What does denumerable mean?
Definitions for denumerable
dɪˈnu mər ə bəl, -ˈnyu-de·nu·mer·able
This dictionary definitions page includes all the possible meanings, example usage and translations of the word denumerable.
Princeton's WordNet
countable, denumerable, enumerable, numerableadjective
that can be counted
"countable sins"; "numerable assets"
Wiktionary
denumerableadjective
Capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.
The empty set is denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a number.
Wikipedia
denumerable
In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set may be associated to a unique natural number, or that the elements of the set can be counted one at a time, although the counting may never finish due to an infinite number of elements. In more technical terms, assuming the axiom of countable choice, a set is countable if its cardinality (its number of elements) is not greater than that of the natural numbers. A countable set that is not finite is said countably infinite. The concept is attributed to Georg Cantor, who proved the existence of uncountable sets, that is, sets that are not countable; for example the set of the real numbers.
ChatGPT
denumerable
Denumerable refers to a set of elements that is infinite but can be arranged in a sequence that corresponds one-to-one with the set of natural numbers. In other words, it is a set that can be counted, where each item can be associated with a unique natural number, although the set may be infinite. Examples of denumerable sets include the set of all integers or the set of all rational numbers.
Numerology
Chaldean Numerology
The numerical value of denumerable in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of denumerable in Pythagorean Numerology is: 1
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"denumerable." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/denumerable>.
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