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Mar 7 at 21:53 comment added Emily @Elies Welcome to MathOverflow! I hope you enjoy using it and have a wonderful time here =)
Mar 7 at 18:15 comment added varkor When $\mathscr V = \mathrm{Set}$, admitting a $\mathscr V$-enriched presheaf category entails that the presheaf category is locally small (i.e. $\mathrm{Set}$-enriched), which is not the case for $[\mathrm{Set}^{\mathrm{op}}, \mathrm{Set}]$.
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