Optimality Theory Kager_241022_231808

Exploration of Optimality Theory (OT) in the domain of syntax.
OT is not exclusive to phonology; it applies to grammar in general, emphasizing hierarchically ranked constraints that languages minimally violate.
This chapter extends OT to syntax, focusing on Grimshaw's (1997) analysis of English auxiliaries.
Discussion points:
- Syntactic counterparts of previously seen constraints.
- OT architecture connecting faithfulness and well-formedness constraints.
- Nature of syntactic input and the function of Gen.
- Development of a factorial typology of core syntactic constraints.

Comparison between Minimalist syntactic theory and OT-based syntax.
In Minimalist theory (Chomsky, 1981b), parameters shape grammatical differences, offering binary options while maintaining universality.
In OT, typologies are derived from reranking universal violable constraints rather than setting parameters.
- Example: A language lacking a grammatical effect may have a 'negative value of parameter' in Minimalism or a 'crucially dominated' constraint in OT.
Difference: In OT, dominated constraints may still affect language behavior; parameters, once switched off, do not.

The principle of economy from Minimalist theory parallels OT's "do only when necessary" principle.
Both frameworks aim for minimally necessary structures and movements to maintain well-formedness, with deviations occurring only when forced by higher-ranking constraints.
OT allows for soft evaluations while Minimalism tends to treat economy more rigidly.

Key Principles:
- Universality: Constraints are universal yet violable, aiming for minimal violation.
- Strict Domination: Hierarchical ranking of constraints.
- Freedom of Analysis: Gen determines input structure while adhering to linguistic principles.
- Harmony: Outputs are optimized for minimal violations of higher constraints.

Syntactic inputs defined as lexical heads and their argument structures, devoid of syntactic projections.
The input encompasses a lexical head, argument assignment, and some tense-auxiliary specifications.
- Example: "What did Mary say?" as defined by the input of its lexical components.
Containment Principle: Competing analyses must be semantic equivalents of the same lexical material.

Gen generates possible analyses within the X′ theory framework, ensuring proper projection and respect for minimal structure requirements.
Extended projections consist of a lexical head with its projections and functional heads.
Examples: Candidate analyses for questions derived from the basic input structure.

Eval evaluates candidate outputs based on universal and violable constraints.
Example constraint: Op-Spec enforces that syntactic operators be positioned in specifier locations.

Declarative sentences do not permit subject-auxiliary inversion, while interrogatives necessitate it.
Economy principles dictate movement only when necessary to satisfy constraint requirements like Op-Spec and Ob-Hd.
Generalization: Subject-auxiliary inversion occurs only with Wh-movement, necessitating auxiliary heads in projections.

Do-support appears in interrogatives when necessary, filling gaps left by missing auxiliary verbs.
General rule: "Do-support is possible only when it is necessary."
The principle of economy underlies the distribution of do-support across syntactic forms.

OT serves as a grammatical theory applied to syntactic phenomena, encompassing interactions like Wh-movement and do-support.
Economy and necessity govern the occurrence of syntactic structures and transformations in accordance with well-formedness constraints.

Minimalist Syntax:
- Chomsky, Noam (1993, 1995) – A minimalist program for linguistic theory.
- Radford, Andrew (1997) – Syntax: a minimalist introduction.
OT Syntax:
- Ackema and Neeleman (forthcoming) – Optimal questions.
- Grimshaw, Jane (1997) – Projection, heads, and optimality.