Note 13 at Php 1:10: The New International Version translates this phrase as "you may be able to discern what is best." Paul was saying that increasing our understanding (see note 11 at Php 1:9) and application (see note 12 at Php 1:9) of God's love will cause us to have better discernment about right and wrong (see note 10 at Eph 3:18).

Note 14 at Php 1:10: All of the things listed in Php 1:10-11 are the results of having our love abound through knowledge and judgment (Php 1:9). We receive the love of God through faith at salvation. We then increase our experience of God's love through knowledge and judgment. This leads to better discernment of what's right and wrong (see note 13 at this verse), and produces sincerity (pureness) that results in us walking without offense. If these things are working in us, then the fruits of righteousness follow, causing glory and praise to God (Php 1:11).