Whether Christ should have committed His doctrine to writing?

Objections

Objection 1 : It would seem that Christ should have committed His doctrine to writing. For the purpose of writing is to hand down doctrine to posterity. Now Christ's doctrine was destined to endure for ever, according to Lk. 21:33: "Heaven and earth shall pass away, but My words shall not pass away." Therefore it seems that Christ should have committed His doctrine to writing.
Objection 2 : Further, the Old Law was a foreshadowing of Christ, according to Heb. 10:1: "The Law has [Vulg.: 'having'] a shadow of the good things to come." Now the Old Law was put into writing by God, according to Ex. 24:12: "I will give thee" two "tables of stone and the law, and the commandments which I have written." Therefore it seems that Christ also should have put His doctrine into writing.
Objection 3 : Further, to Christ, who came to enlighten them that sit in darkness (Lk. 1:79), it belonged to remove occasions of error, and to open out the road to faith. Now He would have done this by putting His teaching into writing: for Augustine says (De Consensu Evang. i) that "some there are who wonder why our Lord wrote nothing, so that we have to believe what others have written about Him. Especially do those pagans ask this question who dare not blame or blaspheme Christ, and who ascribe to Him most excellent, but merely human, wisdom. These say that the disciples made out the Master to be more than He really was when they said that He was the Son of God and the Word of God, by whom all things were made." And farther on he adds: "It seems as though they were prepared to believe whatever He might have written of Himself, but not what others at their discretion published about Him." Therefore it seems that Christ should have Himself committed His doctrine to writing.