In a small mixing bowl, mix flour, baking soda, salt, cinnamon and nutmeg; set aside. In a large mixing bowl, mix butter and sugar until creamy, then add egg, vanilla and eggnog; mix well. When liquid mixture is combined, add the flour mixture and stir until well blended.
Roll dough to 1/8-inch thickness on lightly floured surface. Cut with cookie cutter. Place 2 inches apart on ungreased cookie sheet. Or roll dough into balls and slightly press on to an ungreased cookie sheet. Bake approximately 8-12 minutes (depending on thickness) or until golden brown on the edges.