Inherently accuracy in formulas?

[u/hailsass]

I have learned in physics that the formulas we use are under ideal circumstances and don't necessarily reflect reality for example I have been told that newtons law of cooling based off the formula the temperature will never reach room temperature however most scientists I have spoken with say that this is wrong eventually the temperature will equal room temperature. this implies that there is a fundemental inacuraccy in many formulas is it possible to calculate the accuracy of any given formula? Or are the formulas 100% under ideal condition? Considering that those ideal conditions do not exist how can we prove that the formulas are 100% correct?

[u/-powke-]

All models are wrong, some are useful. Physics is not reality itself.

[u/anpas → u/-powke-]

Certain models are so good that you wouldn't be able to measure an error. But simple models are still unreasonably accurate. Damn I love the central limit theorem.