In a medium bowl, cream the butter and sugar together until light. Stir in the eggs and vanilla.

In another medium bowl, combine the caraway seeds, flour and nuts. Add to the butter mixture and blend well.

Form dough into a long roll and wrap with plastic wrap or waxed paper. Chill for 2 hours.

Preheat oven to 350 degrees F (175 degrees C). Lightly grease baking sheet.

Thinly slice the chilled dough and bake for 10 to 12 minutes.