As John Duns Scotus says in his De primo principio, God is infinite with respect to his understanding and to his perfection. The article explains these metaphysical theses, reconstructs the arguments given by Scotus for these theses and examines their validity. It turns out that the arguments are mostly formally correct but use often non-trivial premises. According to Scotus, God is in spite of his infinity an ens ordinatum with respect to the ordo eminentiae. God belongs to this order. This is an important difference to Cantor’s Absolutum.