2 problems

Let $k_1,\ldots,k_n$ be elementary embeddings in $\mathcal{E}_{\lambda}$ such that $\mathcal{A}_{k_1,\ldots,k_n}$ is free, and let $\ell,p\in\mathcal{A}_{k_1,\ldots,k_n}$. The pull…

Infinite-family conjecture. If $T$ does not have the Schröder–Bernstein property, then there is an infinite collection of models of $T$ that are pairwise nonisomorphic and pairwise…