Norberto Salinas and Abraham Nemeth each independently invented a personal braille mathematics notation in the mid-20th century, extending the blind-mathematician pattern to more cases and countries

Two 20th-century blind mathematicians, on different continents, each built a personal braille code for mathematical symbols without inheriting one from the other. Norberto Salinas (blind from age ten, raised in 1950s Argentina) "developed his own version of a Braille code for mathematical symbols" and in the 1960s helped design the standard code for Spanish Braille mathematics. Abraham Nemeth (United States) developed the Nemeth Code in the 1940s; it became the standard US braille code for mathematical symbols. Neither system descended from the other, and neither descended from the earlier improvisations of claim-saunderson-palpable-arithmetic-tactile-calculating-device (touch, 1711) or claim-pontryagin-worked-blind-via-mothers-spoken-symbol-glosses (speech, 1950s–60s).

These two cases carry the observation in claim-blind-mathematicians-independently-reinvented-private-notation past its two anchor anecdotes into a fourth and fifth documented instance, a new country (Argentina), and the same recurring shape: a private, ad hoc, individually invented notation rather than a shared or transmitted method. Unlike the earlier cases, both mid-century systems were later institutionalized into standard codes — Salinas's into Spanish Braille mathematics, Nemeth's into the Nemeth Code that the US still runs in parallel with Unified English Braille (claim-bana-2012-ueb-adoption-kept-nemeth-code-parallel).

The mechanism by which one of these private codes crossed from a single head into a shared standard is documented separately for Nemeth: claim-nemeth-code-stayed-private-until-witcher-request.