count-your-change is right.
Here are the definitions of assume form Merriam-Webster; particularly #5. It does not contain your definition.
http://www.merriam-webster.com/dictionary/assume
a : to take up or in : receive b : to take into partnership, employment, or use
2 a : to take to or upon oneself : undertake *assume responsibility* b : put on, don c : to place oneself in *assume a position*
3: seize, usurp *assume control*
4: to pretend to have or be : feign *assumed an air of confidence in spite of her dismay*
5: to take as granted or true : suppose *I assume he’ll be there*
6: to take over (the debts of another) as one’s own
Perhaps (5) Still, we don’t take for granted that Mary did not have other children just so, we believe the witness of the Church.
However, I don’t argue over words. Whatever it is you think we are doing, it is a belief based on our belief in the historical witness of the Church, the same belief that we have in the scripture as a historical document produced by the Church.