Monotonicity as a High-Level Principle of Grammar

Graf, Thomas

Abstract Monotonicity is a staple of semantics, but has occasionally also made an appearance in other domains (cf. Fox & Pesetsky 2005). In this talk, I argue that this is just the tip of the iceberg, and that monotonicity plays a central role in morphology and syntax as a third factor that arises from learnability considerations. The approach posits underlying hierarchies, for instance positive < comparative < superlative for adjectival gradation, which are mapped into some other algebra, e.g. surface forms or degrees of acceptability. Requiring these maps to be monotonic rules out a large number of possible configurations. This provides a unified perspective on a surprising number of phenomena: *ABA effects in morphology, the Person Case Constraint, the Ban Against Improper Movement, the Ban Against Improper Case, the Ban Against Excorporation, the Adjunct Island Constraint and the Coordinate Structure Constraint, their exceptions in the form of parasitic gaps and across-the-board movement, freezing effects, 3/4 splits in typology (e.g. with expletive negation), the absence of anti-omnivorous number, and much more. Crucially, monotonicity does not supplant existing analyses of these phenomena, it supplements them. Monotonicity is the high-level principle that ties the phenomena together, whereas existing analyses hash out how this abstract principle is operationalized in terms of the grammatical machinery.

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@misc{Graf21Leipzigtalk,
    author = {Graf, Thomas},
    title = {Monotonicity as a High-Level Principle of Grammar},
    year = {2021},
    note = {Invited talk, July 16, Department of Linguistics, University of Leipzig, Leipzig, Germany},
}

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