Thursday, September 13, 2007

Define your terms!

It never ceases to amaze me how people (especially geometers) can say that non-Euclidean geometry has "proven" that Euclidean geometry is false--evidently they don't know the basic rules of logic, especially the fallacy of using equivocal terms. A prime example: the definition of a line, as it applies to the so-called "parallel lines" postulate. I will be getting a copy of Dr. Augros' dissertation, and I recommend it, despite the price UMI charges.

No comments: