Is $0$ a natural number? - Mathematics Stack Exchange
Is there a consensus in the mathematical community, or some accepted authority, to determine whether zero should be classified as a natural number? It seems as though formerly $0$ was …
What is a natural number? - Mathematics Stack Exchange
Sep 21, 2017 · 16 Suppose we did start with some notion of "natural number" which we used to construct a model of the real numbers. Then even in this setting, the quoted definition is still …
What are natural numbers? - Mathematics Stack Exchange
37 What are the natural numbers? Is it a valid question at all? My understanding is that a set satisfying Peano axioms is called "the natural numbers" and from that one builds integers, …
Why do some accept zero as a natural number but others don't?
Jan 8, 2015 · The natural numbers are those we use for counting objects. Some authors include 0 0 as a 'natural' number of objects to have and some don't. There is no consensus in the …
What is a real number (also rational, decimal, integer, natural ...
In mathematics, there seem to be a lot of different types of numbers. What exactly are: Real numbers Integers Rational numbers Decimals Complex numbers Natural numbers Cardinals …
elementary set theory - Natural numbers as a subset of integer …
Dec 4, 2018 · 3 Within set theory, having the natural numbers $\mathbb {N}$ built as the minimal inductive set with the corresponding additive and multiplicative operations defined, integers …
What is the difference between natural numbers and positive …
Apr 5, 2015 · The natural numbers have different definitions depending on the book; sometimes the natural numbers are just the positive integers $\mathbb N=\mathbb Z^+$, but other times …
Is $0$ the only natural number which does not have a predecessor?
Jan 3, 2025 · Axiom 2.3 guarantees that zero is not the successor of any natural number. But it doesn't guarantee its uniqueness thus there can exist some other natural number $\alpha$ …
LCM of First N Natural Numbers - Mathematics Stack Exchange
Feb 2, 2014 · LCM of First N Natural Numbers Ask Question Asked 11 years, 11 months ago Modified 2 months ago
0 as an element of the natural numbers [duplicate]
Apr 10, 2015 · For what reasons would or wouldn't one want 0 to be the start of the natural numbers as opposed to 1? Why would one want it to be 1, or why wouldn't one?