The Independence Problem: Hidden Common Causes
The Independence Problem: Hidden Common Causes
System notes
Each nogo pattern must arise from truly independent causes — no shared conference, textbook, teacher, or language — to count as genuine convergence rather than hidden common cause.
Shannon and Wiener's similar work on entropy and feedback in 1948 reflects direct contact through the Macy Conferences, not independent convergence.
W. Ross Ashby's 1948 Homeostat was built after reading Wiener's drafts, making it a dependent rather than independent discovery.
Von Neumann's self-replicator drew on McCulloch and Pitts, who presented at the Macy Conferences Wiener attended; this is a cluster with shared hub, not independent convergence.
Charles Darwin's natural selection (1859), George Price's covariance equation (1970s), and Richard Dawkins's gene-centered view (1976) represent genuinely independent arrivals at the same biological pattern without shared conferences, journals, or teachers.
Poincaré's three-body problem (1890s), Lorenz's deterministic nonperiodic flow (1963), and Feigenbaum's universality in maps (1975) found deterministic chaos without shared conferences, letters, or teachers.
Fermat, Lagrange, Hamilton, and Feynman all used the calculus of variations; the shared mathematical tool reduces independence from HIGH to MODERATE because it is a hidden common cause, though the specific results were emergent.
A single discovered link — one conference, letter, or teacher — changes the label from independent convergence to shared-cause, collapsing the entire edge of the nogo graph.
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