kardinalitásúak

Kardinalitásúak is a Hungarian term that translates to "those of cardinality" or "elements with cardinality." In mathematics, particularly in set theory, cardinality refers to the number of elements in a set. Therefore, kardinalitásúak would refer to elements that possess a specific cardinality or are being considered in the context of their set's size.

The concept is fundamental when comparing the sizes of sets. Two sets are said to have the same cardinality if there exists a bijective function between them. This allows for the comparison of infinite sets, a key development in mathematics. For instance, the set of natural numbers and the set of even numbers have the same cardinality, which is countably infinite. This is often denoted by $\aleph_0$.

Sets with a cardinality greater than that of the natural numbers are called uncountably infinite. The cardinality of the set of real numbers is an example of an uncountable infinity, often denoted by $c$ or $\aleph_1$ under the continuum hypothesis.

When referring to specific numbers of elements, a set with $n$ elements is said to have cardinality $n$. For example, the set {a, b, c} has a cardinality of 3. Kardinalitásúak would then encompass all elements within sets of finite or infinite sizes. The study of different cardinalities allows mathematicians to classify and understand the vastness of mathematical objects.