Claim
Paper: canonical at Paper 4 § 2.5 (v5.1); invoked at Paper 1 § 2 (v11.3), Paper 2 § 2.3 (v8.2), Paper 3 § 9 (v9.1)
Authoritative claim file: validation/claims/cantor-cumulative-caveat.md
Cantor's power-set theorem is invoked at four progressively more ontologically-loaded sites across the paper series. Advise whether each site is: (1) a direct application, (2) formalizable under additional structure, (3) an analogy, or (4) a category error.
What this issue asks for
A 3–5 hour engagement from a set theorist, mathematical logician, or philosopher of mathematics, ideally covering all four sites; partial responses (one or two sites) welcome and credited.
The four sites (with paraphrased S):
| Site |
S |
| Paper 1 § 2 |
A domain's generative field |
| Paper 2 § 2.3 |
Analytical frames of a knowledge-producing system |
| Paper 3 § 9 |
Formations within a cultural production regime |
| Paper 4 § 2.5 |
The unmarked state prior to any distinction |
See CONTRIBUTING.md § 1 for acceptance criteria.
Domain(s)
- Set theory / formal logic (primary)
- Philosophy of mathematics
Status
Open; awaiting set theorist or foundations specialist.
Why it matters
This is the paper series' most load-bearing hedge. The cumulative caveat weakens across the four papers — by Paper 4 it is at the paper's most foundational level. A clear verdict on each site would allow the papers either to drop defensive hedging (if categories 1–2) or to substantively rewrite (if category 4).
Claim
Paper: canonical at Paper 4 § 2.5 (v5.1); invoked at Paper 1 § 2 (v11.3), Paper 2 § 2.3 (v8.2), Paper 3 § 9 (v9.1)
Authoritative claim file:
validation/claims/cantor-cumulative-caveat.mdCantor's power-set theorem is invoked at four progressively more ontologically-loaded sites across the paper series. Advise whether each site is: (1) a direct application, (2) formalizable under additional structure, (3) an analogy, or (4) a category error.
What this issue asks for
A 3–5 hour engagement from a set theorist, mathematical logician, or philosopher of mathematics, ideally covering all four sites; partial responses (one or two sites) welcome and credited.
The four sites (with paraphrased
S):SSee
CONTRIBUTING.md§ 1 for acceptance criteria.Domain(s)
Status
Open; awaiting set theorist or foundations specialist.
Why it matters
This is the paper series' most load-bearing hedge. The cumulative caveat weakens across the four papers — by Paper 4 it is at the paper's most foundational level. A clear verdict on each site would allow the papers either to drop defensive hedging (if categories 1–2) or to substantively rewrite (if category 4).