A Common Confession

Equivalence Classes

Romans 10:9-10 NIV

If you declare with your mouth, "Jesus is Lord," and believe in your heart that God raised him from the dead, you will be saved.  For it is with your heart that you believe and are justified, and it is with your mouth that you profess your faith and are saved.

Philippians 2:9-11 NIV

Therefore God exalted him to the highest place and gave him the name that is above every name, that at the name of Jesus every knee should bow, in heaven and on earth and under the earth, and every tongue acknowledge that Jesus Christ is Lord, to the glory of God the Father.

A partition of sets is a separation of every element from a universal set into a collection of pairwise disjoint sets.  If a valid partition is created, then one can create from that partition an equivalence relation on the universal set.  Two objects will be equivalence if they fall in the same subset of the partition.  God has partitioned people into two sets:  the redeemed and the unredeemed.  But, regardless of classification, ALL will someday confess that Jesus is Lord.