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2 results

  • RESULTS ON COLORED TREE PROPERTIES

  • Part of
  • GABRIEL DAY
  • Journal:
    The Journal of Symbolic Logic , First View
    Published online by Cambridge University Press:
    16 October 2026, pp. 1-25
    • Article
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  • In this article, we introduce novel variations on several well-known model-theoretic tree properties (TPs), and prove several equivalences to known properties. Motivated by the study of generalized indiscernibles, we introduce the notion of the $\mathcal {I}$-tree property ($ \mathcal {I}$-TP), for an arbitrary Ramsey index structure $\mathcal {I}$. We focus attention on the colored linear order index structure c, showing that c-TP is equivalent to instability. After introducing c-$\text {TP}_1$ and c-$ \text {TP}_2$, we prove that c-$ \text {TP}_1$ is equivalent to $\text {TP}_1$, and that c-$ \text {TP}_2$ is equivalent to IP. We see that these three TPs give a dichotomy theorem, just as with TP, $\text {TP}_1$, and $\text {TP}_2$. Along the way, we observe that appropriately generalized tree index structures $\mathcal {I}^{<\omega }$ are Ramsey, allowing for the use of generalized tree indiscernibles.

  • Chapter 16 - The Placement of Finite Verbs

  • from Part III - Syntax
  • Edited by Michael T. Putnam, Pennsylvania State University, B. Richard Page, Pennsylvania State University
  • Book:
    The Cambridge Handbook of Germanic Linguistics
    Published online:
    31 March 2020
    Print publication:
    16 April 2020, pp 365-388

  • Summary

    The chapter gives an overview of the possible positions of finite verbs across the Germanic languages. These possibilities are shown to depend on three independent choices related to three different parts of the clause, CP, TP, and VP:

    1. (1) If the language is a verb second (V2) language, the finite verb in every main clause moves to C°.

    2. (2) If the language has V°-to-T° movement, the finite verb in every clause moves to T° (but if the clause is a V2 clause, then the finite verb will move on from T° to C°).

    3. (3) Finally, depending on whether a language is verb-object (VO) or object-verb (OV), the finite verb in every clause will occur either preceding or following all other elements inside VP, e.g., objects, other complements, adverbials (provided the verb has not undergone movement to T° or to C°).