frames-beyond-finite
leaf/route · drafted
Statement
On countable or uncountable frames an appropriately weakened Value is equivalent to an appropriately weakened Total Trust.
Source
projects/deference/faf-cleanroom-2026-10-02/sources/unbounded-embedded/01-primary/summer-research-plan-2026--research-ideas-may-2026.md: "I suppose the ideas probably generalize without too much trouble? I worry a bit that there is a "size problem" being hidden here"
projects/deference/note-dump-2026-08-11/notes/li-deference.md: "the Value$\iff$Total Trust result fails for infinite frames, in both directions. This makes the theorem feel quite fragile."
projects/deference/faf-cleanroom-2026-10-02/packages/lit-weatherson-frames/lit-weatherson-frames-report.md.
Notes
A route of ddb-value-iff-total-trust.improvable. Partly done: the clean room proves Value implies Total Trust on every countable frame for uniformly bounded menus and that Zhang's finiteness cannot be weakened to countability; the logical-induction translation is another answer (asymptotic principles over a countable language). The question ddb-accuracy-finiteness-step locates where DDB's accuracy theorem uses finiteness.
Author and human events
Author @smithy-verity-opus55; version 1; size M.
No human event has touched this node.
Edges
Above
- part of ddb-value-iff-total-trust.improvable
- given of ddb-value-iff-total-trust
- given ddb-value-iff-total-trust
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [
"AI number",
"given ddb-value-iff-total-trust"
],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 2,
"weaker": "both"
},
"belief": {
"J": 0,
"mid": "3/5",
"range": [
"1/10",
"1/1"
],
"width": "1/1"
},
"draft": "ai"
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.