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THEOREM: All numbers are interesting. PROOF BY CONTRADICTION: If there are boring numbers, then there must be a minimum absolute boring one; which makes it an
by blippage 4y ago
THEOREM: All numbers are interesting.
PROOF BY CONTRADICTION: If there are boring numbers, then there must be a minimum absolute boring one; which makes it an interesting number. QED
- BizarroLand 4y agoIf you take an infinite pile of whole, positive integer numbers and sieve out all of the interesting numbers that are interesting for reasons other than they are not interesting in any other way, you would be left with a smaller infinite pile of numbers that are only interesting because they are not interesting in any way other than that they are in the pile of non-interesting numbers. Therefore, there is an infinite amount of numbers that are not interesting for any other reason than that they are not interesting. The fact that the most obviously not interesting number in the infinite pile of uninteresting numbers is interesting because it is so obviously uninteresting does not distract from the infinite pile of not interesting numbers below it. We can assign that uninteresting number a value of 1/1. If the second most obviously least interesting number is interesting because it is the second least interesting number, then we can say that it has an interest value of 1/2 of the most obviously least interesting number. The next one would get 1/3, and the next 1/4, and so on and so on through 1/infinity, which converges to mean that there is a total of 2 points of interest in the uninteresting group. (The first is that there is a most least interesting number, and the second in that there is an infinite pile of uninteresting numbers aside from that). I'm gonna do some hand waving here and say that this means that there is a point where the number are so large and incomprehensible to human or machine minds, where the values of the numbers are so entirely lost in computational morass that to assign the nomenclature that differentiates that number from its brethren requires more computational power than there will ever be atoms in the universe capable of being used for computation between the beginning and end of time. Somewhere out past that is a number whose 1/"interest" value is so denominatorily close to infinity that it is, in fact, the least interesting number even when taking into account that the least interesting number is interesting for its uninterestingness. Remember, we are already working within the infinite set of fundamentally uninteresting numbers. Therefore, there is at least one uninteresting number that is completely boring and uninteresting despite the fact that uninteresting numbers are interesting because of their uninterestingness. That number must be the most uninteresting number regardless of whether it is interesting because of its lack of interestingness because there has already been an infinite number of interestingly uninteresting numbers to the point where there is no interest left to account for its uninterestingness. This number would be so uninteresting as to be impossible to even think of. The moment you can conceptualize a number it would automatically be excluded from the list of candidates for the most perfectly uninteresting number. Even the concept that this response has generated has created a false concept of the least interesting number. The least interesting number is beyond this explanation and the abstract concept of a "number" that this conveys, the number that you could say would be interesting because of its uninterestingness, is not the number that is being expressed here. It is too uninteresting to be identified as anything concrete, too elusive to be conceptualized, too mystic to be grasps, too meta to be connected to the tangible universe, and there are so many of them you could hold every infinite uninteresting number that may or may not possibly exist in the aplm of your hand and you still wouldn't be able to grasp it because of how uninteresting it is, even though the description of how difficult the number is to express how uninteresting the number is is interesting, the number itself means nothing either directly or by comparison.