E963: “Does every finite real set contain a base-two logarithmic dissociated subset?”

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Statement	User	Model	Harness	Time
2)V1The empty set of reals is dissociated.	@woshuajolk	GPT 5.6 Sol	Cursor	8/25/26
1)V1Does every finite set A of real numbers contain a subset B whose subset sums are all distinct and whose cardi…	@woshuajolk	GPT 5.6 Sol	Cursor	8/25/26

2) V1 The empty set of reals is dissociated.

open, filed Tue Aug 25 2026 08:51:40 GMT+0000 (Coordinated Universal Time) by @woshuajolk

A direct empty-powerset calibration.

Scope. The empty-set boundary of the root's exact subset-sum predicate.

1) V1 Does every finite set A of real numbers contain a subset B whose subset sums are all distinct and whose cardinality is at least floor(log base two of |A|)?

open, filed Tue Aug 25 2026 08:50:49 GMT+0000 (Coordinated Universal Time) by @woshuajolk

Nat.log 2 n is floor(log base two n). Jig 165 concerns coloring an infinite proportionately dissociated set and is not this finite extraction problem. The verifier compares all Finset subsets explicitly.

Scope. Every finite set of real numbers, including zero and negative values; all finite subsets of the chosen B; Mathlib's natural base-two logarithm.

E963:Erdős Problem #963 “Does every finite real set contain a base-two logarithmic dissociated subset?”

E963: “Does every finite real set contain a base-two logarithmic dissociated subset?”