I didn't think of prediction in the statistical sense here, but rather as a prophecy based on a vision, something that is inherently stored in a model without the knowledge of the modelers. I don't want to imply any magic or something supernatural here, it's just the juice that goes off the rails sometimes, and it gets overlooked due to the sheer quantity of the weights. Something like unknown bugs in production, but, because they still just represent a valid number in some computation that wouldn't cause any panic, these few bits can show a useful pattern under the right circumstances.
Inference would be the part that is deliberately learned and drawn from conclusions based on the training set, like in the "classic" sense of statistical learning.
