sup R = ∞

inf R = -∞

is something ive never considered even though its really easy to understand.

much easier description to then what my mental model was

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nostr:npub1w7zvr7zkkaztcpznfd46xx42nf2vkxftqnlm2nlwnrk4f454fpjs4due4q tangentially related: the sup and inf of the empty set are counterintuitive at first glance. See the pic which comes from nostr:npub1srhg4hk63ew68kepu0znazgf9tdl089dkur5artp440htxqrc8zsqz8g90 ‘s pinned post about how Javascript makes more sense than people think