Intellect is inadequate because not all things can be explained. Intellect needs faith.

Faith is impotent because it remains forever obscure. Faith needs intellect.

But they are opposites, as contradictory as yes and no:
Faith accepts; Intellect questions.
Faith surrenders; Intellect struggles.

Miraculously, there is a power that can join them in harmony, and it is called wisdom.

Wisdom is the capacity to see the truth as it is
and the quietness to allow it entry without compromise.

Va’erah 5721:4. Torat Menachem 5751 volume 2, pg. 349.