Question 27678: Outside-Scope Inputs Are Not General Strong-Law Counterexamples

Original question and givens

Use mode=nonfinite_support, complete model={"support_kind":"continuous","moment_status":"integrable"}. Give (mode, support_kind, moment_status, this_finite_valued_theorem_applicable, scope).

• G001 — Use mode=nonfinite_support, complete model={"support_kind":"continuous","moment_status":"integrable"}. Give (mode, support_kind, moment_status, this_finite_valued_theorem_applicable, scope).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-strong-law-large-numbers-finite-valued-iid

Step-by-step derivation

source roles = [slln-scope-boundary]

derived = [[mode, support_kind, moment_status, this_finite_valued_theorem_applicable, scope]]

source roles = [continuous, integrable]

derived = [No]

Reverse checks

• S002 · premise_and_result_audit — Reverse-check original data,operands,complete scope and premises;finite witnesses,conditional theorem use and formal proof remain distinct.
• S001 · premise_and_result_audit — Reverse-check original data,operands,complete scope and premises;finite witnesses,conditional theorem use and formal proof remain distinct.

Result

(nonfinite_support, continuous, integrable, No, outside_finite_valued_scope_not_a_counterexample_to_general_SLLN)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.