Jesus' "love your neighbour as yourself" law and Calculus integration.

The relationship between Lord Jesus' double law "Love eternal God and Love thy neighbour" and Calculus' integration. 

Take-home lessons: 

• To get to the higher dimensions of life, we must love one another. 

• To love one another you each must love your neighbour as yourself. 

• You must treat your neighbour as you want others to treat you. 

• You must change your view of your self, to accomodate the others as they accomodate you, and not simply just view yourself as by your self and next to other people. 

By accomodate i mean, to tolerate, to accept, to get along with, to work with, to help, to be helped by, to share the world with. 

The infinitesimal unit is an individual. 

In geometry and in calculus, this is easily visualized.

A number  is a summation of many "ones."

In geometry a number is a line. 

A line is a summation of lots of (1/infinity big) dots in sequence. 

Each dot has two neighbours on either side along the line.

Each dot must necessarily be the same as the other dot, except in its dimensionally relevant position. 

Just as the number say "the number 10" is lots of ones (one + one + one + one + one + one + one + one + one + one.)

the one must equal one. 1 = 1 

while (ten minus nine) appears larger than  (five minus four), they both must necessarily be equal. 

If the individual dots of a single line are not equally 1/infinity, then it is not a line that we are looking at.  

So when we love our neighbours, we (each) must love (each of ) them as ourselves.

If we compare ourselves to a greater whole, then we have done something else (integration).  but to be in the line of life, if all humans are individuals, then we must treat each person as we ourselves are treated by another and would like to be treated if the neighbour was in our position. 

Jesus Christ is an individual human born in 1BC 25th December. 

when we look at Jesus , we each of us understands that he is unique. regardless of how someone might portrait him or even masquerade as him. We each understand that He is He, and no one else can be mistaken for him. It is like two identical twins, they are still two unique individuals. 

Because Lord Jesus is the Alpha and Omega , when we look at Jesus he is one individual human.

But when we look at Lord Jesus the word of God, we see the invisible God of Israel that created the world.  

When God spoke in Exodus 20, the people of Israel within 40 days had to make a golden cow because they felt lost and to worship they wanted a focal point to conduct their worship. 

They couldn't correctly identify God. 

So Lord Jesus we can correctly identify him as one unique individual, and through him when we look, we see the whole of Israel's history right through the holy bible's world-history, through Abraham and Sarah, and the redemption of creation. 

Looking at Integration of a two-dimensional surface. 

You might think the curvy surface underneath a parabola breaks this concept of 1=1 equality but it  agrees. 

A surface is comprised of many lines.

Consider the parabola y = x^2 ; The area under the red curve, between the Green values of Y is comprised of many different-sized green lines.   But the different green lines are organized , one next to each other according to the x-axis.  So in calculus the range of integration is the neighbourhood within which the individual segments are organized as a whole.

While in 2D space, each line has two values: a x-axis width and a y-axis length. The Y is the green lengths you see. the X width of a line is 1/infinity. So from the bottom X-axis, the width looks like alpha and omega.
In order to find that 2-dimensional "area"  of many lines, where each line is next to each other (in the same neighbourhood) but each line has a randomized value, then we use a function to approximate what those values are y(x) = x^2 is that (one dimensional) function, and in integration we add up the sum of all the tiny little individual lines between two range-point lines. (between two points of x in the function y(x).  )

For integration to make any coherent sense, we need the coherency of a neighbourhood and each individual inside that neighbourhood is similar in one respect (x-axis), regardless of its value in other respects (y-axis or z-axis , etc).

That is why when Jesus gave his parable of the sheep and the goats, where we are judged based on if we treated anyone  as we would treat Jesus. 

The man asked Lord Jesus the king "when did i see you to feed you?"

Lord  Jesus said " The king replied in as much as you did it to one of these least of men, you did it to me also."

Consider a sphere. 

We can work out from the 2-dimensional surface of a sphere, it's inner spheroid's solid 3-dimensional volume. 

From the central dot of the sphere's inside, radiates lots of 3-dimensional columns with a length of Radius. 

But consider, if the radius columns are oblongs, 

(surface of sphere  / (1/infinity * 1/infinity) )*( (1/infinity * 1/infinity * Radius)) = surface of sphere * Radius = volume

then the columns would 'intersect with each other.
If you did use an oblong column as Radius with a very thin 1/infinity thickness to touch each 1/infinity spot on the surface, to spread out from the center. And integrated (added together) all those squarish oblong threads, it would be larger than a sphere's inside volume. 

So, the columns, are rather calculated as circular cones, so that the intersection is minimal. 

((surface of sphere / (1/infinity *1/infinity * pi) )*  (1/3 * 1/infinity * 1/infinity * pi * Radius)  = (surface of sphere * Radius) / 3

If you look at tessellating circles meeting circles on the 2-dimensional plane, then there is a gap at the four corners, or rather between 3 circles pressed together, there is a gap. 

That gap is important in other areas i would guess such as the famous Banach-Tarski problem on Youtube.com , 

but when we use a circular 1/infinity wide cone with height = Radius, then we can add all the infinitesimal cones starting at the sphere's surface, and arrive at the integrated volume of the sphere. 

Ideally, and rightly so, the circle smooshes into the gap so that the thread looks like a Sri-lanka shaped column. 

Here we see, then that the uniformity of each column in one respects or another, is vital for the accurate harmonious collations of 1-dimensional threads within a 3-dimensional sphere, in order to work out the volume. 

Or rather. if we as people don't treat others as ourselves, when we love them and being with them, then we infringe on their space, and their value not being diminished nor your own, will impinge on the 'integrity' of the corporate body. 

If there is simply no escape, then the victim of your selfish focused life,  and ignoring the feelings of the victim, will ruin the victim's shape.

That is why Jesus added to "love your neighbour"  the important clause "as yourselves."

Let's turn a circle into a hemisphere.  

let's not.