Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Me
Posts:
1,713
Registered:
1/23/16


Re: It is a very bad idea and nothing less than stupid to define 1/3 = 0.333...
Posted:
Oct 1, 2017 4:08 PM


On Sunday, October 1, 2017 at 10:05:23 PM UTC+2, John Gabriel wrote: > On Sunday, 1 October 2017 15:01:36 UTC5, Me wrote: > > On Sunday, October 1, 2017 at 9:54:51 PM UTC+2, Me wrote: > > > On Sunday, October 1, 2017 at 9:48:24 PM UTC+2, John Gabriel wrote: > > > > On Sunday, 1 October 2017 14:38:14 UTC5, Me wrote: > > > > > On Sunday, October 1, 2017 at 9:32:32 PM UTC+2, John Gabriel wrote: > > > > > > > > > > "It is a very bad idea and nothing less than stupid to define 1/3 = 0.333..." > > > > > > > > > > Why? > > > > > > > > > > "0.333..." is just short for > > > > > > > > > > lim SUM_{k=1..n} (3/10^n) > > > > > n>oo > > > > > > > > Wrong. It is short for > > > > > > > > SUM_{k=1...oo} (3/10^n) > > > > > > John, you really should seek some help. > > > > > > I guess, you once KNEW that > > > > > > SUM_{k=1...oo} > > > > > > is just short for > > > > > > lim SUM_{k=1..n} . > > > n>oo > > > > > > Hint: We CAN'T actually "sum up" infinitely many terms. > > > > Additional comment: > > > > > > SUM_{k=1...oo} (3/10^n) > > > > > > > [...] It is most definitely not the same as 1/3 > > > > Well, actually it is. There's a simple prove for the theorem > > > > lim SUM_{k=1..n} = 1/3 . > > n>oo > > > > Hence > > > > oo > > SUM (3/10^n) = 1/3 . > > k=1 > > No idiot. You define > > oo > SUM (3/10^n) = 1/3 [A] > k=1 > > as being equal to > > lim SUM_{k=1..n} = 1/3 [B] > n>oo > > Get it moron? You DEFINE [A] = [B] aka S = Lim S. > > There is NO PROOF of anything. Definitions do not require proof.


Date

Subject

Author

10/1/17


Me

10/1/17


Me


