[ZeteticElench]

"Why should we believe our experiences in the past are at all relevant to the future?"

I can glibly say because it is utterly insane and silly to argue otherwise due to the immense success of science to explain how the world works and produce sophisticated technology.

I could also take a Bayesian probability approach and assume some arbitrary prior 0 < p < 1 for the probability that when you apply paint to a brush and place that brush in contact with a white wall and move the brush in a circle a red circle will appear with the exact same size and the circle the brush moved in. Use the Bayesian formula to update your probability and then repeat a few thousand times. The probability will approach 1.