A)
x^2=x, then dividing both sides by x gives
x^2/x=x/x,
then x^2/x=x and x/x=1…
so x=1, but if x has a value of zero 0, then 0=1.
But it isn’t good form at all to simply state that x had a value of zero, when we worked with x having some value.
B)
Infinity from Nothing
I've seen some people use the arguement...
1/∞=0
Then
1/0=∞?
... but this is fallicious.
But we are strenuously told that 0/1 is obsolete… so we could say that 1/∞ is also obsolete, because normally two functions like:
4/4=1
Then
4/1=4
Work, but the above does not when considering the variables of 1/0.
C)
Zero Has A Value for 0=1
-1/1=1/-1
then
√-1/1=√1/-1
√-1√1=√1√-1
i/1=1/i
so that i/2=1/2i and
i/2 – 1/2i = 0
If we swap the equation around, so that 0= i/2 – 1/2i is like saying:
0 = (+1)+(-1)
Then the value of zero might as well become the value (+1)+(-1). Then the value zero actually has some kind of value. This is the only way to tackle how something could possibly come from nothing, simply by stating that nothing was actually something.
D)
Any finite number raised to the zeroeth power is one, such as x^0=1. Zero however is not a finite number so this rule can't be applied as 0^0. To see why you can use natural logarithms abbreviated ln.
If y=ln(x).
Then exp(y)=x or e^y=x.
Now take the any number x not that is not equal to zero.
x can be positive or negative
Then consider the equation z=y^x.
Take the ln of both sides to get ln(z)=xln(y)
Now if x=0 then ln(z) is also zero totally regardless of the value of y, except for y=0, because the ln(0) is not defined.
If ln(z)=0 then z must have the value 1. That is ln(1)=0
..............................
Besides all of these equations, I am leaning towards example C) to explain how something comes from nothing. The answer was plain and simple. Nothing has an actual value of something.
So, when people ponder about how something comes from nothing, we must remember that it cannot be done logically, even with the simplest of algebra. Instead, we should start considering that if 0=1 anywhere in our equations, then it must be assumed that 0 has some kind of value.
x^2=x, then dividing both sides by x gives
x^2/x=x/x,
then x^2/x=x and x/x=1…
so x=1, but if x has a value of zero 0, then 0=1.
But it isn’t good form at all to simply state that x had a value of zero, when we worked with x having some value.
B)
Infinity from Nothing
I've seen some people use the arguement...
1/∞=0
Then
1/0=∞?
... but this is fallicious.
But we are strenuously told that 0/1 is obsolete… so we could say that 1/∞ is also obsolete, because normally two functions like:
4/4=1
Then
4/1=4
Work, but the above does not when considering the variables of 1/0.
C)
Zero Has A Value for 0=1
-1/1=1/-1
then
√-1/1=√1/-1
√-1√1=√1√-1
i/1=1/i
so that i/2=1/2i and
i/2 – 1/2i = 0
If we swap the equation around, so that 0= i/2 – 1/2i is like saying:
0 = (+1)+(-1)
Then the value of zero might as well become the value (+1)+(-1). Then the value zero actually has some kind of value. This is the only way to tackle how something could possibly come from nothing, simply by stating that nothing was actually something.
D)
Any finite number raised to the zeroeth power is one, such as x^0=1. Zero however is not a finite number so this rule can't be applied as 0^0. To see why you can use natural logarithms abbreviated ln.
If y=ln(x).
Then exp(y)=x or e^y=x.
Now take the any number x not that is not equal to zero.
x can be positive or negative
Then consider the equation z=y^x.
Take the ln of both sides to get ln(z)=xln(y)
Now if x=0 then ln(z) is also zero totally regardless of the value of y, except for y=0, because the ln(0) is not defined.
If ln(z)=0 then z must have the value 1. That is ln(1)=0
..............................
Besides all of these equations, I am leaning towards example C) to explain how something comes from nothing. The answer was plain and simple. Nothing has an actual value of something.
So, when people ponder about how something comes from nothing, we must remember that it cannot be done logically, even with the simplest of algebra. Instead, we should start considering that if 0=1 anywhere in our equations, then it must be assumed that 0 has some kind of value.