Whether all are bound to receive Baptism?

Objections

Objection 1 : It seems that not all are bound to receive Baptism. For Christ did not narrow man's road to salvation. But before Christ's coming men could be saved without Baptism: therefore also after Christ's coming.
Objection 2 : Further, Baptism seems to have been instituted principally as a remedy for original sin. Now, since a man who is baptized is without original sin, it seems that he cannot transmit it to his children. Therefore it seems that the children of those who have been baptized, should not themselves be baptized.
Objection 3 : Further, Baptism is given in order that a man may, through grace, be cleansed from sin. But those who are sanctified in the womb, obtain this without Baptism. Therefore they are not bound to receive Baptism.