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We answer a question raised by Pillay, that is whether the infinite weight ofthe generic type of the free group is witnessed in $F_{\omega}$. We also provethat the set of primitive elements in finite rank free groups is not uniformlydefinable. As a corollary, we observe that the generic type over the empty setis not isolated. Finally, we show that uncountable free groups are not$\aleph_1$-homogeneous.

On the Generic Type of the Free Group