Are all whole numbers also natural numbers? - Answers

That depends on whom you ask. The idea of what is "natural" evolves over time. I would answer yes, others here would answer no.The science of Mathematics has many different branches, developed over thousands of years. There is disagreement in some of those branches as to the definition of natural numbers, specifically whether or not to include zero. Some authors begin the natural numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 1, 2, 3, …. 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).For the sake of clarity, I use "counting numbers" to indicate the set of non-negative integers that doesn't include zero and avoid the term "natural numbers" altogether, but that won't help you on a test. Answer whatever your teacher says, but if you were marked wrong for answering "yes" you could inquire about the Peano axioms or the von Neumann ordinal construction although we won't be held responsible for the result of that conversation if your teacher hasn't heard of them.Yes