Preheat your oven to 425°F (220°C).
In a large bowl, combine flour and salt for the crust. Cut in butter until mixture resembles coarse crumbs. Gradually add ice water, tossing with a fork until dough forms a ball.
Divide dough in half. Shape each into a disk; wrap in plastic. Refrigerate 1 hour or overnight.
On a lightly floured surface, roll out one portion of dough to fit a 9-in. pie plate. Transfer dough to pie plate. Trim even with edge. Add filling.
For filling, in a large bowl, toss apples with lemon juice. Combine sugars, flour, cinnamon, and nutmeg; add to apples and toss to coat. Pour into crust; dot with butter.
Roll out remaining dough to fit top of pie; place over filling. Trim, seal, and flute edges. Cut slits in dough. Bake 45-50 minutes or until crust is golden brown and filling is bubbly. Cool on a wire rack.