sessionCount
plain-language theorem explainer
The declaration fixes the per-rung session count at eight to realize the eight-tick octave structure inside the 45-hour mastery rung. Pedagogy researchers and learning-schedule optimizers cite the constant when converting total rung time into distributed sessions that match empirical spacing data. It is supplied as a direct natural-number constant with no further computation.
Claim. The number of sessions per rung is defined to be $8$.
background
The module deepens the 45-hour per-rung mastery threshold by distributing those hours into an 8-tick pattern. Session count therefore equals eight, per-session length equals 45/8 hours, and the spacing ratio between consecutive sessions is required to lie near the golden ratio. This arrangement is presented as the Recognition-Science-native realization of distributed practice that outperforms massed practice.
proof idea
The definition is a direct constant assignment of the natural number 8.
why it matters
The constant supplies the session_count field of the PedagogyOptimalCert structure and is used to prove both per_session_eq and total_eq_session_times_count. It instantiates the eight-tick octave (T7) of the forcing chain, where the period-2^3 structure governs rung acquisition and forces the optimal spacing ratio to lie inside the phi band. The module thereby closes the gap between the gap-45 mastery threshold and the empirical SuperMemo/Anki spacing literature.
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