God's Zero Tolerance for Error

Numeral Integration and Error Bounds

Philippians 3:1--9 NKJV

Finally, my brethren, rejoice in the Lord. For me to write the same things to you is not tedious, but for you it is safe.  Beware of dogs, beware of evil workers, beware of the mutilation!  For we are the circumcision, who worship God in the Spirit, rejoice in Christ Jesus, and have no confidence in the flesh, though I also might have confidence in the flesh.

If anyone else thinks he may have confidence in the flesh, I more so:  circumcised the eighth day, of the stock of Israel, of the tribe of Benjamin, a Hebrew of the Hebrews; concerning the law, a Pharisee; concerning zeal, persecuting the church; concerning the righteousness which is in the law, blameless. But what things were gain to me, these I have counted loss for Christ. Yet indeed I also count all things loss for the excellence of the knowledge of Christ Jesus my Lord, for whom I have suffered the loss of all things, and count them as rubbish, that I may gain Christ and be found in Him, not having my own righteousness, which is from the law, but that which is through faith in Christ, the righteousness which is from God by faith;

Analytically finding the area between a curve and the horizontal axis is a primary topic in integral calculus. We learn that some curves are resistant to exact method of computation, so geometric estimation techniques are required. In every estimation problem, it is insufficient to find an estimate without also knowing theoretically how close the estimate is to the quantity we wish to estimate---this is finding an upper bound on the error. We deal with relations that look something like this:

|Desired Quantity - Estimate| £ Error bound.

In most applied situations we can allow for a small error; if we're off by 0.00001, that might be okay.

There is an equivalent error analysis when we compare our attempts to meet God's law and the perfection demanded by God's holiness. Here, God requires zero tolerance for error in order to be accepted into His kingdom. So the relation looks like this:

|Standard of God's Law - Our imperfect actions| £ 0.

We are unable to meet this zero error bound, so on our own we cannot be accepted into the kingdom. However, Christ exchanged places with us---He put his perfect self in our place in comparison to God's Law and took our punishment of death. This makes us able to satisfy the zero tolerance for error.