system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: How there are more numbers between 0 and 1 than there are integers?
gpt
An easy way to think of this one is that for any integer, you can place a decimal point in front of it to produce a number between 0 and 1. This proves there are at least as many numbers between 0 and 1 as integers. By adding zeros between the decimal and first non-zero value, you see that for every integer, you can generate an infinite number of decimals. For example, 1 would generate .1, .01, .001, .0001, etc. Thus the infinite of 0-1 is larger than the infinite of all integers.