Redeeming Mathematics: A God-Centered Approach (Vern S. Poythress)
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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.
Table of Contents
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
Endorsements
“Redeeming Mathematics is a valuable addition the growing literature on the relationship between mathematics and Christian belief. Poythress’s treatment of three distinct dimensions of mathematics—as transcendent abstract truths, as part of the physical world, and as comprehensible to human beings—is a unique and helpful addition to the conversation on this relationship. The book is accessible to non-specialists, but even those who are well-versed in these matters will find much to interest and challenge them.”
-- James Bradley, Professor Emeritus of Mathematics, Calvin College; author, Mathematics Through the Eyes of Faith; Editor, Journal of the Association of Christians in the Mathematical Sciences
Product Details
Author: Vern S. Poythress
Format: Paperback
Page Count: 208
Size: 15.3 cm x 23 cm
Weight: 0.5 kg
ISBN: 9781433541100
Published: January 31, 2015