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Q&A What is "continuous" in Math?

3 answers  ·  posted 3y ago by deleted user  ·  last activity 3y ago by deleted user

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#3: Post edited by (deleted user) · 2021-08-19T16:31:54Z (over 3 years ago)
  • I understand that in Math, there is a common separation between _discrete_ and _continuous_.
  • * I understand that in Math we could say that _discrete is anything (any set?) which is principally countable_;<br>
  • I therefore assume that in Math, "continuous" would be the opposite of discrete, hence _anything (any set?) which is principally noncountable_, but I am not sure.
  • What is "continuous" in Math?
  • I understand that in Math, there is a common separation between _discrete_ and _continuous_.
  • * I understand that in Math we could say that _discrete is anything (any set?) which is principally countable_;<br>
  • I therefore assume that in Math, "continuous" would be the opposite of discrete, hence _anything (any set?) which is principally noncountable_, but it might be wrong.
  • What is "continuous" in Math?
#2: Post edited by (deleted user) · 2021-08-19T16:07:12Z (over 3 years ago)
  • I understand that in Math, there is a common separation between _discrete_ and _continuous_.
  • * I understand that in Math we could say that _discrete is anything (any set?) which is principally countable_ (doesn't have the [Cardinality of the continuum](https://en.wikipedia.org/wiki/Cardinality_of_the_continuum) property);<br>
  • I therefore assume that in Math, "continuous" would be the opposite of discrete, hence _anything (any set?) which is principally noncountable_ (does have the Cardinality of the continuum property), but I am not sure.
  • **What is "continuous" in Math?**
  • I understand that in Math, there is a common separation between _discrete_ and _continuous_.
  • * I understand that in Math we could say that _discrete is anything (any set?) which is principally countable_;<br>
  • I therefore assume that in Math, "continuous" would be the opposite of discrete, hence _anything (any set?) which is principally noncountable_, but I am not sure.
  • What is "continuous" in Math?
#1: Initial revision by (deleted user) · 2021-08-19T11:30:46Z (over 3 years ago)
What is "continuous" in Math?
I understand that in Math, there is a common separation between _discrete_ and _continuous_.

* I understand that in Math we could say that _discrete is anything (any set?) which is principally countable_ (doesn't have the [Cardinality of the continuum](https://en.wikipedia.org/wiki/Cardinality_of_the_continuum) property);<br>
I therefore assume that in Math, "continuous" would be the opposite of discrete, hence _anything (any set?) which is principally noncountable_ (does have the Cardinality of the continuum property), but I am not sure.

**What is "continuous" in Math?**