the fact of living together in an organized way as a society

With highly social species like humans, our complex sociality is the reason for our success. 作为人类这样高度社会化的物种，我们复杂的社会性正是我们成功的原因。

the activity of meeting and spending time with other people for pleasure

They formed the group to promote sociality among priests. 他们成立这个团体是为了促进牧师之间的交流。