0
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.]
What else can I help you with?
How do we find the cardinal number of a given set?
To find the cardinal number of a given set, you count the number of distinct elements in that set. If the set is finite, the cardinal number is simply the total count of its elements. For infinite sets, cardinality can be described using concepts like countable and uncountable infinity. For example, the set of natural numbers has a cardinality denoted as ℵ₀ (aleph-null), while the set of real numbers has a greater cardinality.
How do you determine the rate of change after being given a set of data?
u ask a teachr
What can you determine when use deduction and start from a given set of rules and conditions?
what may be false
What reasoning you using when you start from a given set of rules and conditions and determine?
Deductive reasoning
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 do you find the cardinal number to a set?
Count the number of distinct elements in the set.
The cardinal number of the set ø 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
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 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
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.
When you start from the given set of rules and conditions and determine what must be true you are using what reasoning?
Deductive
What can you determine when you use deduction and start and start from a given set of rules and conditions?
What must be true
