Preheat oven to 350 degrees. Grease and flour an 8" square cake pan. Peel, core and chop the apples, and set aside. In a large bowl, cream butter and sugar until light and fluffy. Beat in the eggs and syrup. Sift flour, ginger and cinnamon, and fold into creamed mixture with the apples. Pour mixture into prepared pan, and bake for 40-45 minutes, or until cooked. Cake may be cut into slices, or left uncut and decorated with whipped cream and sprinkled with cinnamon.