The text addresses the fundamental philosophical problem of distinguishing between true emergence, characterized by the surfacing of the genuinely new, and false novelty, which results merely from a contingent accumulation of external circumstances. The author argues that true uniqueness must not be reduced to a mere configuration or arrangement of factors, as such a reductionist approach ignores the ontological depth of the creative process. While false uniqueness can be mathematically modeled as a non-repeating assembly of regular points, genuine emergence involves the entry of an element that was not previously present and cannot be induced by any modifications or rearrangements of existing circumstances. To conceptualize true emergence rigorously and consistently, the author introduces the concept of non-objectivity, specifically pure non-objectivity. This concept is essential for thinking about emergence in its pure form, providing a theoretical framework that transcends the limitations of objective reality and avoids interpreting unique phenomena as mere outcomes of external mechanical settings.