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Empirical Issues in Syntax and Semantics 9 (EISS 9 ... - CSSP - CNRS

Empirical Issues in Syntax and Semantics 9 (EISS 9 ... - CSSP - CNRS

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met ′ (m, j)<br />

Mary: m λy.met ′ (y, j)<br />

met: λx.λy.met ′ (y,x)<br />

John: j<br />

Figure 1: Syntactic selection <strong>and</strong> semantic composition <strong>in</strong> vanilla lambda-calculus<br />

every ′ (λx.dog ′ (x), λy.sleep ′ (y))<br />

λQ.every ′ (λx.dog ′ (x),Q)<br />

λy.sleep ′ (y)<br />

λP.λQ.every ′ (P,Q)<br />

λx.dog ′ (x)<br />

Figure 2: It’s syntactic selection <strong>and</strong> functional application all the way down<br />

f (a)<br />

λx. f (x)<br />

(a) Compositionality<br />

<strong>in</strong> selectional<br />

syntax<br />

languages<br />

a<br />

P(...x 1 ...)∧Q(...x 1 ...)<br />

P(...)<br />

Q(...)<br />

(b) Compositionality<br />

<strong>in</strong> direct syntax<br />

languages<br />

Figure 3: An <strong>in</strong>formal comparison of the ‘basic’ modes of composition <strong>in</strong> selectional <strong>and</strong><br />

direct syntax languages<br />

195

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