Origen

“ But, also, in the same way, a will which was more irrational, because of its neglect of reason, sometimes turns and becomes rational, so that that which at one time was a dog, loving to eat of the crumbs that fell from the table of its masters, comes into the condition of a son. For virtue contributes greatly to the making of one a son of God, but wickedness, and mad fury in wanton discourses and shamelessness, contribute to the giving of a man the name of dog according to the word of the Scripture. ”

“ Only, he who is reproached as a dog and yet is not indignant at being called unworthy of the bread of children and with all forbearance repeats the saying of that Canaanitish woman, “Yea, Lord, for even the little dogs eat of the crumbs which fall from their masters’ [27] table,” will obtain the very gentle answer of Jesus saying to him, “Great is thy faith,”—when he has received so great faith—and saying, “Be it done unto thee even as thou wilt,” [28] so that he himself may be healed, and if he has produced any fruit which stands in need of healing, that this, too, may be cured. ”

“ The Canaanitish woman, therefore, because of her race was not worthy even to receive an answer from Jesus, who acknowledged that He had not been sent by the Father for any other thing than to the lost sheep of the house of Israel, [10] —a lost race of souls possessed of clear vision; but, because of her resolution and of having worshipped Jesus as Son of God, she obtains an answer, which reproaches her with baseness of birth and exhibits the measure of her worthiness, namely, that she was worthy of crumbs as the little dogs, but not of the loaves. ”