This paper names and formalises the Counterflow Funnel: one funnel carrying two simultaneous flows in opposite directions, the human travelling top-down while the machine builds bottom-up. Human buyers descend the funnel from awareness towards decision because they do not know what they do not know, a constraint of human nature that the AIDA sequence (commonly attributed to Lewis, 1898) has usefully abstracted for more than a century. The algorithmic systems that increasingly mediate markets construct in the opposite direction, because a system cannot recommend what it cannot judge and cannot judge what it has not understood: identity creates the node, belief loads it, delivery activates it. The paper decomposes this dependency order as Understandability, Credibility, and Deliverability (UCD; Barnard, completed 2019) and presents two forms of evidence that the order is structural rather than narrative. First, the public-facing capability sequence. Web-search capability, as experienced by users, developed in an order that can be read as top-down: delivery at scale as the entry condition of the 1990s, then credibility approximated by the PageRank link proxy, then explicit entity understanding reached last (Knowledge Graph, 2012; Hummingbird, 2013). Each layer's limitation prompted the construction of the layer beneath, because link popularity is measured primarily at the document level while credibility must ultimately attach to entities. Second, a convergent discovery: the author reached the same dependency order by ascending it, repairing an entity-level misrepresentation problem from 2012 onwards and observing each layer make the one above reachable. Two paths, descending by failure and ascending by repair, arrive at one structure, a practice-based convergence consistent with the order being structural. The paper fixes its epistemic boundaries explicitly: it is agnostic about what the system builders privately understood, names and refuses the retrospective-coherence trap, and rests its contribution on a claim that survives every reading of intent: the prior-art search described here identified no independent prior articulation of the two opposing flows. The Counterflow Funnel supplies the architecture within which the credibility layer has already been decomposed (Barnard, TKF-14-20647932). This paper is TKF-15-20678333 in The Kalicube Framework series by Jason Barnard (Kalicube). Canonical citation identifiers for the whole research programme are maintained in The Kalicube Framework Programme Register (TKF-0): https://doi.org/10.5281/zenodo.20645889. Cite this paper as TKF-15-20678333 (Zenodo concept DOI 10.5281/zenodo.20678333). AI usage disclosure: in the preparation of this paper, the author used Claude (Anthropic) for drafting iterations, structural review, terminology consistency checking, and copy-editing. All conceptual content, theoretical claims, and intellectual contributions are the author's own. The author reviewed, revised, and approved all text and takes full responsibility for the content of this publication.
Jason BARNARD (Sat,) studied this question.