www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut3_sets.htm

Jun 10, 2011 ... Identify what numbers belong to the set of natural numbers, whole ... It separates the negative numbers (located to the left of 0) from the positive ...

www.sparknotes.com/math/prealgebra/integersandrationals/section2

Zero is not considered a "natural number." Whole Numbers. The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero) ...

www.britannica.com/science/natural-number

Apr 18, 2017 ... …called the counting numbers or natural numbers (1, 2, 3, …). For an empty set, no object is present, and the count yields the number 0, which, ...

en.wikibooks.org/wiki/Arithmetic/Types_of_Numbers/Natural_Number

Some mathematicians consider 0 to be a natural number. This convention is common in logic and computer science. ℕ⁰, ℕ₀ and ℤ₀+ unambiguously denote ...

www.isu.edu/media/libraries/student-success/tutoring/handouts-math/what_kind_of_number.pdf

Whole Numbers. {0, 1, 2, 3, 4…..} These include the natural (counting) numbers, but they also include zero. They don't include negatives or fractions, but they ...

www.reddit.com/r/askmath/comments/gvax1v/zero_as_a_natural_number

While others insist 0 is not a number you use to count. The other definition I've seen is "The positive integers". For this one, zero doesn't fit the definition,...

science.jrank.org/pages/4570/Natural-Numbers.html

No one counts starting with zero, "0, 1, 2, 3..." because then the last number used is no longer the number of objects in the group and the answer would be wrong.

web.sonoma.edu/users/w/wilsonst/Papers/finite/4/default.html

We can now define the natural numbers. The first natural number is 0. Definition 4.2: The number 0 is the empty set. Definition 4.3: If n is a natural number, the ...

www.cs.yale.edu/homes/aspnes/pinewiki/NaturalNumbers.html

The existence of the set of natural numbers is asserted by the Axiom of Infinity. The smallest natural number is the empty set, which we take as representing 0. Next ...

www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-irrational-numbers/a/classifying-numbers-review

The natural numbers are all whole numbers, excepting 0. 0 is a whole number but not a natural number because it does not have a positive or negative value.