Plato's cave, as described in The Republic, is considered as a source of inspiration for a mathematical presentation of the process of perception and decision. The epistemological operator allows for a description of some aspects of a system's epistemological subjectivity. The involvement of inverse transfers of the system's structures is discussed. Consideration of the epistemo‐praxiological cave and the physicist's cave gives further interpretations to Plato's allegory.
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