Crosswords1 min ago
how does "infinity" work?
40 Answers
There are an infinite number of whole numbers.
There are also an infinite number of even numbers.
But if the number of even numbers ...
... is only half of the number of whole numbers ...
Is the number of even numbers truly infinite?
(when there is another number twice as big).
Wednesdays can be dull, can't they ?
There are also an infinite number of even numbers.
But if the number of even numbers ...
... is only half of the number of whole numbers ...
Is the number of even numbers truly infinite?
(when there is another number twice as big).
Wednesdays can be dull, can't they ?
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The mistake is to treat infinity as a number that follows "normal" rules of arithmetic - it isn't and it doesn't.
To make matters even more confusing, consider that there are an infinite number of (irrational) numbers that lie between zero and one. This gets into the distinction between "countably infinite" (like the even and odd numbers, they can be put into a 1-to-1 correspondence with the "natural" numbers 1, 2, 3...) and "uncountably infinite" like the numbers between zero and one.
most of the great mathematicians who studied the properties of infinity (notably Georg Cantor) wound up spending time in mental institutions - and can you blame them?
More here: http://en.wikipedia.org/wiki/Infinity
To make matters even more confusing, consider that there are an infinite number of (irrational) numbers that lie between zero and one. This gets into the distinction between "countably infinite" (like the even and odd numbers, they can be put into a 1-to-1 correspondence with the "natural" numbers 1, 2, 3...) and "uncountably infinite" like the numbers between zero and one.
most of the great mathematicians who studied the properties of infinity (notably Georg Cantor) wound up spending time in mental institutions - and can you blame them?
More here: http://en.wikipedia.org/wiki/Infinity
Lol - you're in a thoughtful mood today jayne!!
Infinity is undefined because it has no end.
If you combine all the positive numbers with negative, you can form an equation, but it always results in zero.
For instance - 1 + -1 + 2 + -2 + 3 + -3........infinite - lol - it always equals 0. Infinity's just a representation of a never-ending series, but not a number in itself.
Coffee time! : )
Infinity is undefined because it has no end.
If you combine all the positive numbers with negative, you can form an equation, but it always results in zero.
For instance - 1 + -1 + 2 + -2 + 3 + -3........infinite - lol - it always equals 0. Infinity's just a representation of a never-ending series, but not a number in itself.
Coffee time! : )
A thing that confuses me is, imagine you dropped an apple from 6 foot above the ground, after a short while it would be half way between you dropping it and the ground (3 feet).
Then it would fall a bit more and be half way betwen 3 feet and the ground (1.5 feet) and then be 0.75 feet between that point and the ground and so on forever.
No matter how far it falls, there should always be a half way point, so in theory the apple should fall forever, as there is always a half way point between itself and the ground (no matter how small).
Then it would fall a bit more and be half way betwen 3 feet and the ground (1.5 feet) and then be 0.75 feet between that point and the ground and so on forever.
No matter how far it falls, there should always be a half way point, so in theory the apple should fall forever, as there is always a half way point between itself and the ground (no matter how small).
jj this character mayhelp
http://www.pixar.com/featurefilms/ts/images/ch rs_buzz.jpg
See you at the pub
http://www.pixar.com/featurefilms/ts/images/ch rs_buzz.jpg
See you at the pub
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