Whether to believe is to think with assent?

Objections

Objection 1 : It would seem that to believe is not to think with assent. Because the Latin word "cogitatio" [thought] implies a research, for "cogitare" [to think] seems to be equivalent to "coagitare," i.e. "to discuss together." Now Damascene says (De Fide Orth. iv) that faith is "an assent without research." Therefore thinking has no place in the act of faith.
Objection 2 : Further, faith resides in the reason, as we shall show further on (Question [4], Article [2]). Now to think is an act of the cogitative power, which belongs to the sensitive faculty, as stated in the FP, Question [78], Article [4]. Therefore thought has nothing to do with faith.
Objection 3 : Further, to believe is an act of the intellect, since its object is truth. But assent seems to be an act not of the intellect, but of the will, even as consent is, as stated above (FS, Question [15], Article [1], ad 3). Therefore to believe is not to think with assent.