Re:0.999...= 1
by throwaway894345 on Tuesday April 28, 2020 @12:47PM
(#23008852)
I think the problem is that people are often only taught base-10 so they confuse numerals with numbers. If you learn base 2 and then base 16 and then base pi, you start to realize that numbers are something more abstract than whichever numeral system we use to represent them. Rightly or wrongly, the way I imagine integers now is an infinite set of different numerals (base infinity?) such that there is only ever 1 digit (I don't actually have concrete pictorials assigned to those numerals).
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Interesting. I find it funny to imagine what if you did have pictorial representations. They'd have more and more complex strokes and knots, and you would also need an infinitely large paper or infinitely precise pen in order to not end up repeating a number sooner or later as you enumerate them.
Come to think of it, this is one way of thinking about the relationship between symbols and geometry.
Re:0.999...= 1
by throwaway894345 on Tuesday April 28, 2020 @01:30PM
(#23009448)
Who says pictorials have to be 2-dimensional? ;)