I think the primary problem with positivism is the knowledge about the universe is never fully attained, so it feels more like a confused reasoning process. The assumption the scientific method will explain everything someday is irrational. When is that going to happen? With more work? What positivism really is, is a commitment to a bunch of work in the future to "prove" something is this and not that. The future never arrives.
Mysticism is the flipside of that. A mystical approach builds a metaphor to exist that "makes sense" but can't really be tested or analyzed by scientific methods. Faith takes over there, where just believing something irrational to be true, makes it true. Maybe that includes visualizing something over and over again?
Between these two extremes sits a philosophy that holds that there is value in both kinds of knowledge, and that both can be used to improve our understanding of the world. This philosophy emphasizes the need for both scientific and spiritual knowledge in order to create a complete picture of reality.
Unfortunately, the scientific method is a bit annoying sometimes, given it's absolute insistence all things may be disproved. It's a little like a virus in that regard, growing without bounds or purpose, other than to try to avoid the mystical outlooks at all costs.