Question

What is the cardinality of R3?​

Answer 1

Answer

In set theory, the cardinality of the continuum is

In set theory, the cardinality of the continuum is the cardinality or "size" of the set of real numbers {\displaystyle \mathbb {R} }\mathbb {R} , sometimes called the continuum. It is an infinite cardinal number and is denoted by {\displaystyle {\mathfrak {c}}}{\mathfrak {c}} (lowercase fraktur "c") or {\displaystyle |\mathbb {R} |}|\mathbb {R} |.

Answer 2

Question

What is the cardinality of Real numbers?​

Answer:

The cardinality of the real numbers, or the time, is c. The timing hypothesis asserts that c equals aleph-one, following cardinal number; that's, no sets exist with cardinality between aleph-naught and aleph-one.

Step-by-step explanation:

Here we want to speak concerning the cardinality of a collection, that is that the size of the set. The cardinality of a collection is denoted by |A|

Finite Sets:

Consider a collection A. If A has solely a finite range of parts, its cardinality is just the amount of parts in an exceedingly. as an example, if A=, then |A|=5.

In Finite numerable Sets:

A set A is countably infinite if and given that set A has a similar cardinality as N (the natural numbers). If set A is countably infinite, then |A|=|N|. moreover, we have a tendency to designate the cardinality of countably infinite sets as ℵ0 ("aleph null"). |A|=|N|=ℵ0.

In Finite Uncountable Sets:

an uncountable set (or uncountably infinite set) is an associate infinite set that contains too several parts to be numerable. The uncountability of a collection is closely associated with its {cardinal range/cardinal number}: a collection is uncountable if its cardinal number is larger than that of the set of all-natural numbers.

Hence the cardinality of Real numbers is infinite.

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