there's a difference between perfection and completion. If you can't complete the division, and if pi is defined by that division (instead of a fraction), then circles are not complete.... they will forever dangle in limbo, waiting for a better way to define their area; tsk, tsk. I was also taught that pi varies with the size of the circle, that we just use 3.1416 as a standard but it isn't the truth for every size circle. So circles have this skeleton in their closet, you just can't trust 'em.
the human mind is even more faulty, as you pointed out, it runs in circles and if not tamed, tends to explode. The big problem there is all the skeletons in our collective closet, if our leaders would stop running us in circles and give us a square deal.... like, honest money.... but that will never happen.
The best we can hope for is an honest boss and fair treatment. I square up with my boss each week. Even if I am short on hours and worried about holding the family budget together, at least I know that I am paid a fair amount for the work I did perform. Fair as square.
A long time ago, I explained to Geoff that his reasoning was circular, but he never got it, or, at least, he never changed his process. His work on these boards, which was far greater than my own contributions, were still incomplete... he left us with a feeling, like, "wait, there's more to come, right? This can't be the full explanation." That was the effect of his circular reasoning.
My posts always square up with the reader. I might make a mistake here or there, but you know what the post is saying. There is a solid feeling, actual substance, because they say things in straight lines. I get strong rebuttals because that's what happens when you make a strong point.
squares work for me
p.s. love the nic