OTOH if you've reached a point where you are ready to accept both 'A' and 'not A', you need to go back and re-examine your premises/assumptions (sort of a real life example of reductio ad absurdum). Related example: accepting 'the left is delusional and corrupt' and 'the right is delusional and corrupt' leads one to re-examine the validity and usefulness of this whole left-right spectrum of political thought.