Euodias was a fellow laborer of Paul for the cause of the gospel of Jesus Christ from Philippi. She was beseeched of Paul to be of the same mind as Syntyche which indicates that there might have been some disagreement between Euodias and Syntyche. Same mind here would mean that these Christians are not to be in discord but in one accord (Acts 1:14), but it could also be extrapolated to reflect the “mind” of Christ that Paul counsels the entire church at Philippi to emulate.

What can we learn from Euodias and Syntyche?
Despite the fact that we may be fellow laborers for the cause of the gospel of Jesus Christ, there is always the potential that we may not see eye to eye with other fellow laborers. There is always a chance for disagreement, which can lead to discord, which is what the enemy (satan) wants.

We must be of the same mind with God putting on the mind of Christ. Paul counsels that the mind of Christ be in us (Philippians 2:5) This is the mind that makes one of no reputation just as Christ Jesus made himself of no reputation, leaving his rights of deity and came to earth, for the sake of redeeming mankind by shedding his blood, through which there is remission of sins.

We must be of the same mind with other fellow believers. In humility we must esteem others better than ourselves, looking into the interests of others, over our very own (Philippians 2:3,4). This way, there is little to no chance of being in discord with others fellow laborers.

Philippians 4:2-3 (KJV)
2 I beseech Euodias, and beseech Syntyche, that they be of the same mind in the Lord.
3 And I intreat thee also, true yokefellow, help those women which laboured with me in the gospel, with Clement also, and with other my fellowlabourers, whose names are in the book of life.

Philippians 2: 3, 5-8 (KJV)
3 Let nothing be done through strife or vainglory; but in lowliness of mind let each esteem other better than themselves.
4 Look not every man on his own things, but every man also on the things of others.
5 Let this mind be in you, which was also in Christ Jesus:
6 Who, being in the form of God, thought it not robbery to be equal with God:
7 But made himself of no reputation, and took upon him the form of a servant, and was made in the likeness of men:
8 And being found in fashion as a man, he humbled himself, and became obedient unto death, even the death of the cross.