Whereas limits of visual processing are interesting in their own right, these limits take on a deeper meaning where vision integrates with other cognitive systems. It is at this point that limits within vision become limits that can affect the whole of cognition. I present evidence for one such case: an interface between vision, numerical cognition and the semantics of quantifier terms. The goal is to highlight a case where non-visual cognition (lexical meanings) interfaces with vision and visual limits (tracking multiple sets) constrain later cognition.