Everything that was discovered in math and physics was foreshadowed at the time. Your description means you were being taught correctly by excellent knowledgea

Everything that was discovered in math and physics was foreshadowed at the time. Your description means you were being taught correctly by excellent knowledgeable people. If when you moved onto deeper subjects this was no longer the case, it means the learning regime you were undergoing wasn't optimal. This is especially true for pure math. Pure math is an experimental science like any other. It may feel more mystical and interesting when you are learning stuff that seems to exist for no reason, but really you are just missing out.