Truth can not contradict truth.
There can not be 2 truths.
There is one Truth, Himself.
"Central" gives a unity to the Body of Christ.   
That's why Christ said what he did from today's Gospel in daily Mass:  

"I will give you the keys to the Kingdom of heaven. 
Whatever you bind on earth shall be bound in heaven;
and whatever you loose on earth shall be loosed in heaven."