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naturalplastic
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Joined: 26 Aug 2010
Age: 70
Gender: Male
Posts: 35,189
Location: temperate zone

23 Nov 2019, 4:58 pm

In this thread we start with zero, and count our way to one, and not finish until we reach one.

But its not what you think. you're thinking that there are "no numbers between zero and one!".

I don't mean just the "natural numbers", (1,2,3,4, ..). I don't mean just the whole integers. I mean all NUMBERS between zero and one. Don't forget the fractions, and decimals. Like "one quarter" (aka "point twenty five"), and "one third" (aka "point three three three three.....").

We are going to start with the first number after zero, and continue until we hit one. Shouldn't take too long. But it will take some time.

So what IS the "first number after zero?" you may ask.

Obviously it's "one over infinity".

The next one after that is "one over the quantity infinity minus one". So that is how will start (until we get to the bigger and more familiar fractions like "one millionth", and "one sixth", and like that).

So I will kick it off. And do the first four to demonstrate how it's done.

Zero

One/infinity

One/(infinity minus 1)

One/(infinity minus 2)