I saw an exchange on twitter recently, and am wondering if someone can clear this up. Are there an infinite and finite amount of numbers between 0 and 1? I thought there is an infinite amount between two numbers. I'm confused with what the person below means by Infinite, and yet finite. Since the number 1 exists
person a:
1 + 1 = 2 true?
person b:
1 + 1 does not equal 2, for some large values of 1
person a:
there are a lot of decimals points/numbers between 0 and 1
person b:
not just a lot. Infinite
person a:
Infinite, and yet finite. Since the number 1 exists
There are infinite numbers between 0 and 1.
$0.1, 0.01, 0.001, 0.0001, ....$
Just between 0 and .1 there is infinite numbers.