There is a large difference between understanding mathematical concepts, e.g. ordinal numbers, and using effects that we describe using such mathematical concep

There is a large difference between understanding mathematical concepts, e.g. ordinal numbers, and using effects that we describe using such mathematical concepts. For example, you wouldn’t say that a human ‘understands’ how signals propagate from the brain to the hand to then do some calculations and hence decide when to tell his hand to let go of a ball he is trying to throw. What happens instead is that by repetition and exercise, we develop experience that lets us match the current requirements to previous ones and then repeat what we did previously.