“…that your faith should not be in the wisdom of men but in the power of God…” 1 Corinthians 2:5.
There is a lot of logic to our faith. Even scientists confirm existence of God. However, faith should not only rest in our minds, but it must also rest in our hearts. It has to be accepted sincerely with repentance and conversion experience. A mere logical agreement that Jesus is God is not enough. We must turn our hearts to God with all of our minds, hearts and everything that is in us. That is well beyond intellectual yes to the message of salvation.
See also: Bible verses about faith