![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQLgLhqYElFrGmAPAKRlW8kPdkT2LIVc7OOzmEWFC09lbbOwz5ASmTm0WDIDadtdHFM3pQVGADvjsCwj2ZPI7dNUAhgGLjrmOFKZWvxIiJHoXvojmTANpDlXbmLks8m3KJ7XgY/s800/doghouse-2009-09-21-pi.png)
(via)
Statements like this bother me, because intuitively they seem correct, but are actually wrong. Just because something is infinite and non-repeating DOES NOT mean that all possibilities are expressed.
For example, consider the infinite sequence: 17, 34, 51, 68, 85, 102, 119, 136...
It increases by 17 each time. It's infinite, and it never repeats, but the number 2 is never going to exist in this set. Or 3, or 4, or 5, or 6, etc... 16/17 of all numbers will never be part of it. Infinity doesn't mean the same as everything.
UPDATE:
Well, now I had to make this:
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhQblxs3GOPI43XKW353t5xTVDFxJUoK9AOJ4KPgRKcFhzFWsIDgsv-VuKRGtWXUsj_YCfEbPAwRDDx6TItTfABKirun2U__qp15SwgDObm6yw9EHMS6YfdRKZxFf4vgehv7ADw/s400/infinity.jpg)
(store)
Very cool. Both the logic and the shirt.
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