Contradiction with 2 Corinthians 5:17
This verse states that anyone in Christ is a new creation and old things are passed away, which supports transformation rather than contradicts Philemon 1:11.
2 Corinthians 5:17: Therefore if any man [be] in Christ, [he is] a new creature: old things are passed away; behold, all things are become new. [he is: or, let him be]
Contradiction with Galatians 3:28
This verse emphasizes equality in Christ, contradicting any implications of social hierarchy implied in Philemon 1:11.
Galatians 3:28: There is neither Jew nor Greek, there is neither bond nor free, there is neither male nor female: for ye are all one in Christ Jesus.
Paradox #1
The contradiction or conflict in Philemon 1:11 could be that it deals with the issue of slavery. The verse is part of a letter where Paul sends back a runaway slave, Onesimus, to his master Philemon. Some people might see a conflict because while the verse highlights forgiveness and transformation, it also tacitly accepts the institution of slavery, which is at odds with modern views on human rights and equality.