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Is it consistent with $\sf ZFC$ that$\sf ZFC + \text{ countable models of } ZFC \text { exist}$, that every countable model of $\sf ZFC$ is a subset of some parameter free definable pointwise-definable model of $\sf ZFC$?
Is it consistent with $\sf ZFC$ that every countable model of $\sf ZFC$ is a subset of some parameter free definable pointwise-definable model of $\sf ZFC$?
Is it consistent with $\sf ZFC + \text{ countable models of } ZFC \text { exist}$, that every countable model of $\sf ZFC$ is a subset of some parameter free definable pointwise-definable model of $\sf ZFC$?
Is every countable model of ZFC a subset of some parameter free definable pointwise-definable model of ZFC?
Is it consistent with $\sf ZFC$ that every countable model of $\sf ZFC$ is a subset of some parameter free definable pointwise-definable model of $\sf ZFC$?
