It’s because the name column on the bar table does not have the UNIQUE constraint.
So imagine you have 2 rows on the bar table that contain the name ‘ams’ and you insert a row on baz with ‘ams’ on bar_fk, which row on bar would it be referring since there are two rows matching?
In postgresql all foreign keys must reference a unique key in the parent table, so in your bar table you must have a unique (name) index.
See also http://www.postgresql.org/docs/9.1/static/ddl-constraints.html#DDL-CONSTRAINTS-FK and specifically:
Finally, we should mention that a foreign key must reference columns
that either are a primary key or form a unique constraint.
Emphasis mine.