1/3 = .333333....
1/3 + 1/3 + 1/3 = 1
So, yes
Poll: Does point 9 recurring equal one?
11–20 of 38 posts
Re: Poll: Does point 9 recurring equal one?
#12I'd be surprised if many people here vote is doesnt equal one. Im a poor mathematician and I agree :D
It's happened ...
Re: Poll: Does point 9 recurring equal one?
#13Why are you interested in getting people's opinions on a matter of fact? "Everyone is entitled to their own opinions, but they are not entitled to their own facts."
Some people regard it as "fact" that the Moon landings were faked. Some people regard it as "fact" that they've been abducted by aliens. Some people regard it as "fact" that they can power their car with water. Some people regard it as "fact" that there is only one size of infinity. Some people regard it as "fact" that you can choose one element from each of infinitely many non-empty sets. Some people regard it as "f…
One of my colleagues at work recently told me that point nine recurring is less than one.
I've meanwhile looked at some of your other recent comments, and it appears that you have rather stronger math background than I, and could well explain why your colleague's opinion is indeed not a fact. Or just refer your colleague to the excellent Wikipedia article on the subject linked to by another participant here. Is there a work issue that turns on how people at your workplace interpret 0.99999 . . . ?
Re: Poll: Does point 9 recurring equal one?
#14it approaches 1 but is not equal to 1.
PG should be using this poll to disable user accounts.
Re: Poll: Does point 9 recurring equal one?
#15None of the choices above work.
The LIMIT of .9999 is 1. Since .9 repeating is not actually the same number as .9 with an infinite number of nines at the end, you're always adding a nine out there to do something with it, right?
Sure .9 repeating infinitely is the same as one, but I'd argue that .9 with the repeating symbol is not, since the symbol indicates that the repeating has to take place manually. The repeating symbol is a mechanical one. And any manual, finite number of nines is not going to equal one, no matter how many times you manually add nines on to the end.
Plus I'm just feeling like arguing. Had a crappy day at work.
Re: Poll: Does point 9 recurring equal one?
#16According to math folk, yes.
According to philosophy folk, no.
This crowd is more likely to be math folk. Both crowds just need to get out and relax more.
Re: Poll: Does point 9 recurring equal one?
#17Why are you interested in getting people's opinions on a matter of fact? "Everyone is entitled to their own opinions, but they are not entitled to their own facts."
Some people regard it as "fact" that the Moon landings were faked. Some people regard it as "fact" that they've been abducted by aliens. Some people regard it as "fact" that they can power their car with water. Some people regard it as "fact" that there is only one size of infinity. Some people regard it as "fact" that you can choose one element from each of infinitely many non-empty sets. Some people regard it as "f…
Nice work including the axiom of choice in there.
FWIW it's hard to imagine the mind that wouldn't believe in the axiom of choice but would believe in .999 == 1 being a good phrase to use; that person would probably say
- 'I have a procedure for constructing a # arbitrarily close to 1, and if you tell me how close to 1 you want it i'll tell you how many steps of my procedure you need to execute'
Re: Poll: Does point 9 recurring equal one?
#18it approaches 1 but is not equal to 1.
(sorry to see you downvoted - because it is actually sometimes tought to grasp but...)
it doesnt approach one- your thinking of a nice graph where the line does approach but never touch, however 0.9... is NOT a function, cannot be plotted. It exists for infinite length.
Any distance it is from 1 is constant.
Re: Poll: Does point 9 recurring equal one?
#19Earlier quoted context omitted.
Some people regard it as "fact" that the Moon landings were faked. Some people regard it as "fact" that they've been abducted by aliens. Some people regard it as "fact" that they can power their car with water. Some people regard it as "fact" that there is only one size of infinity. Some people regard it as "fact" that you can choose one element from each of infinitely many non-empty sets. Some people regard it as "f…
One of my colleagues at work recently told me that point nine recurring is less than one. I've meanwhile looked at some of your other recent comments, and it appears that you have rather stronger math background than I, and could well explain why your colleague's opinion is indeed not a fact. Or just refer your colleague to the excellent Wikipedia article on the subject linked to by another participant here. Is there…
I've found that this question is one where people are often not persuadable, even by arguments that have been accepted for centuries. Somehow they "know" that 0.999... has to be less than 1. It "never gets there", or something. Articles on Wikipedia, MathWorld, etc., are regarded as simply wrong or irrelevant. They know better.
There are users of our systems who have similarly strong beliefs that I simply can't fathom. I'm interested in seeing what positions people take, and how they argue them. I'm learning a lot from this forum, specifically because it is not a random sample of ordinary people.
Linguists learn the most from pathological examples of maltreatment. Likewise, I'm learning a lot by probing the corners of the beliefs of non-typical people.
And there is an issue at work that uses similar analysis as that required by this question. More detailed, more complex, less obvious, but it boils down to a similar point. As his boss I can pull rank and tell him to do it as I say, but I'd rather engender understanding.
Re: Poll: Does point 9 recurring equal one?
#20.999... === 1, but .999 != 1.
Equivalent, but not equal.