- #1

DanKnaD

- 1

- 0

- TL;DR Summary
- Can't you reverse any real number to make an natural "version" so a bijection can be made, eg 0.187362729 would become 927263781 and wouldn't this work for any real number

I'm pretty bad at maths, got an A at gcse (uk 16 years old)then never went any further, I've been looking into cantors diagonal argument and I thing I found an issue, given how long its been around I'd imagine I'm not the first but couldn't any real number made using the construct by adding 1 to the nth digit of the nth number be turned into a natural "version " by removing the 0. And writing the number out backwards. 0.19746292 would become 29 264,791, 0.0072923846 would become 6,483,292,700, etc. Couldn't this be done for any real number and then each real number has a one to one correspondence with a natural number so both would be a countable infinity?

Last edited: