Adam Clarke on 1 Corinthians 2:12

Now we have received, not the spirit of the world - We, who are the genuine apostles of Christ, have received this Spirit of God, by which we know the deep things of God; and, through the teaching of that Spirit, we preach Christ crucified. We have not therefore received the spirit of the world - of the Jewish teachers, who are all looking for a worldly kingdom and a worldly Messiah, and interpret all the scriptures of the Old Testament which relate to Him in a carnal and worldly sense.

That we might know the things - We receive this teaching that we may know what those supereminently excellent things are which God has purposed freely to give to mankind. It is evident that, as the apostle means by princes of the world the rulers of the Jews, 1Cor 2:6-8, so by spirit of the world he here means Jewish wisdom, or their carnal mode of interpreting the sacred oracles, and their carnal expectation of a worldly kingdom under the Messiah.