The way I read the essay, it seems to me that math is compatible with [1]. You don't have to follow any given rules. Make up your own ideas and see what they le

The way I read the essay, it seems to me that math is compatible with [1]. You don't have to follow any given rules. Make up your own ideas and see what they lead to. What if square roots of negative numbers exist? What if the sum of angles of a triangle is not 180 degrees? What if a proposition can be both true and false at the same time?