RE: What is ∞ + ∞ = ????
December 3, 2017 at 11:53 am
(This post was last modified: December 3, 2017 at 12:43 pm by KittyAnn.)
It's easy to say that infinity is just a symbol. But in fact it is very difficult to understand for every human being.
And the more you know about it, the less intuitive it seems....
We can imagine.... that there are different types of infinity. Some are bigger than others. The first one and at the same time the smallest infinity is a "countable" infinity. The point is that we can write it in the form of a list of numbers... example: 1,2,3,4,5,6 ... or 0, -1,1, -2,2, -3,3, .... What is interesting, the second string of numbers, also extending into infinity, is twice as large as the first. This is because in the second set we have all the numbers from the first string plus 0 and the negative values of all these numbers.
Well, now a curio.... There are also infinite-infinities, which can't be so nicely written down. The infinity of numbers between 0 and 1 is greater than the infinity of all natural numbers.
nah.., we don't even know how to start, because right after 0 we have to write a number: [0, (infinite number of zeros) 1] and right after it [0, (infinite number of zeros minus one) 1].. But it's not so easy, because if we subtract 1 from infinity, it still will be infinite!
So...now try to imagine the infinity of all possible points on the nimeric axis, since we can't even write a string of numbers from zero to one....
so ...∞ + ∞ = more than mathematics....maybe = philosophy?
And the more you know about it, the less intuitive it seems....
We can imagine.... that there are different types of infinity. Some are bigger than others. The first one and at the same time the smallest infinity is a "countable" infinity. The point is that we can write it in the form of a list of numbers... example: 1,2,3,4,5,6 ... or 0, -1,1, -2,2, -3,3, .... What is interesting, the second string of numbers, also extending into infinity, is twice as large as the first. This is because in the second set we have all the numbers from the first string plus 0 and the negative values of all these numbers.
Well, now a curio.... There are also infinite-infinities, which can't be so nicely written down. The infinity of numbers between 0 and 1 is greater than the infinity of all natural numbers.
nah.., we don't even know how to start, because right after 0 we have to write a number: [0, (infinite number of zeros) 1] and right after it [0, (infinite number of zeros minus one) 1].. But it's not so easy, because if we subtract 1 from infinity, it still will be infinite!
So...now try to imagine the infinity of all possible points on the nimeric axis, since we can't even write a string of numbers from zero to one....
so ...∞ + ∞ = more than mathematics....maybe = philosophy?
"Alone is what I have. Alone protects me."
“I may be on the side of the angels but don’t think for one second that I am one of them.”
“The important thing is not to stop questioning. Curiosity has its own reason for existence. One cannot help but be in awe when he contemplates the mysteries of eternity, of life, of the marvelous structure of reality. It is enough if one tries merely to comprehend a little of this mystery each day."
“I may be on the side of the angels but don’t think for one second that I am one of them.”
“The important thing is not to stop questioning. Curiosity has its own reason for existence. One cannot help but be in awe when he contemplates the mysteries of eternity, of life, of the marvelous structure of reality. It is enough if one tries merely to comprehend a little of this mystery each day."
