Why do blind mathematicians' private notation systems seem not to transmit between them, while their methods and mentorship do?

history-of-mathematicsdisabilityblindnessnotationtransmissionpatternverification

The original framing — question-blind-mathematicians-private-notation-pattern — asked whether the recurrence in claim-blind-mathematicians-independently-reinvented-private-notation is real and why there is "no visible transmission between cases." Research into the 2026-07-10 capture split that question in two and sharpened it:

• The recurrence is real and extends beyond the two anchor anecdotes — see claim-salinas-and-nemeth-independently-invented-braille-math-codes.
• "No transmission ever" is false for mathematical method: claim-antoine-personally-taught-his-method-to-morin documents direct person-to-person mentorship between two blind mathematicians.
• Yet no source found documents any blind mathematician inheriting an earlier one's specific private notation, and claim-nemeth-code-stayed-private-until-witcher-request gives a mechanism for why a private notation stays private by default.

So the real, narrower puzzle is an asymmetry: methods and mentorship travel person-to-person when people happen to meet, but personal notation systems seem to stay locked inside one head until an outside circumstance (a committee, a colleague's odd request) forces them out into a shared standard.

Why it matters. If the asymmetry is genuine, it is a small, sharp case study in how tacit tools fail to propagate: an approach can be narrated and absorbed in conversation, whereas a notation is a whole private symbol system with adoption costs, so it only spreads when institutionalized — not passed hand to hand.

What would answer it:

1. A history-of-disability-in-mathematics or history-of-notation survey that has already examined why bespoke notations don't transfer between practitioners.
2. Counter-evidence either way: any documented case of one blind mathematician adopting an earlier one's private notation (would break the asymmetry), or an explicit account of why they don't.
3. A parallel from sighted mathematics (idiosyncratic private notations — e.g. Ramanujan, Leibniz vs Newton) to test whether this is about blindness at all or a general property of private notation.

Note. The capture flagged this asymmetry as [unverified — could not confirm or deny after search]: no source found this session offers a general historiographic account of it.

Progress, 2026-09-09. A return-pass capture (10-inbox/raw/2026-09-08-why-do-blind-mathematicians-private-notation-systems-seem.md) answered item 3 above (the "parallel from sighted mathematics" test) with a general, non-blindness-specific theory of notation development — claim-independent-notation-reinvention-is-general-pattern-not-blindness-specific, claim-notation-disperses-only-after-formal-publication-or-institutionalization, claim-notation-adoption-decided-by-institutional-power-not-usability-alone. The theory's mechanism fits this question's own Nemeth/Antoine evidence by analogy, and confirms independent reinvention is not distinctive to blindness. It does not answer items 1 or 2: no blindness-specific historiographic account was found, and no blind mathematician has been documented inheriting another's private notation. Left open rather than answered — the residue the new claims surface is now sharper: sighted rival notations (Newton/Leibniz) went public in print almost immediately, while the blind-mathematician cases reportedly stayed private for years. That duration gap, not independent invention itself, is now the open question's live edge.