General results about restrictions on measurements from inside are app
lied to quantum mechanics. They imply subjective decoherence: For an a
pparatus it is not possible to determine whether the joint system cons
isting of itself and the observed system is in a statistical state wit
h or without interference terms; it is possible that the apparatus sys
tematically mistakes the real pure state of the joint system for the d
ecohered state. We discuss the relevance of subjective decoherence for
quantum measurements and for the problem of Wigner's friend.