Premise:
"There followed the epoch of leg warmers and other mutations into the aerobics class look."
Hypothesis: The cooking class look involves leg warmers and similar items.

no

Premise:
"Impossible! "
Hypothesis: That isn't possible!

yes

Premise:
"Just west of CityHall is one of Dublin's most important historic sites, Dublin Castle."
Hypothesis: Dublin Castle is one of the most notable historical sites in all of Dublin.
yes