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robarth
Rank #18869 on Comments
Level 221 Comments: Mind Blower Offline
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Gender:  male 
Date Signed Up:  3/26/2011 
Last Login:  3/03/2015 
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I play guitar! *insert awesome face here*
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latest user's comments
#68  If somebody wants know more about this, here have this:  02/23/2015 on Infinity Explain: Paradox  0 
#117  Picture  02/14/2015 on Post your favorite gif  +1 
#46  You can find it analytically, but yes, practically you can't.  01/18/2015 on To Infinity  0 
#39  And real line is just graphical representation of the set of r…  01/18/2015 on To Infinity  0 
#38  Well, you have mixed definitions, constructible numbers aren't… [+] (2 new replies)  01/18/2015 on To Infinity  0 
#36  What are you talking about? [+] (5 new replies)  01/18/2015 on To Infinity  +3 
#37 
bobpi (01/18/2015) [] The square root of 2 is correctly placed, because it's an algebraic number and you can construck a line with the length of square root of 2. To construct a line with the length of pi (or e, while we're at it), you need an infinite number of steps, you find 3, then you move to 3.1, then to 3.14, then to 3.141, then to 3.1415, etc. And since pi has infinite decimals, you can never find its exact position. You can get really close, but you can't find exact position, which is a propery of transcendental numbers. #38 
robarth (01/18/2015) [] Well, you have mixed definitions, constructible numbers aren't the same as algebraic numbers. You can solve for cube root of 2 with finite polynomial with rational coefficients (x^32=0) but you can't construct it (Doubling the cube) And pi IS on real line, yes you can't construct it, but it IS there.  
#26  Well, pi IS number on the real line, the transcendental proper… [+] (9 new replies)  01/18/2015 on To Infinity  +2 
#33 
bobpi (01/18/2015) [] Pi does belong to real numbers, I'm not saying it doesn't. However, real numbers can be divided in 2 groups: algebraic  those which can be shown on the number line, and transcendental  those which can't be shown on the number line. All transcendental numbers are irrational, but not all irrational numbers are transcendental. You can mark the point belonging to square root of 2 on the number line, but you can't apply the same to pi, tau, e, etc. #37 
bobpi (01/18/2015) [] The square root of 2 is correctly placed, because it's an algebraic number and you can construck a line with the length of square root of 2. To construct a line with the length of pi (or e, while we're at it), you need an infinite number of steps, you find 3, then you move to 3.1, then to 3.14, then to 3.141, then to 3.1415, etc. And since pi has infinite decimals, you can never find its exact position. You can get really close, but you can't find exact position, which is a propery of transcendental numbers. #38 
robarth (01/18/2015) [] Well, you have mixed definitions, constructible numbers aren't the same as algebraic numbers. You can solve for cube root of 2 with finite polynomial with rational coefficients (x^32=0) but you can't construct it (Doubling the cube) And pi IS on real line, yes you can't construct it, but it IS there.  
#19  either a fraction like .3 repeating ( = 1/3) or irrat…  01/18/2015 on To Infinity  0 
#16  My point was that you said that pi is infinite. I know you've … [+] (3 new replies)  01/18/2015 on To Infinity  1 
#17 
MrMustacho (01/18/2015) [] ah, i read "finite value" as "infinite value". so what would you call a number that goes on forever? #20 
CaptainPugwash (01/18/2015) [] Transfinite. And, as was very rightly stated below me, some examples would be root 2, pi, 2/3, that kind of stuff  
#14  Just for you guys incase you don'T get it. [+] (2 new replies)  01/18/2015 on To Infinity  +9 
#65 
vortexrain (01/18/2015) [] I have a headache now. I think she should've lead with the .333... thing first. 