Mad families of vector subspaces and the smallest nonmeager set of reals
We show that a parametrized $\diamondsuit $ principle, corresponding to the uniformity of the meager ideal, implies that the minimum cardinality of an infinite maximal almost disjoint family of block subspaces in a countable vector space is $\aleph _1$. Consequently, this cardinal invariant is $\aleph _1$ in the Miller model. This verifies a conjecture of the author from his previous article Madness in vector spaces (J. Symbolic Logic, 2019).