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An important introductory note on axioms, formal mathematics, and the following three texts.
The text Introduction to Proof in Abstract Mathematics (copyright 1990 Saunders College Publishing) has been reissued by Dover Publications (copyright 2011, Andrew Wohlgemuth). Read the introduction to the Dover edition here.
The following two texts may be downloaded free. They are copyrighted, but may be freely copied for personal or class use.
Available (free) from the Digital Commons of the University of Maine library, or Download as a 982K pdf file.
Available (free) from the Digital Commons of the University of Maine library, or Download as a 246K pdf file.
Read the introduction here.
Here's a note on sketches in high-school geometry.
The introductory sections of the two texts above contain some observations on mathematics and philosophy. More of this in The "Unreasonable" Effectiveness of Mathematics.
An essay review of The Resurrection of God Incarnate by Richard Swinburne, Oxford University Press, 2003. The review was first published in the online journal of the philosophy of religion Ars Disputandi, www.arsdisputandi.org (2004), and republished by The New Oxonian, June 1, 2012.
Here's a list of my publications in biomedical research.
Here's the story of my involvement in biomedical research.
A FEW LESS PROFOUND BUT PERHAPS HELPFUL NOTES