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Thread: .9999.... Repeating Does Equal 1

  1. #145
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    That's accepted mathematical truth.
    Guess I should have stopped when I said I would, before you said something is debateable, then that it is an "accepted truth".


  2. #146
    Skeptic of Skeptics
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    The more painless an exercise, the more likely you are of doing it. The more painful an exercise, the more likely you are of learning from it.

  3. #147
    Fire the Liars gr8fuldaniel's Avatar
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    Quote Quote by: Castle
    I am 100% certain that .9r=1. But that does not mean that the truth of the equality is not debateable.
    The truth is the issue here.
    Your claim that .9r = 1 is no more true than .999999999999 = 1
    Adding more 9's only makes it closer to 1...... always falling short.
    It is either approximatly 1 or exactly 1.
    It is impossible to be both.
    I can prove .9∞ ╪ 1; By adding .0∞1 to .9∞ you get 1
    If .9∞ did in fact = 1, then if you added .0∞1 and 1 you would get 1.0∞1
    Which I think we can all agree is more than 1

    Quote Quote by: Castle
    Quote by: gr8fuldaniel
    Anyway NEITHER of those links explained how a number can grow without addition or multiplying.
    Strawman. You will prove that I claimed that "a number can grow without addition or multiplying" or you will retract it.
    The above is response to this below....
    Quote Quote by: Castle
    Quote by: gr8fuldaniel
    Can you provide a source that shows exactly how an infinite number can covert itself, without addition, into the whole number 1?
    By 'infinite number', I presume you mean repeating decimal?
    0.999... - Wikipedia, the free encyclopedia
    Lots of proofs and such here.
    Polymathematics: No, I'm Sorry, It Does.
    Your source was supposed to support your claim that 0.9r could convert to 1 (grow into a 1. Transcend into wholeness. Become one in the universe) without addition.

    That support is not there. You sent me on a wild goose chase. You owe ME an apology!

    Last edited by gr8fuldaniel; 1st December 2006 at 05:01 PM. Reason: Only to fix quote boxes

  4. #148
    Igneous Magma Castle's Avatar
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    Quote Quote by: Kamehameha34
    Guess I should have stopped when I said I would, before you said something is debateable, then that it is an "accepted truth".
    Accepted truths can be debateable. It is an accepted truth that we exist, but that is most certainly debateable. It is an accepted truth that evolution is true, but that it also debateable. Etc. Point being: that which is an accepted truth can still be debated.


  5. #149
    Volcanic Erupter RickSp's Avatar
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    At infinity, the difference between 1 and .9999r is infinitely small. By definition it is too small to qauntify. If you want to consider an infinitely small number to be not equal to zero, that is up to you. Plot teh curve and integrate it and the area under it will be one.

    But you don't need calculus. If I slice a pie into thirds and add one third plus one third plus one third, I have one whole pie. Very simple. 1/3 +1/3+ 1/3 = 1

    Express it as a fraction however and it is equals .33r +.33r +.33r =.99r

    So is 1/3 + 1/3 + 1/3 = 1 or .999r? The answer is yes.

    Rick

    "When fascism comes to America, it will be wrapped in the flag and carrying a cross." Sinclair Lewis

  6. #150
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    Accepted truths can be debateable. It is an accepted truth that we exist, but that is most certainly debateable. It is an accepted truth that evolution is true, but that it also debateable. Etc. Point being: that which is an accepted truth can still be debated.
    Then why is it relevant that I am
    going against accepted mathematical theory by denying infinity
    ?



    Express it as a fraction however and it is equals .33r +.33r +.33r =.99r
    .3r is only repeating because 1/3 can't be precisely expressed in decimal form.


  7. #151
    Igneous Magma Castle's Avatar
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    Quote Quote by: Kamehameha34
    Then how is it relevent that I am going against accepted mathematical theory by denying infinity
    Eh, fair enough; it's not.


  8. #152
    Fire the Liars gr8fuldaniel's Avatar
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    Quote Quote by: Rick
    If you want to consider an infinitely small number to be not equal to zero, that is up to you.
    I am fine with rounding off to solve. Just admit it when you do.
    Are finitely small particles like an atom and a quark and a neutron inconsequential?
    As Yasa's cousin said
    how small is insignigicant?
    Who decides. Thats why rounding off is prolly going to be ok. Just be honest about it. Castles honesty is in jeopardy here. Its a molecular untruth. But an untruth nontheless.


  9. #153
    Volcanic Erupter RickSp's Avatar
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    OK Dan, what does 1/3 + 1/3 + 1/3 equal?

    What does .333R + .333R + .333R equal?

    Rick

    "When fascism comes to America, it will be wrapped in the flag and carrying a cross." Sinclair Lewis

  10. #154
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    .3r can never equal 1/3. That is why there are an infinite number of 3's. It is not exact, proven by the fact that if you treat .3r and 1/3 interchangeably, .9r would equal 1.


  11. #155
    Fire the Liars gr8fuldaniel's Avatar
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    Quote Quote by: Rick
    What does .333R + .333R + .333R equal?
    We will never know, it is ever moving into eternity.

    It wont hold still so we can add it.


  12. #156
    Fire the Liars gr8fuldaniel's Avatar
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    What does .333R + .333R + .333R equal?
    The best we can do is round it off at .999R

    Edit to add:
    Which can also be rounded off.
    No sweat.

    .999R ≈ 1 (≈ means approximately)


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