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Thread: Think of the smallest number greater than 0...

  1. 10-22-2007, 07:36 PM #1
    Peegee
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    Grin Think of the smallest number greater than 0...

    Then divide it by two. Isn't that number smaller yet greater than zero? Now do it again. Egads it's smaller!

    In fact, there isn't a smallest number greater than 0! There are infinite numbers between any two real number values [x, y]! But wait, there are infinite real numbers between any two real number values [y, z] as well! So how many real numbers are there between [x, z] ??? More than infinite? There's 'no such thing' ! Aieeee

    Topic: if you have any idea what the hell I'm babbling about, can you give me some reading material or explain the significance of this?
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  2. 10-22-2007, 07:51 PM #2
    Sergeant Hartman
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    Please, no.
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  3. 10-22-2007, 07:53 PM #3
    Old Manus
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    I'm sure I've seen this one before somewhere...


    there was a picture here
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  4. 10-22-2007, 07:55 PM #4
    Peegee
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    Grin

    You have no idea how much math, theoretical physics, and science in general is interesting to me now that learning it is not academically significant.

    To add to thread, I think the significance is that there are different 'amounts' of infinity, but what that means was never explained to me. I just perceived it as 'whoa, brain overload', or 'paradigm shift' :D

    [q]I'm sure I've seen this one before somewhere...[/q]

    Shhh
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  5. 10-22-2007, 08:12 PM #5
    I Took the Red Pill
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    I suggest reading up on Cardinality and Cantor's contributions to number theory and set theory, it could clear it up for you
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  6. 10-22-2007, 08:31 PM #6
    Levian
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    *rips off arm and slaps PG infinity times in the head*

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  7. 10-22-2007, 08:58 PM #7
    Chemical
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    The Heart of Mathematics: An Invitation to effective thinking
    Edward B. Burger & Michael Starbird


    Chapter Three Infinity
    3.1 What does infinity mean?
    3.2 Comparing the infinite
    3.3 Are Some Infinities Larger than Others?
    3.4 The Power Set and the Question of an Infinite Galaxy of Infinities
    3.5 Exploring the Infinite within Geometrical Objects

    Related:
    2.6 Irrational Side of Numbers
    ?? 0.9999... = 1

    It's a text book I own from a course I took last year; you can borrow it.
    It's all pretty basic... you know Cantor's Power Set Theorum, Proving that some infinities are larger than others, etc.

    Boldly go.
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  8. 10-22-2007, 09:22 PM #8
    Araciel
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    I have a question for you PG: WHY?
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  9. 10-22-2007, 09:27 PM #9
    Peegee
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    Grin

    Quote Originally Posted by Dyslexicon View Post
    I have a question for you PG: WHY?
    Why not? You should be asking your pure arts gf why she studied that, but I wouldn't ask her; it implies she shouldn't have. :D
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  10. 10-22-2007, 09:28 PM #10
    Araciel
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    I don't question why she does many things...it only leads to more questions.
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  11. 10-22-2007, 09:32 PM #11
    Yamaneko
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    A carriage wheel is not a carriage.
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  12. 10-22-2007, 10:12 PM #12
    Clawsze
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    Decimals can be endless, and usually are, and you can get a number like 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 0000001 and it stilll is bigger than zero, there is infinity x infinity numbers, numbers never end.
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  13. 10-22-2007, 11:57 PM #13
    Jojee
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    Dammit PG, how many times do I have to tell you, thinking is <i>bad</i> >:E


    Wat
    is
    going
    on
    wtf
    rawr
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  14. 10-23-2007, 12:05 AM #14
    Heath
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    I love how Clawsze's post has a vertical line down it between the zeroes that, for some reason, makes me think of the Death Star trench.
    Not my words Carol, the words of Top Gear magazine.
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  15. 10-23-2007, 12:43 AM #15
    Rengori
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    Quote Originally Posted by Jojee View Post
    Dammit PG, how many times do I have to tell you, thinking is <i>bad</i> >:E
    Yes, take Jojo's word for it, like <i>I</i> did.
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