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2025-10-07 18:47:51 UTC
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Morgan Arnold on Nostr: nprofile1q…qz6t6 that's just terminology that i've heard. by the (-1)-truncation of ...

that's just terminology that i've heard. by the (-1)-truncation of type i mean the type
\[
\sum_{T:\text{Type}}\prod_{x,y:T}(x=_{T}y)
\]

set is then the 0-truncation, and so on. referring to type above is a bit weird to me, since i'm used to thinking about a hierarchy of universes, but based on jon's earlier posts it seems like he's imagining \(\mathcal{U}_{i} \hookrightarrow_{\text{el}_{i}} \text{Type}\), or something similar? again, i'm not super well-equipped to understand a lot of what i'm reading here