This article talks about wonderworking which along with foresight (prior viewing of something in the future) was at all times as the sort of traditional competitor to the prevailing academic foundations. In particular, the author thoroughly explains that only single factor of the multi-layering live organisms is quite enough for the adequate justification of anthropomorphic miracles (also named in this case “thaumaturgy”). While most of the rest of the mysterious (including heavenly or even sacral) phenomena can be interpreted by means of a drastic change in the current natural science base. Above all, there is kept in mind the recognition of dominant astrological dependence and (what already suggests here itself) the superior governing noosphere as well. Moreover, the last clarification to the greatest extent concerns the very predictive practice because at almost any its rationale, one may hardly do without the thinking & computing noosphere. At the same time, as an illustrative example, the situation with having previously forecasted World War III which is about to become, alas, an inevitable reality, is given.