Results 1 to 4 of 4

Math Help - [SOLVED] Is there a smallest real number that is greater than 0

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    11

    [SOLVED] Is there a smallest real number that is greater than 0

    Not really a long question, but still kinda confusing. Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by NeedHelp123 View Post
    Not really a long question, but still kinda confusing. Thanks
    no. to prove this, do a proof by contradiction. assume there is, show that you can find a smaller one

    Quote Originally Posted by Moo View Post
    ahah ! 1-1
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Quote Originally Posted by NeedHelp123 View Post
    Not really a long question, but still kinda confusing. Thanks
    No, there isn't.

    Proof :
    assume there exists such a number, m : \forall x >0~,~0<m<x
    Now consider \frac m2
    This is obviously smaller than m. And still >0
    So it's a contradiction.



    ahah ! 1-1
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Feb 2009
    Posts
    11
    Hey guys thanks!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Let n be the smallest digit in your K-Number that is greater than 1 and?
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: March 7th 2011, 06:50 PM
  2. Replies: 3
    Last Post: February 8th 2011, 12:04 PM
  3. Count numbers greater than a given number
    Posted in the Math Software Forum
    Replies: 1
    Last Post: January 24th 2011, 03:56 PM
  4. Replies: 10
    Last Post: June 27th 2010, 01:45 PM
  5. smallest number
    Posted in the Algebra Forum
    Replies: 2
    Last Post: March 21st 2007, 05:08 PM

Search Tags


/mathhelpforum @mathhelpforum