/lounge/ - Continuum hypothesis

Name: Anonymous 2018-05-13 18:20

https://en.wikipedia.org/wiki/Continuum_hypothesis
"There is no set whose cardinality is strictly between that of the integers and the real numbers."
(n/2) set: 0,0.5,1,1.5,2,2.5
Its bigger than integer set(x2) and smaller than reals.

Name: Anonymous 2018-05-13 19:22

this has the same cardinality as integers, just counting by 0.5 instead of 1
now next thread

Name: Anonymous 2018-05-14 2:49

>>2
(n/2+n/3) set:
0,0.333..,0.5,0.666..,1,1.333...,1.5,1.666...,2

Name: Anonymous 2018-05-14 7:24

HIBT or are your're are really too dumb to understand aleph zero and countable infinity, OP?

Name: Anonymous 2018-05-14 8:02

The set of irrational numbers is bigger than integer set.

Name: Anonymous 2018-05-14 8:08

>>4
Rude!

Name: Anonymous 2018-05-14 11:44

>>2
all decimals that end in 303?

Name: Anonymous 2018-05-14 13:57

The reals
vs
the set of all reals that don't contain the digits 1,3,5,7,9 ."even-digited reals"
Now, where is thy continuum?

Name: Anonymous 2018-05-14 14:18

>>8
the reals vs real numbers that only contain the number 1 such as 1.11 11.11 111.111111 etc. The second set is obviously smaller.

Name: Anonymous 2018-05-15 0:44

All of the reals between 1.0 and 2.0?

Name: Anonymous 2018-05-15 0:56

I'm not prime, I'm involuntarily indivisible.

Name: Anonymous 2018-05-15 6:56

>>11
You're just refuse being rational.

Continuum hypothesis

1 Name: Anonymous 2018-05-13 18:20

2 Name: Anonymous 2018-05-13 19:22

3 Name: Anonymous 2018-05-14 2:49

4 Name: Anonymous 2018-05-14 7:24

5 Name: Anonymous 2018-05-14 8:02

6 Name: Anonymous 2018-05-14 8:08

7 Name: Anonymous 2018-05-14 11:44

8 Name: Anonymous 2018-05-14 13:57

9 Name: Anonymous 2018-05-14 14:18

10 Name: Anonymous 2018-05-15 0:44

11 Name: Anonymous 2018-05-15 0:56

12 Name: Anonymous 2018-05-15 6:56