This paper focuses on the roots of a functional theory of predication, which is represented primarly by Frege and Russell. After a brief presentation of the theory of Frege, I concentrate on the philosophical motivation of this theory. The example of the influence of F. H. Bradley on Russell’s conception of the categorical judgements shows a common epistemological position of both authors, which I recognize also in Frege. The point of the article is to find common grounds in Kant noetics, especially in his conception of synthetic judgement. Replacement of the problematic Kant’s notion of transcendental schema by the functional application subsequently allowed flourishing of the theory. In conclusion, I outline potential problems associated with the challenge of philosophical assumptions on which this theory is based.