He seems in his discourse to have had in view the additions that had been made to the law.

These he sets aside, but no part of the original law itself.
It has also been urged that by fulfilling, may be meant such an accomplishment of it as would imply the superseding of it when the purposes for which it was instituted should be answered.

To silence this explication it will be sufficient to produce a few out of many passages of the New Testament where the term fulfil occurs in connexion with the term law.

Thus Paul says, Gal.v.14, "All the law is fulfilled in one word, even in this, thou shalt love thy neighbour as thyself," and again.Rom.xiii.8, "He that loveth another, hath fulfilled the law." But certainly, notwithstanding this fulfilment of the moral law, it remains in as full force as ever.
The Apostles understood Jesus to mean as we have asserted.

For it is evident from the Acts, that the Christians at Jerusalem were zealous in attachment to the law of Moses; this is evident from their surprise at Peter's conduct with regard to Cornelius; and in the dispute about imposing circumcision upon the Gentiles; observe there was no dispute about its being obligatory upon Jews.
Paul was indeed vehemently accused of teaching a contrary doctrine, as we find in the history of the transactions respecting him in his last journey to Jerusalem.