{"schema":"vela.problem-packet.v0.1","problem":120,"statement":"Let $A\\subseteq\\mathbb{R}$ be an infinite set. Must there be a set $E\\subset \\mathbb{R}$ of positive measure which does not contain any set of the shape $aA+b$ for some $a,b\\in\\mathbb{R}$ and $a\\neq 0$?","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}