Kikacat123 6 Posted April 2, 2013 Report Share Posted April 2, 2013 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? Quote Link to post Share on other sites

vigmeister 0 Posted May 2, 2013 Report Share Posted May 2, 2013 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 ) Cheers! Quote Link to post Share on other sites

Liar 0 Posted August 6, 2016 Report Share Posted August 6, 2016 I think what she means here is that the fractions can continue infinitely but in the end none of the factions are going to be greater than 1. Technically this is true, if Infinity in number form is an unimaginable amount of numbers, then putting any of those unimaginable amount of numbers under the fraction would never get you above 1 or below zero. While I was saying this, I figured something out, if you put a fraction which is also part of an Infinity of numbers under 1, that would get you a whole number which is above 1. Quote Link to post Share on other sites

joshuagenes 0 Posted October 9, 2016 Report Share Posted October 9, 2016 Yes the answer to 1+2+3+4+5+....+oo is -1/12 Quote Link to post Share on other sites

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