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  1. #81

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    Quote Originally Posted by Jack Flak View Post
    Oh no.

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  2. #82
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    We had a 500 post debate on that on another forum.

  3. #83

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    Quote Originally Posted by Jack Flak View Post
    We had a 500 post debate on that on another forum.
    Seriously? I think the matter is fairly clear.

    I wish nemo were posting regularly still, but maybe LL, myself, or some other mathematically inclined regular could do a good explanation.

    Accept the past. Live for the present. Look forward to the future.
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    "[A] scientist looking at nonscientific problems is just as dumb as the next guy." Richard Feynman
    "[P]etabytes of [] data is not the same thing as understanding emergent mechanisms and structures." Jim Crutchfield

  4. #84
    Glowy Goopy Goodness The_Liquid_Laser's Avatar
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    Quote Originally Posted by ygolo View Post
    Seriously? I think the matter is fairly clear.

    I wish nemo were posting regularly still, but maybe LL, myself, or some other mathematically inclined regular could do a good explanation.
    This is one of those things that seems so obvious that if a person doesn't accept it, then there will be no convincing them. Anyway here is my simple explanation:

    1/3 = .333333333333...

    1/3 + 1/3 + 1/3 = 1

    .333333333333...
    + .333333333333...
    + .333333333333...
    = .999999999999...

    Therefore .999999999999... = 1
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  5. #85
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    Quote Originally Posted by The_Liquid_Laser View Post
    This is one of those things that seems so obvious that if a person doesn't accept it, then there will be no convincing them.
    Exactly. The way my brain functions just doesn't accept it. I consider 0.999... to be--I'm not sure what it's called, something irrational.

    The flaw in the deduction is that

    0.3333...x3 is 1, not 0.999...

    But I really don't want to have this debate again. I know the jury is in on it, and I still refuse to get behind it.

  6. #86
    Senior Member Bufo's Avatar
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    For me, the most fascinating fact was to have realized the power of definitions, axioms and abstraction. I had a very hard time to get there.

  7. #87
    `~~Philosoflying~~` SillySapienne's Avatar
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    ygolo, if you would, help me with this:

    Koch snowflake - Wikipedia, the free encyclopedia <----- Totally get. (i.e. this makes sense to me)

    Gabriel's Horn - Wikipedia, the free encyclopedia <----- Totally don't. (i.e. this absolutely doesn't)

    The volume approaches Pi. Um, how is that finite?!?!?!?!

    Grrrrrrr, silly mathematicians!!!



    Thanks!!

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  8. #88

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    Well the derivation is there on the Wiki page. Is there a particular step you don't undertand.

    The Basic reason is that all the parts you are integrating get smaller as you go further out. They get smaller at a fast enough rate that the lmit of Reimann Sums (which the integral is) converges.

    Math is always built-up from lower level concepts, so if there is a step that seems counter-intuitive, we can trace back to definitions.

    Accept the past. Live for the present. Look forward to the future.
    Robot Fusion
    "As our island of knowledge grows, so does the shore of our ignorance." John Wheeler
    "[A] scientist looking at nonscientific problems is just as dumb as the next guy." Richard Feynman
    "[P]etabytes of [] data is not the same thing as understanding emergent mechanisms and structures." Jim Crutchfield

  9. #89
    `~~Philosoflying~~` SillySapienne's Avatar
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    Is pi a finite number/quantity?
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  10. #90
    `~~Philosoflying~~` SillySapienne's Avatar
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    Also, is a discrete, actual circle even real?!?!?!?

    I have issues with pi.

    Is a circle a theoretical construct?

    Like, in reality, what does the circumference, (as in the linear perimeter) of a circle even look like?

    Sorry, if I am asking stupid questions. :/
    `
    'Cause you can't handle me...

    "A lie is a lie even if everyone believes it. The truth is the truth even if nobody believes it." - David Stevens

    "That that is, is. That that is not, is not. Is that it? It is."

    Veritatem dies aperit

    Ride si sapis

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