The next post in my ‘Reason as a Guide to Reality’ is available on Wheat and Tares. This one is thoughts on what it means to comprehend something.Here is a quote to whet your appetite:

Assuming you also understand what a circle is and what the rules of Euclidean geometry are, then this definition of PI is alone enough to come up with a procedure that encapsulates PI in its entirely, as shown in my first post. Therefore, to comprehend something is to have the right (most right?) explanation of it. This is, in and of itself, a sort of algorithmic compression whereby we can take a impossibly large concept and encapsulate it into a simple set of explanations. (In this case the definition of PI, an understanding of what a circle is, and the rules of Euclidean geometry.)