In my previous articles to E-LOGOS (2001, 2002, 2003) I introduced the original conception of philosophical personalist cosmology (in the aspects of ontology, epistemology, philosophy of science, axiology) and the derived Cosmist theory and methodology. Now the urge is to deepen the exploration by explaining the epistematic (not epistemic) basic principles of my approach, aiming, ultimately, for attaining personal wellness and improving human health. In this way, the main goal of my undertaking lies in proposing a Cosmist episteme and the derived BioCosmology, which might shift the world science towards a universal level - from the modern unified understanding of the world (which the teleological "survival" is) to the future universal naturalist and personalist (a Cosmist episteme based) understanding of objective data and subjective experience, the latter being of primary significance. In the end, I cast light on the significance of Slavic civilization in realizing the universal (equitable appropriate favorable) world future. Meaningly, the vocabulary of Cosmist terms is presented at the end of the paper.