Definition:Minimally Closed Class/Linguistic Note
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Linguistic Note on Minimally Closed Class
The term minimally closed class was invented by $\mathsf{Pr} \infty \mathsf{fWiki}$ in accordance with the concept of a minimally inductive class.
As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.
Both minimally closed class and minimally inductive class are discussed in Set Theory and the Continuum Problem, revised ed. by Raymond M. Smullyan and Melvin Fitting of $2010$.
While the minimally closed class is suggested as a generalisation of the minimally inductive class in an optional section backed up with an exercise, it is not actually named there as such.
The name was coined in order to provide a convenient tag, as a description is unwieldy.