Mathematical objects

There is no mathematics in a clock. I have devised new, mathematical clock. Every second, a new clock will be created with the hands in a different position.

There is no mathematics in a gun. When you pull the trigger on my ``mathematical gun'' an object with a bullet hole will appear, together with another copy of the gun where the bullet has been fired. The original object and gun will be unchanged.

Driving a car has nothing to do with mathematics. Turning the steering wheel should create a new car moving in a different direction. The fuel tank of this new car would have slightly less fuel than the previous car. This car will be on a new road which is in a slightly different relative position to the car.

>>25
Those are all views on the effects created by their inputs, of course rendering a triangle will not modify the triangle itself in any way. It's not a metaphor, it's the only sane way of implementing anything where the type of the input is different to the type of the output.
Anyway, you are interpreting >>1 incorrectly. >>1 is saying "FP is a bad metaphor for the world", and you are reading "only FP creates new states of things like this".