Quasi-matrix deontic logic. The logic of norms

The paper proposes the logic based on the principle of quasi-functionality. In line with it, not only the relation of unambiguous conditioning takes place in nature, society, cognition between phenomena, but also the relation of ambiguous conditioning. In particular, a certain reason can cause both a certain consequence, and under the same conditions in the first case — one certain consequence from several possible cases, and in the second - another consequence from the same several possible cases. Functionality, i.e. unambiguous conditioning, and total uncertainty, i.e. randomness, are particular cases of quasi-functionality. The paper considers the method of proving the completeness of the calculus of three-valued logic constructed earlier by the author. This method provides the possibility of developing technical applications of deontic logic

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