Geurts 2010 — Quantity Implicatures [Geu10]

The textbook successor to [GP09]. Geurts 2010 (Cambridge UP) consolidates the Standard-Recipe / competence-based neo-Gricean account whose §8 sketch in GP 2009 this file extends. The core empirical pattern anchoring the textbook's Ch. 2–3 — scalar implicatures blocked in downward-entailing contexts but available in upward-entailing ones — is the explanandum of GP 2009's four-experiment program; the [PLLF16] LU model derives the correct pattern (see Studies/PottsEtAl2016).

Connection to GP 2009

gp2009_data_anchors_pattern shows the GP 2009 ∅-condition data (93%/94% endorsement of the some→not all inference) is the quantitative grounding for the textbook's UE-pattern claim.

theorem Geurts2010.gp2009_data_anchors_pattern : GeurtsPouscoulous2009.lookupRate GeurtsPouscoulous2009.exp1aResults GeurtsPouscoulous2009.EmbeddingType.simple = 93 ∧ GeurtsPouscoulous2009.lookupRate GeurtsPouscoulous2009.exp1bResults GeurtsPouscoulous2009.EmbeddingType.simple = 94

The GP 2009 ∅-condition (unembedded some) endorsement rates anchor the textbook's UE-pattern claim quantitatively: 93% (Exp 1a, n=30) and 94% (Exp 1b, n=31) endorse the some→not all inference.