1. A Rabbinical Seminary in which young men studied Talmud under the guidance of learned Rabbis. The Yeshiva was a prominent part of European Jewish life, and was attended by many religous teenagers until they would need to work.
2. A post-high school institution in which only Jewish studies, such as Talmud, are learned. This is in contrast with religious high schools that teach both Jewish and secular subjects. However, some Jewish high schools are also called Yeshivot.
After high school, Josh spent two years in an Israeli Yeshiva.
Moshe, rather than attend university, chose to stay in Yeshiva and become a rabbi.