Mnementh said:
Yeah, the mindfuck is even bigger. We know rational numbers (can be expressed as quotient of two integers) and real numbers (well rational number + even more). Between each two unequal rational numbers we have an infinite number of rational and real numbers, but the infinity of the real numbers is bigger. http://en.wikipedia.org/wiki/Rational_number |
Our mind is not fit to understand infinity, but with mathematics we have a cool tool to tame these things.I didn't want to go any further but of course you are right but it's not new to me - even though my oral exam in mathematics (I studied CS) was very good but I still keep these little things in my head and they still somehow confuse me a little bit, even nowadays. It doesn't really bother me but perhaps our way to describe numbers or better representations of magnitudes or relations is not the best. It's hard to describe what I mean but perhaps we need another genius on earth who can take the way we see math to a new level of understanding.
