Shame might be defined as "the painful feeling arising from the consciousness of something dishonorable, improper, or ridiculous done by oneself or another." Shame is often meant to bring forth pain which may ultimately result in change. However, God's wisdom is often hid from those who pride themselves in the strength of their knowledge.
Often, Christian apologetics will not include any other evidence then that of the Holy Spirit working to confound the wisdom of this world in those hostile to the Gospel. Often, it is not our job to debate or refute, but to allow God to reverse what the supposed wise of this world have erroneously believed. Arguments may work to a point, but then God through His Spirit must bring a person to their senses.