God’s Perfect Math

The God of the Holy Bible is truly awesome.  In some ways He is beyond human grasp.  “For as the heavens are higher than the earth, so are my ways higher than your ways, and my thoughts than your thoughts.” Isa. 55:9.
 
Infinite is He! “Great is our Lord,… His understanding is infinite.”  Psm. 147:5.

Let’s show the distinction between infinity, which is a number too big to count, and ordinary numbers.   Countable numbers work in arithmetic.  For example, a very large number like one trillion, when multiplied by the number three becoming three billion, in the same way as all counting numbers.  Division works the same way. 

Infinity by contrast is a number that can’t be counted!   And so infinity can’t behave like counting numbers.   Infinity is here represented by  Infinity.  Mathematicians have shown that half of  Infinity is still too big to count, so Infinity/2  is still Infinity.  In fact we can divide or multiply Infinity by any countable number and we still have Infinity.  This is like His view of time:  “…one day is with the Lord as a thousand years, and a thousand years as one day.” II Pet. 3:8.  He knows in detail an Infinity of intervals in any interval.

Addition and subtraction with Infinity show other oddities.  Add to or subtract from Infinity any countable number, and we still have Infinity.  This is surely similar to our creator-savior Jesus.  He is unchanging (Mal. 3:6), and none can add to Him, nor can any diminish Him.

If we think of the true Infinity of love in God, and we divide it by 7 billion, the number of people on Earth; then the result is still Infinity, meaning His love is still Infinity for each person.  So God’s Infinity love is not dimished when shared with us individually. Praise God for that.

To try to get a pale reflection of the Lord’s nature, first consider that the counting numbers, positive and negative plus zero total to an Infinity, called aleph-zero, Aleph zero by Georg Cantor, the master theorist of infinity.  He showed that the next larger distinct kind of Infinity includes all the decimal numbers between the counting numbers, which he called aleph-one, Aleph one.  aleph-one is also the number of points in any 2D area, since a line can be drawn completely filling any rectanlge, a line called Giuseppe peanos-curvePeano’s curve.  Such lines can completely fill any 2D area, 3D solid, or any space with a limited number of higher dimensions.  Since God is almighty (Gen. 17:1, Ezek. 10:5, Rev. 19:15) and all knowing; : “…God is greater than our heart, and knoweth all things.” I John 3:20,  He knows the location of every particle and wave in the aleph-one of points of all space, at all times.  A minor reflection of this is the fact that He calls all the stars by name (Psm. 147-4) all 100,000 billion, billion of them!  The galaxy below has only about 100 billion stars.

Even more remarkably God is not limited to spatial dimensions.  “…the heaven and heavens cannot contain Him.” II Chron. 2:6 & I Kings 8:27.   He operates inside and outside of an Infinity of dimensions with infinite power, wisdom and perfect knowledge.  Even in this we see only a miniscule part of His true nature.  Jesus is truly a being of a totally different order — type.

m51Yet He who is beyond infinite, desires communion with us, and by His supernatural revelation, through His Holy Scriptures and by His Infinity Holy Spirit, He empowers communion, freely giving us the “Infinity mind of Christ,” even though that Infinity mind moves through a limited human mind.  Thank you Lord.