we can say a step takes a definite amount of time, and it seems plausible to spend an infinite amount of time walking. if a step takes an infinite amount of time, then we'll never finish the first step, so is it still possible to spend an infinite amount of time walking?

iteration seems to be a half dimension. that is, one dimension is a number line. a one dimensional quantity is a number, and that can be positive, negative, zero.. but iteration, the process of maintaining a quantity of items counted, is half of a dimension. it's a number that only increases. there is no addition, subtraction.. its just a count.

interestingly, if we look at just one number in the number line, say the number one, it contains an infinite number of values between it and two. yet we can still reach the number two, we don't get stuck forever counting all the values before we get to two. because we iterate. we draw an imaginary line in numerical dimensioned space and consider it to be the next place of iteration. indeed.