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This is a weighty volume and is not light reading; yet, it is worth forging through to see where mathematical perspective has been and where it is going in relationship to world views. Especially interesting are the essays on how the post-modern, relativistic world views mathematical truths. The collection of authors who contributed to the book is impressive, especially considering their diverse educational and theological backgrounds.
This book is a compendium of twelve articles by various authors. The first chapter by Paul Zwier hints at some of the potential problems that could upend the thesis of this book, but unfortunately fizzles out at the end. The Conclusion is by far the most promising and insightful as to the nature of, and problems in, mathematics. Most of the rest consist of innocuous, lukewarm, uncritical and uncontroversial presentations that are of little help in gaining insight into the nature of math. The Bibliography and Index are anemic.
This is another book that is trying hard to associate mathematics with God. I do not completely understand why some people find this need to "Christianize" mathematics. In any case, it is an impossible task, and the authors are little aware of the critical work done in this field by the greatest philosophers of the 19th-20th centuries, and keep plodding ahead with no direction. When potentially contrary ideas are mentioned that might threaten the thesis of this book, they are quietly glossed over and mostly ignored.
First and foremost, but in my opinion the most important weakness, is that the writers do not have a clear definition of the word truth. This is the dark shadow that discolors and makes almost irrelevant most of what is written in this book.
Mathematics is a man-made tool, just like hammers and jigsaws. It is imperfect because it is based on axioms that are not, and probably never will be, clearly defined. Furthermore, these assumptions are fallible and unrelated to the "real" world. This guarantees that all outcomes in mathematics are not only not true, but inconsistent. The "unreasonable effectiveness" is an illusion. The authors need to engrave the following quote on the doorposts of their classrooms. "...Read more ›