John Chrysostom

And how saith Luke, that "he ended all temptation." To me it seems that in mentioning the chief of the temptations, he had spoken of all, as though the rest too were included in these. For the things that form the substance of innumerable evils are these: to be a slave to the belly, to do anything for vainglory, to be in subjection to the madness of riches. …

Homily on the Gospel of Matthew 13 ↗

Jerome

I will give you all these things if you fall down and worship me. Even in this boasting, the arrogant and proud one speaks: not because he has power over the whole world or can give all the kingdoms, since we know that many holy men have been made kings by God. If you fall down, he says, and worship me. Therefore, whoever is going to worship the devil, falls before him.

Commentary on Matthew ↗

Gregory the Dialogist

"All these things I will give you, if you fall down and worship me." By the same means by which the ancient enemy overthrew the first man through avarice—for he tempted him through the advancement of avarice when he said: Knowing good and evil—by those same means he was overcome when he tempted the second man. But by the same means by which he boasted of having conquered the first man, he is conquered by the second man, so that he might depart from our hearts, captured at the very entrance by which he had entered and held us.

Forty Gospel Homilies, Homily 16 ↗

Thomas Aquinas

And he said to him: "All these I will give you..." In those words he does two things: he promises one thing and seeks to obtain another. In the promise is a lie, and in the seeking is pride. In the first two temptations the devil was exploring whether he was the Son of God; now, believing that he had discovered he was not, he says All these I will give you... …

Commentary on Matthew ↗