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Speculative Symbols

enumeratio edited this page Sep 29, 2026 · 1 revision

Design: which names are ours, and which are Wolfram's

Speculative design. Open, not settled — thinking and proposals, not shipped behavior. See Roadmap for what's in flight.

Split from Symbols: §5 Open.

Open

  • Numeral systems as domains. The systems are already values rather than heads — IntegerDigits(n, Zeckendorf) — which is the Wolfram model and needs no collapsing. The open idea is larger: represent numerals as polynomial-like domains, so a numeral is an object with structure rather than a digit list, and the systems become mappable onto the other structures they secretly are (factoradic is the Lehmer code; the combinatorial system is subset unranking).
  • modular is the least normalised package — 34 heads, heavily prefixed (Form*, Modular*), several of them (FormRho, LinkingWithTrefoil, WordSymbol) named for the implementation rather than the mathematics. No Wolfram counterpart to align against, which is precisely why it drifted.

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