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    It was amusing to read the word "fallacious" so often and thinking if you said it out loud it could mean something very different
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    but 4.444444' by the laws of decimal places... the 4 rounds up to the nearest whole number.... oh i see what you mean!
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    I liked the "proof" that "Every Natural Number can be Unambiguously Described in Fourteen Words or Less", cheeky!
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    (Original post by ogs)
    but 4.444444' by the laws of decimal places... the 4 rounds up to the nearest whole number.... oh i see what you mean!
    Since when do you round 4's up?
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    Prove by contradiction that proof by condradiction is valid.
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    (Original post by mik1a)
    The theory behind what? I just came across this when I was thinking about recurring decimals. How do you round a recurring decimal whose digits' rounding (up or down) depends on the next digit behind that.
    What are you all on about?
    Are you really suggesting that 1.4456
    would round to 1.446 then 1.45 them 1.5? are you.
    1.4456 = 1.4 (2dp) you only ever look to one dp after the rpound off point, if it's 5 or greater go up, 4 or less go down anything beyond that first decimal after the rounding point is irrelavent.

    and the algebra is the proof that 0.999.. is equal to 1

    an example that may convince you, you are happy that 0.333.... is 1/3?
    multiply each by 3 so 0.333...*3 = 0.999... and 1/3 *3 = 3/3 =1 so 0.999... =1
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    i like the proof that 0.99999999..... = 9/10 + 9/100 + 9/1000 + 9/10000 + .... = GP, a = 9/10, r = 1/10 => S = 9/10(1/(1-1/10)) = 1
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    Another interesting paradox:

    A man stepping on steel rails perpendicular to his direction of motion with a distance of 1 metre between each other is trying to get from one side of a canyon to the other.

    According to special relativity, the rails should be closer together to the man, and the man's steps should be smaller to the rails. Does the man fall down in the canyon?
 
 
 
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