If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one.
3. Open Threads should be posted in Discussion, and not Main.
4. Open Threads should start on Monday, and end on Sunday.
Exactly. The arguments about whether 0.99999.... = 1 are lacking a crucial item: a rigorous definition of what "0.9999..." refers to. The argument isn't "Is the limit as n goes to infinity of sum from 1 to n of 9*10^-n equal to 1?" It's "Here's a sequence of symbols. Should we assign this sequence of symbols the value of 1, or not?" Which is just a silly argument to have. If someone says "I don't believe that 0.9999.... = 1", the correct response (unless they have sufficient real analysis background) is not "Well, here's a proof that of that claim", it's "Well, there are various axioms and definitions that lead to that being treated as being equal to 1".
It's not. The "0.999... doesn't equal 1" meme is largely crackpottery, and promotes amateur overconfidence and (arguably) mathematical illiteracy.
Terms are precious real estate, and their interpretations really are valuable. Our thought processes and belief networks are sticky; if someone has a crap interpretation of a term, then it will at best cause unnecessary friction in using it (e.g. if y... (read more)