities
- Necessity and Contingency
Part 3: Simple Mathematical Structures
- Addition
- The Idea of What Is Next
- Deriving Arithmetic from Succession
- Multiplication
- Symmetries
- Sets
Part 4: Other Kinds of Numbers
- Division and Fractions
- Subtraction and Negative Numbers
- Irrational Numbers
- Imaginary Numbers
- Infinity
Part 5: Geometry and Higher Mathematics
- Space and Geometry
- Higher Mathematics
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
