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Can Infinity Be Less Than One?


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#1 Kikacat123

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Posted 02 April 2013 - 11:21 PM

The concept of infinity cannot be comprehended, because infinity is so unimaginably large. But a certain "type" of infinity is actually less than one. (And no, it is not negative infinity.) Think about it this way:
You can have the fraction 1/2. There is also 1/3. And 1/4, 1/5, 1/6, 1/7, etc. The fractions go on to 1/infinity. Isn't it odd to think that an uncountable number can be only a little more than zero?
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#2 vigmeister

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Posted 02 May 2013 - 05:16 PM

1/n is basically "one divided into n parts"... using this definition, "one divided into an uncountable number of parts" will be naturally close to zero. I think the jump you made was

- infinity is uncountable

- 1/2, 1/3, 1/4.... 1/infinity

- 1/infinity is uncountable (Why? 1/infinity is clearly defined as zero..but let's say I grant you this even if I do not agree)

- infinity is less than zero (Why? just because it is uncountable, it is not infinite :) )

 

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