Using standing mixer, cream together sugar and butter.
Mix in eggs, one at a time.
Add flour, baking soda and vanilla (or lemon extract) and continuing mixing until dough forms.
Roll dough into ball and cover with plastic wrap.
Refrigerate at least 3 hours. Or overnight.
When ready to bake, preheat oven to 350.
Prepare cookie sheets by greasing or lining with Silpats or parchment sheets.
Divide chilled dough into 2-4 smaller pieces and roll out one at a time using enough flour so dough won't stick (but not too much).
Roll to desired thickness. Maybe 1/8" ... these cookies with rise up and become thicker with baking.
Cut dough with cookie cutter and place onto prepared cookie sheets.
Repeat process, incorporating
Bake each sheet of cookies for 11 minutes. Don't let the bottoms brown.
Remove from oven and cool for 5 minutes, then move cookies to cooling racks.