Two major factors allow the disc to fly -- aerodynamic lift and angular momentum.
Aerodynamic lift is the same principle that allows airplanes to fly. Like the airplane
wing, the frisbee's shape creates a low pressure area above it, and a high pressure pocket
below. Since everything moves towards low pressure, the frisbee moves upwards.
The frisbee wouldn't fly, however, if it wasn't spinning. Momentum is conserved, and since
the spinning disk has angular momentum, it will resist changes in its orientation; i.e. it
won't flip over.
Answered by: Aman Ahuja, Physics student, WPI, Mass.
'To myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.'