3 ms·
If we say that infinitesimals exist, it still happens that 1 = 0.999…. It just happens that 0.999 ≠ 1 - 𝛚. 0.999… = 1 is a property of the way we write some r
by mFixman 6y ago
If we say that infinitesimals exist, it still happens that 1 = 0.999…. It just happens that 0.999 ≠ 1 - 𝛚.
0.999… = 1 is a property of the way we write some rational numbers, not of the number system itself.
- tomtomtom1 6y agowouldn't 0.999.. be equal to 1 - 10^w since it's only a countably finite series of nines.
- mFixman 6y ago0.999...9 with a countable finite amount of nines is clearly less than 1. 0.999... with infinite nines is equal to 1.
- tomtomtom1 6y agosorry I typoed I meant, countably infinite. by w I meant the ordinal.