Whether a man can be saved without Baptism?

Objections

Objection 1 : It seems that no man can be saved without Baptism. For our Lord said (Jn. 3:5): "Unless a man be born again of water and the Holy Ghost, he cannot enter the kingdom of God." But those alone are saved who enter God's kingdom. Therefore none can be saved without Baptism, by which a man is born again of water and the Holy Ghost.
Objection 2 : Further, in the book De Eccl. Dogm. xli, it is written: "We believe that no catechumen, though he die in his good works, will have eternal life, except he suffer martyrdom, which contains all the sacramental virtue of Baptism." But if it were possible for anyone to be saved without Baptism, this would be the case specially with catechumens who are credited with good works, for they seem to have the "faith that worketh by charity" (Gal. 5:6). Therefore it seems that none can be saved without Baptism.
Objection 3 : Further, as stated above (Article [1]; Question [65], Article [4]), the sacrament of Baptism is necessary for salvation. Now that is necessary "without which something cannot be" (Metaph. v). Therefore it seems that none can obtain salvation without Baptism.