OpenFrontiers
← Back to the index
OP-8661Status unassessedLogic and foundations

Forcing Axioms · Question 05

From ℵ2 to infinity · Historical workshop question

Editorial mapping of AIMPL source category: Logic. http://aimpl.org/alephtwo/ Not an author-supplied MSC code.

Historical list · status unassessedAs of 2026-09-08Source & evidence ↓

Problem statement

  • Does Con(ZFC) imply Con(MM for posets of size ℵ1\aleph_1)?

  • Is there a stationary set preserving poset of size ℵ1\aleph_1 which is not semiproper?

Lean 4

Not yet attached

No Lean statement or proof is attached yet. Have a formalization? Share its source to add it to this problem.

Progress & source assessment

Historical workshop record. Current open/solved status has not been independently reassessed.

The source supplies no status note for this question.

References
  1. [1]From ℵ2 to infinity link

Recorded progress

Add yours →

Nothing recorded yet. A pointer to a paper the entry is missing counts.

Machine attempts

0 recorded

Attempts run against the statement below and are recorded in full, including the failures. The point is to stop the next model — and the next person — from re-walking a road that is already known to end. Each attempt costs 25 credits.

No machine attempts recorded.

Sign in to run an attempt. New accounts start with enough credits for ten.

Discussion

0 notes

Notes are for clarifying the statement, flagging a missing reference, or recording why an approach fails. Claimed solutions belong in a submission, where they can be reviewed.

No notes yet.

Sign in to add a note.