Peel, core, and chop the apples.

In a large bowl, combine the chopped apples, sugar, nuts, and melted butter.

Stir in the beaten eggs and vanilla extract.

In a separate bowl, sift together the all-purpose flour, baking soda, cinnamon, allspice, cardamon, and salt.

Add the dry ingredients to the apple mixture and stir until just blended.

Preheat oven to 350°F (175°C).

Grease two 8-inch square cake pans.

Divide the batter evenly between the prepared pans.

Bake for 45 to 50 minutes, or until a toothpick inserted into the center comes out clean.

Cool completely before serving. Alternatively, bake in a 9x13-inch dish for 50 to 60 minutes.