Whether Christ's birth should have been made known to all?

Objections

Objection 1 : It would seem that Christ's birth should have been made known to all. Because fulfilment should correspond to promise. Now, the promise of Christ's coming is thus expressed (Ps. 49:3): "God shall come manifestly. But He came by His birth in the flesh." Therefore it seems that His birth should have been made known to the whole world.
Objection 2 : Further, it is written (1 Tim. 1:15): "Christ came into this world to save sinners." But this is not effected save in as far as the grace of Christ is made known to them; according to Titus 2:11,12: "The grace of God our Saviour hath appeared to all men, instructing us, that denying ungodliness and worldly desires, we should live soberly, and justly, and godly in this world." Therefore it seems that Christ's birth should have been made known to all.
Objection 3 : Further, God is most especially inclined to mercy; according to Ps. 144:9: "His tender mercies are over all His works." But in His second coming, when He will "judge justices" (Ps. 70:3), He will come before the eyes of all; according to Mt. 24:27: "As lightning cometh out of the east, and appeareth even into the west, so shall also the coming of the Son of Man be." Much more, therefore, should His first coming, when He was born into the world according to the flesh, have been made known to all.