Aron Hirsch mini-course: Oct 30-Nov 9

Aron Hirsch (SSHRC postdoctoral fellow at McGill this year), will be giving a “mini-course” about his research on the syntax-semantics of “cross-categorial” operators, in five lectures stretching from October 30-November 9. See below for a course description and schedule. No advanced background in syntax or semantics is required. Mark your calendars, everyone is welcome to attend!
Cross-categorial operators
“Cross-categorial” operators — notably, the conjunction and and focus operator only — appear in a broad range of environments. And occurs, for instance, between full clauses in (1a) and DPs in (1b). Likewise, only occurs pre-vP in (2a) and pre-DP in (2b).
(1) a. John saw every student and Mary saw every professor.
b. John saw every student and every professor.
(2) a. John only learned oneF language.
b. John learned only oneF language.
Given their broad distribution, these operators seem to require a flexible semantics. In (1a), and operates on truth-values, like the & connective of propositional logic: (1a) is true iff both conjoined clauses are true. Yet, in (1b), and seems to have a different meaning which composes with quantifiers. A range of semantic mechanisms have been proposed to achieve the necessary flexibility (e.g. Keenan & Faltz 1978, 1985,
Gazdar 1980, Partee & Rooth 1983, Jacobson 1999, 2015). One approach draws on type-shifting rules: and is stored in the lexicon as &, but type-shifted to compose with quantifiers in (1b). Only receives a similar analysis, through type-shifting (Rooth 1985).
The aim in this mini-course is to challenge the idea that these operators have a flexible semantics, pursuing instead the Semantic Inflexibility Hypothesis (‘SIH’). Under the SIH, and always operates on truthvalues (following Schein 2017), and only again patterns in kind. The viability of the SIH for data like (1b)
and (2b) depends on covert syntax: the underlying structure must be richer than it appears from the surface string so that it includes a truth-value denoting scope site for the operator. The course will build a case the SIH. First: we will see that semantic flexibility approaches have overgeneration problems, providing initial motivation for the SIH. Second: we will diffuse some counterarguments to covert syntax with and from the prior literature (e.g. Partee 1970). And, third: we will provide a range of novel evidence that covert syntax is in fact present with both and and only in a fragment of data. The SIH, if successful, leads us to constrain the availability of type-shifting, and the expressive power of the semantic grammar more generally (cf. Heim 2015).
Class 1: The Semantic Inflexibility Hypothesis
October 30, Monday, 10:30-12:00 – Room 117
Class 2: Apparent DP conjunction
November 2, Thursday, 11:30-13:00 – LEACOCK 14
Class 3: November 3, Friday, 15:00-16:30 – Room 117
Apparent NP conjunction
Class 4: November 6, Monday, 10:30-12:00 – Room 117
Focus operators
Class 5: November 9, Thursday, 11:30-13:00 – LEACOCK 14
Consequences for the grammar

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