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0.9999999999.... vs 1?

does 0.9999999 (reccuring) = 1?

  • definatly yes

    Votes: 37 71.2%
  • definatly no

    Votes: 12 23.1%
  • maybe, not quite sure

    Votes: 1 1.9%
  • maybe not, not quite sure

    Votes: 2 3.8%
  • have no idea

    Votes: 0 0.0%

  • Total voters
    52
arg-fallbackName="GoodKat"/>
Master_Ghost_Knight said:
The correct answer to this is undetermined. No one knows, in some cases it is one thing and in other it is something completly different.
I asked because the difference in angle between 2 parallel lines is 0, if 0 time infinity is 0, then the lines do not intersect at infinity. Of course, even if they did, what would determine which side they intersected on, it can't be both, or else they wouldn't be lines.
 
arg-fallbackName="Pulsar"/>
Josan said:
I checked the wikipedia definition on parallelism and one of the requirements was this: "2. Line m is on the same plane as line l but does not intersect l (even assuming that lines extend to infinity in either direction)."
Yes, I have to correct myself. The concept of infinity isn't valid in Euclidean geometry. The notion that parallel lines meet at infinity is defined in other geometries, such as projective geometry.
Then again, a parabola is often described as an ellipse with one focal point at infinity... confusing ;)
GoodKat said:
Hmm, what is 0 times infinity?
Undetermined. It can be any number.
Jebez42 said:
what is n times infinity; where n != 0?
Infinity.
Ozymandyus said:
2x infinity = infinity+infinity < 3x infinity etc... even though its impossible to conceive intellectually, degrees of infinity work mathematically.
No, 2x infinity = 3x infinity = ... = infinity. But yes, there are degrees of infinity: the amount of integers and rational numbers is countably infinite, while the amount of real numbers is uncountably infinite. See wiki here and here.
 
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