Discussion:
Continuous set and continuum hypothesis
(too old to reply)
PengKuan Em
2015-12-10 02:28:35 UTC
Permalink
Raw Message
This article explains why the cardinality of a set must be either Aleph0 or |ℝ|.

1. Rational numbers are discrete
2. Real numbers are continuous
3. Collectively exhaustive and mutually exclusive events
4. Continuum hypothesis
5. Cardinality of discontinuous subsets of real numbers

Please read the article at
PDF Continuous set and continuum hypothesis
http://pengkuanonmaths.blogspot.com/2015/12/continuous-set-and-continuum-hypothesis.html
or
Word https://www.academia.edu/19589645/Continuous_set_and_continuum_hypothesis
Robin Chapman
2015-12-10 07:47:06 UTC
Permalink
Raw Message
Post by PengKuan Em
This article explains why the cardinality of a set must be either Aleph0 or |ℝ|.
Can't it me more than |R|?
PengKuan Em
2015-12-10 12:17:35 UTC
Permalink
Raw Message
Post by Robin Chapman
Post by PengKuan Em
This article explains why the cardinality of a set must be either Aleph0 or |ℝ|.
Can't it me more than |R|?
This is not the object of the continuum hypothesis. So I haven't thought about it.

PK

Loading...