Ask Tory Belechi: http://youtu.be/erme2xWIHps Myth Confirmed!
Ask Tory Belechi: http://youtu.be/erme2xWIHps Myth Confirmed!
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[23:47] <kesha> PENNSATUCKY PLEASE CURE ME OF THESE UNCLEAN THOUGHTS
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Why are some infinities "greater" than others? I've searched it up but I was pretty lost on the explanation.
Fighting for real American turtles everywhere. Pro-Turtle since 6/30/13
What does that even mean
Oh wait, I think I get it
You mean there are more real numbers than natural numbers, yet there is still an infinite amount of each
That's a little bit confusing because we're using the term "infinite" for two different purposes: types and quantity
There are more types of real numbers than there are natural numbers
But each has an infinite quantity of values
Last edited by Gelatino95; 6th June 2012 at 4:53 PM.
Infinity is imaginary number.. you can't physically get that number any objects.. One little "explanation" is: Think of the biggest number you can think of, Then add 1. Then repeat.
j/k: It's soo big that 8's fainted: ∞
It's a difficult Concept that people who've got Math and Physics qualifications have trouble with it. (I do have them, by the way.) But here's a not so easy explanation of it: http://en.wikipedia.org/wiki/Infinity
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Meaning there are more types of real numbers than natural numbers, but that doesn't necessarily mean that there is a greater quantity of real number values than natural number values
Because there is an infinite quantity of values for each set, they should be considered the same (only for the purposes of convenience; because infinity is not a value, it cannot be considered equal to anything)
By type, I mean the kind of numbers that can be classified as real or natural
If I remember correctly, something like square root of 3 would be considered real but not natural
That means there are more types of numbers that can be considered real than natural
However, that has nothing to do with quantity of values that can be considered real or natural
There is an infinite quantity of values that can be considered real and there is an infinite quantity of numbers that can be considered natural, and therefore one cannot be greater than the other
Square root of 3 is real but not natural
Therefore irrational numbers like that are a kind of number that can be considered real but not natural
The point is that more numbers can be considered real than imaginary, but because each has an infinite quantity of values, neither can be considered greater than the other
Ludwig, they both have an infinite amount of elements. Therefore, they have the same amount of elements. Difficult? I think not.
Last edited by Aegon; 6th June 2012 at 7:30 PM.
Is meatloaf more meat or more loaf?
Fighting for real American turtles everywhere. Pro-Turtle since 6/30/13