Abstract: 

In this talk, I discuss how the study of Ramsey structures and generalized indiscernibles allows us to define new versions of well-known model-theoretic tree properties. Focusing attention on the colored linear order as an index structure, I prove that the so-called colored tree property gives a characterization of stability in terms of positive formulas, while colored versions of TP1 and TP2 give equivalent versions of TP1 and the Independence Property, respectively.

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