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...e: one, two, three, four, five, six. They are sometimes called '''counting numbers'''. The '''[[Set#Cardinality_of_a_set|cardinality]]''' of a [[set]] is the cardinal number that tells us, roughly speaking, the size of the set. ...

[[Image:Aleph0.svg|thumb|right|150px|Aleph-naught, the smallest infinite cardinal number]] ...(size) of the [[set]] of [[natural numbers]] (there are aleph null natural numbers). [[Georg Cantor]] invented and named the concept. The symbol for aleph nul ...

* The set of all [[cardinal number]]s does not exist. In modern set theory, these are not paradoxes, as "all cardinal numbers" and "all sets" are [[class (set theory)|proper class]]es, not sets. ...

...of [[Infinity|infinite]] [[Cardinal number|cardinal numbers]] (called beth numbers).<ref>{{Cite web|date=2020-03-20|title=Greek/Hebrew/Latin-based Symbols in ...

...ntinuum hypothesis]], it is also the cardinality of the [[Real number|real numbers]].<ref>{{Cite web|last=Weisstein|first=Eric W.|title=Aleph-1|url=https://ma [[Category:Cardinal numbers]] ...

...icularly in the theory of [[Infinity|infinite]] [[Cardinal number|cardinal numbers]]), the <math>\gimel</math> symbol is used to represent the [[gimel functio ...

...infinite]]. These numbers can be categorized into two types: transfinite [[Cardinal number|cardinals]] and transfinite [[Ordinal number|ordinals]]. ...1</math> ([[aleph one]]) and <math>\aleph_2</math>. These are called aleph numbers.<ref name=":0">{{Cite web|date=2020-04-11|title=Comprehensive List of Set T ...

'''Ordinal numbers''' (or '''ordinals''') are [[number]]s that show something's [[order]], for ...inal'). The person then simply counts those objects, and gives the ordinal numbers to them. ...

...s, it's always possible to find a number that's not on that list. The real numbers have a cardinality of <math>\mathfrak{c}</math>—the cardinality of the cont * [[Cardinal number]] ...

...[cardinality]] of [[infinite]] [[set theory|sets]]. These are called aleph numbers, with some of the most notable ones being [[aleph null]] (<math>\aleph_0</m * [[Cardinal number]] ...

...igin, meaning "without end". Infinity goes on forever, so sometimes space, numbers, and other things are said to be 'infinite', because they never come to a s ...itely big, like aleph null, because the cardinality of the list of natural numbers has to be an integer, because you cannot have 2.718281828... items on your ...

...numbers have a [[:wikt:minus|minus]] (−) in front of the number. Positive numbers have no sign or a [[:wikt:plus|plus]] (+) sign in front. Zero usually has n The number of integers is [[infinite]]. The [[cardinal number]] of <math>\mathbf{Z}</math> is <math>\aleph_0</math>. The [[ordinal ...

| colspan="2" | {{numbers (0s)}} | [[Cardinal number|Cardinal]] || minus one, negative one, one below ...

...tion for finding the ''[[Product (mathematics)|product]]'' of two [[number|numbers]] in [[mathematics]], and is the opposite of [[division (mathematics)|divis ...ication gives the number of tiles in a [[rectangle]], where one of the two numbers equals the number of tiles on one side, and the other number equals the num ...

| cardinal = one, unit, unity ...cause the [[binary]] numeral system uses only ones and zeroes to represent numbers. In [[machine code]] and many [[programming language]]s, one means "true" ( ...

* People use symbols to represent numbers; they call them [[numeral]]s. Common places where numerals are used are for * [[Cardinal number]] ...

* [[Numbers]]: including how things can be [[Counting|counted]]. ...ture and behavior of the integers rather than on the actual foundations of numbers themselves, and so is not listed in this given subsection. ...

...er" would be a third great-grandfather, and so on. Some sources also use [[cardinal number]]s for numbering greats. For example, a great-great-great-great-grea ...

| cardinal = zero, {{nowrap|oh {{IPAc-en|ˈ|oʊ}}}}, nought, naught, none, nothing, null | divisor = all numbers except itself ...

...ount of numbers. Only [[Wikipedia:Notable|notable]] numbers will be added. Numbers can be added as long as they are popular in [[math]], [[history]] or [[cult This means that numbers can only be [[Wikipedia:Notable|notable]] if they are a big part of [[histo ...