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Is Vopěnka's principle inherited by Grothendieck topoi?

I call the Vopěnka's principle: Every subfunctor of an accessible functor is accessible but other formulations (which may lose equivalence in weak contexts?) are also interesting to me. If this is ...
Arshak Aivazian's user avatar
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'Maximising interpretative power entails maximising consistency strength'?

I'm hoping there is a clear mathematical answer to this question (hence asking it here) rather than anything more exegetical (in which case it's presumably not appropriate for this site). In his paper ...
aidangallagher4's user avatar