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.

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The traversed state space of one execution of a program in FP can be stored, represented and replayed as a sequence of delta modifications, each representing the current expansion in the ruleset the program represents, as a property of FP itself, and implemented within the program.
Double-buffering involves desstroying time N-1 in order to render one frame into the future; you cannot "scrub" arbitrarily through time as in FP because you only have two frames.