That’s the beauty of math. It can’t produce illogical results.
Logical and consistent with reality are 2 fundamentally different things.
Math, like logic, is only as good as the premises.
If you start with garbage you often get garbage.
Also, I would say math can produce illogical results.
Consider the series:
S1=1+2+3+4+...
What does this add up to?
According to some math, it is -1/12.
Does that seem logical?
You have a sum of positive numbers, equally a tiny negative number.
What about sets?
If you have 2 sets, with a 1:1 mapping, they are the same size.
If you have 2 sets with a 1:2 mapping, the second set (the one with the 2) is twice as large.
Consider the set of integers greater than 0 (P), and the set of integers excluding 0 (I).
There exists a quite simple 1:2 mapping between them
For every element in set P (p), there exists 2 elements in set I (i1 and i2):
i1=p
i2=-p.
That means I must be twice as large as P.
But there exists a 1:1 mapping as well:
i=(-1)^p*(p+0.5-0.5*(-1)^p)/2
So they are the same size.
So you have 2 sets, which are the same size, yet one is twice as large as the other.
That sure doesn't seem logical.
I think that is part of the weakness of FE. It has so many unknown factors that it is impossible to prove. Or even substantiate.
No, the big issue is that the evidence goes against it.
Again, some nice simple math exists, for example, calculating the height of the sun using the angle of elevation of the sun at the equinox from the equator and 5000 km north or south of the equator result in the sun being 5000 km above Earth.
And apparently you forgot to add the "s" to law. It is Gauss' laws. Not law.
Nope. There is one known as Guass' law.
The net electric flux through any hypothetical closed surface is equal to 1/ε times the net electric charge within that closed surface
He almost exclusively studied the effects of Electromagnetism. If you are referring to gravity that is sort of a moot point.
There are then extensions of this law to other fields, including gravity.
I'll shoot you an article specifically using one of Gauss's laws in a FE scenario.
http://www.academia.edu/11774821/An_exercise_on_Gauss_law_for_gravitation_The_Flat_Earth_model
Which is quite similar to what JD already linked.
All I can see is a way to derail the subject of math and the FET. I'm not going to turn this into a argument over the proof of one law. Gauss' law of gravitation does not prove a FE period.
So?
When was that ever the challenge?
Notice it what it was:
If someone can present me with some math fact regarding FE. I will become a believer today!
Gauss' law for gravity on a FE is a math fact regarding FE.