Or we can reject ontological anti-realism. That is, what "exists" in the first place are linguistic conventions constrained by physics, our understanding, and practicality.
Please note the inverted commas around 'exists' in my comment. They are there for a reason.
I can imagine the layman ascribing some mystical quality to ontological anti-realism, but, ironically, the view acts to dispel the mystical quality of uncritical "existence" claims that many take for granted (much like theism, moral realism, etc.).
