Now it’s been said that a triangle never has nor ever will exist in nature. And it always struck me, the beauty and simplicity of this statement, and that it’s so obviously true, but requires no mathematical proof, and that if people would wonder at the ability of philosophy to establish truth, they need only consider this statement, to see that it is possible and has happened before.
And I’d like to conjecture from it, to see what else might be established, and not proceed mathematically, or by logic, but by intuition.
So that if we were to somehow find a triangle in nature. One whose angles add up perfectly to 180 degrees so that we do not even have to list endless 0s followed by a decimal. We can just say 180 degrees, the same as if we saw it on a blackboard.
Then that triangle must also be eternal. Now I could make up various reasons, such that if were to be perfect, nature couldn’t affect it somehow, though it would itself exist in nature. And I’m sure you could conjure up your own, but this is basically an intuitive statement, one that derives from the perfection of the object.