Minn. Stat. § 257.55
Subd. 1. Presumption.
A man is presumed to be the biological father of a child if:
(b) before the child's birth, he and the child's biological mother have attempted to marry each other by a marriage solemnized in apparent compliance with law, although the attempted marriage is or could be declared void, voidable, or otherwise invalid, and:
(c) after the child's birth, he and the child's biological mother have married, or attempted to marry, each other by a marriage solemnized in apparent compliance with law, although the attempted marriage is or could be declared void, voidable, or otherwise invalid, and:
Subd. 2. Rebuttal.
A presumption under this section may be rebutted in an appropriate action only by clear and convincing evidence. If two or more presumptions arise which conflict with each other, the presumption which on the facts is founded on the weightier considerations of policy and logic controls. The presumption is rebutted by a court decree establishing paternity of the child by another man.