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natural number

natural number

1 3.4
A number used for counting that starts at one and goes up
  • noun
  • /ˈnæʧərəl ˈnʌmbər/
  • Specialized
translation icon : número natural
  • To this day, no one has been able to fully prove this conjecture holds true for all natural numbers, but clearly it has for every number as yet tested.
  • natural numbers from 1
  • natural numbers (1, 2

Are there any solutions in what do you call natural numbers?

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Examples

  • Whether you start by considering a number of apples or use the Peano axioms, the natural numbers are concepts in their own right.

    Blog text (15)
  • And I include all the natural numbers, so all the way up to Infinity.

  • Ages and years are natural numbers.

    Academic text (2017)
  • Why can I find such a natural number that satisfies this?

  • So the natural numbers are clearly a subset of the integers.

  • In both everyday intuition and the foundations of mathematics, the natural numbers are defined without any recourse to addition.

    Blog text (15)
  • Now, for any natural number n, if Gn began to exist, then Gn must have a cause, G(n+1).

    Blog text (26)
  • Natural numbers are used when counting items, such as natural numbers of apples in a basket.

  • The sequence of natural numbers starts with 1 and continues indefinitely.

  • When you roll a die, the possible outcomes are all natural numbers from 1 to 6.

Synonyms

cardinal number
vsnatural number
  • Specialized
1 2.4

A number that shows how many things there are, not their order, for example one, two, three

refers only to whole counting numbers starting at one

Antonyms

negative
  • Specialized
213 3.2

Less than zero in amount, value, or temperature

Surface Forms

Morphology

natural + number

The phrase is a technical mathematical term whose precise meaning ('1 or any greater whole number used for counting') is not directly derivable from the everyday sense of 'natural' (not artificial) plus 'number' (quantity). However, the adjective+noun composition signals a subtype of numbers and many languages use cognates (e.g. French 'nombre naturel', Spanish 'número natural'), so learners may infer it denotes a class of numbers—making it partially but not fully predictable.

Etymology

The term natural number comes from the idea that these are the numbers we naturally use to count things like one, two, and three. So, natural numbers mean the whole numbers '1 or any greater whole number'.