Inter-connectedness

 

So this could be abstract or in some ways more concrete.


The two simplest examples of inter-connectedness might be 

the area of a square and the way one moment follows the next.  

In the case of moments, it would be a very jarring experience 

if one moment was not followed by another.  


In the case of the area of a square, if you divide a square into

four parts, and you know the area, and you know the length

of one part you can determine the length of the other.  This

sort of extends itself into the fundamental theorem of algebra.


At the end of the day, we can find many example of how, things

that might not appear to be connected at first, do in fact have

sometimes " mysterious " connections and sometimes these

connections are a lot more obvious.  It might be natural then

to assume that " everything " is connected, but un-fortunately

that is a bit difficult to claim because it's hard to put

your finger on, what exactly " everything " might be.  When

we think of numbers, which generally have a great amount

of utility, we just don't find " gaps ", like 1,2,3 and no four.

but 5 shows up just fine.


It is of course extremely intriguing when we throw some

appropriate concept of mind into all that. For one thing,

it seems kind of evident that it is mind that discerns these

connections.  In fact, as we ponder this situation we might

ask if the connections are really there as a result of the

behavior of mind or mind simply discerns it.  Very difficult

to unravel that thought.   But when we think about how

people inter-connect with each other, it can be pretty easily

related back to behaviors which are " mind " like.


So, in conclusion, I will simply end this without trying to connect it

all together with a statement of Noether's Theorem from google:


Noether's theorem or Noether's first theorem states that 

every differentiable symmetry of the action of a physical system

 with conservative forces has a corresponding conservation law. 

The theorem was proven by mathematician Emmy Noether 

in 1915 and published in 1918.


And also from google:

A differentiable symmetry is a symmetry of the functional that does not change the action. S[φ′]−S[φ]=0. It is a differential symmetry because when this expression is interpreted as an action on the lagrange density L it does so by a differentiation.

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