Originally posted by Caro Kann 0.99999999999999999999999999999999
is
0.99999999999999999999999999999999
not 1....
First off. That fact that this thread has gone on for 15 pages is rediculous.
Secondly, I think the site should institute negative recs so I can negate the one that someone just gave to Caro Kahn.
Caro this is about the infinate continuation of .9999.... not the specific number .9999. If you do understand that then you are just being argumentative, and shame on you.
If you do not understand this, do some simple reading and math before you respond next time.
1 and 0.999... are more equal than 1/2=2/4 though. i mean, since when was 2 blue things and two red things equal to only having one red and one blue thing?!? they're not!
Originally posted by genius 1 and 0.999... are more equal than 1/2=2/4 though. i mean, since when was 2 blue things and two red things equal to only having one red and one blue thing?!? they're not!
BBRR does not equal BR. it's just crazy!
2/4 does NOT mean you have 2 reds and 2 blues.
2/4 stands for a ratio or a part.
2/4 means
- of the 4 things i have in total, 2 are 'special'
- two-fourth of all I have is 'special'
Thus 2/4 means EXACTLY the same as 1/2. Saying that 2 of every four things is 'special' is identical to saying 1 out of every 2 things is 'special'.
Originally posted by genius but if you have 2 blues out of 4 this does not mean you have 1 blue in two.
they are not exactly equal. they are isometric.
What does 'isometric' mean? If you mean 'isomorphic', then what is an isomorphism between the structures '1/2' and '2/4'? What sort of structures are these, anyway?
If you're asserting the existence of some isometry, how is it defined?