answersLogoWhite

0


Best Answer

If the set is finite you count the number of distinct elements in it.

If the set has infinitely many elements, and you can find a one-to-one mapping between these elements and the natural numbers, then its cardinality is Aleph-null. Incidentally, the cardinality of rational numbers is also Aleph-null.

If you can map its elements to the set of real numbers, and if the continuum hypothesis is true then the cardinality of the set is the next transfinite number, Aleph-one. Unfortunately, if the Zermelo-Fraenkel set theory is consistent then neither the continuum hypothesis nor its negation can be proven. [It is not that nobody has proved it, but worse: as Godel proved, in any consistent and not-trivial mathematical theory, there are statements that cannot be proved to be true or false.]

User Avatar

Wiki User

βˆ™ 10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you determine the cardinal of a given set?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you find the cardinal number to a set?

Count the number of distinct elements in the set.


The cardinal number of the set ΓΈ is 1?

No. The empty set has cardinal number 0. {ø } has cardinal number 1.


Determine the cardinal number of the set {x | x is a letter of the alphabet}?

I feel like a better explanation is that the answer is 26. I assumed that you were asking for {x|x, as long as x is a letter of the alphabet}. The cardinal number is basically just the number of terms in the set (it has to be distinct).


How do you set a 3108 cardinal watch?

instructions for cardinal 3108 digital watch


What can you determine when you use deduction start from a given set of rules and conditions?

what may be false


Can you determine when can you use deduction and start from a given set of rules and conditions?

what may be false


How do you determine the rate of change after being given a set of data?

u ask a teachr


What reasoning you using when you start from a given set of rules and conditions and determine?

Deductive reasoning


What can you determine when use deduction and start from a given set of rules and conditions?

what may be false


What is the rule of a set of numbers?

The only rule for any set is that given any element [number], you should be able to determine whether or not it is a member of the set.


How can you determine direction on a map that does not have a compass rose?

by the cardinal directions


What can you determine when you use deduction and start and start from a given set of rules and conditions?

What must be true