Formal limiting domain of applicability of "Hume's Guillotine" and explicating the border-line between the nature-metaphysics and the classical physics by means of two-valued algebra of metaphysics as formal axiology

The paper submits a formal limitation of the domain of relevant applicability of "Hume's Guillotine" by means of precise definitions of epistemic modalities "a-priori-knowledge-of-being" and "a-priori-knowledge-of-value". Logical interconnections between these modalities are graphically modeled by means of the logical square and hexagon. The abstract logical-philosophical corollaries are illustrated by concrete examples from the classical physics. For the first time in the world literature on nature-philosophy the three laws of classical physics, which are well-known as "the ones of Newton", are considered from the viewpoint of two-valued algebra of metaphysics as formal axiology. At the very beginning of the paper the author submits a logical square and hexagon of opposition of epis-temic modalities "a-priori knowledge" and "a-posteriori one". The two kinds of knowledge and their contrariness are precisely defined by means of compositions of epistemic, alethic, and axiological modalities. Systematically exploiting the hypothetic-deductive method the author investigates the set of logic consequences of accepting the above-mentioned hypothetical precise definitions of the epis-temic modalities "a-priori-knowledge-of-being" and "a-priori-knowledge-of-value" and of the graphic representation of their logical interrelations. Accepting the submitted definitions (and the square-and-hexagon-of-opposition) of epistemic modalities implies a set of nontrivial consequences to be examined by comparing with specific materials of concrete sciences. In the present paper the consequences are compared with the material of classical physics, namely, with "the three laws of Newton". Being for-mally-axiologically interpreted and precisely formulated in terms of two-valued algebra of metaphysics as formal axiology the laws in question have passed the examination successfully: they are (formal-axiological) laws of nature-metaphysics in that special meaning of the term "law" which is precisely defined in two-valued algebra of metaphysics as formal axiology.

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