Hello, dear Vladimir!
You always write great essays! And most importantly - give beautiful drawings. "The truth is to be drawn ..." (A.Zenkin. "Scientific counter-revolution in mathematics"). You are right: «There is a necessity to examine our philosophy of knowing. By their very nature our best theories are merely our best guesses, and there is no guarantee that better theories may not be discovered contradicting present assumptions and / or presenting new ones. »Good luck in the contest! Regards, Vladimir