The Gateway to Computer Science Excellence
0 votes
47 views

Natural numbers begin from 0 or 1?... now according to modern maths do we consider set of positive integers as natural numbers {0,1,2...}?

""Some definitions, including the standard ISO 80000-2,[1] begin the natural numbers with 0, corresponding to the non-negative integers0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 123, ….[2][3][4][5] Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).""(SOURCE:WIKIPEDIA)

in Set Theory & Algebra by Active (3.5k points)
edited by | 47 views

1 Answer

0 votes
natural numbers={1, 2, 3,.....}

positive integers={1, 2, 3, ....}

non-negative integers={0,1,2,3,....}

whole numbers={0, 1, 2, ......}

even numbers ={.....,-2, 0, 2, 4, ......}

odd numbers ={............, -3, -1, 1, 3, 5,...........}
by Junior (941 points)
0
Thanks .. but this i know ..please see my query again....

And what should we prefer in gate?
0
We should take natural numbers from 1 and onwards unless otherwise explicitly mentioned.

If they would expect us to use the set containing zero, why wouldn't they prefer mentioning whole numbers or non-negative numbers. This is what I have thought, not sure though.
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,737 questions
57,297 answers
198,264 comments
104,977 users