These are not equivalent statements though. You simply learned at some early age zero represents absence, but that is not a natural concept.
These are not equivalent statements though. You simply learned at some early age zero represents absence, but that is not a natural concept.
The following statement does not apply though: - there are no oranges left … as this implies that there have been oranges available at some time before.
"There are 0 apples left." is the answer to the question "How many apples are left?".
"There are 0 oranges." is the answer to the question "How many oranges are on the table?" (or "in the box" or wherever).
Everywhere where 0 appears in speech, it is the result of a counting or measuring operation, which provides the answer to a question, expressed or implied.
That counting or measuring operation could have had any other number as its result, instead of 0, which demonstrates that the nature of 0 is the same as that of any other cardinal number, i.e. it is a quantity (term introduced already by Aristotle, in his "Categories", where the various kinds of concepts and the words that name them were classified by the kinds of questions to which they provide answers).
However, this does not match the reality of how we learn about 0. Children learn 0 conceptually way after learning to count, because the concept is trickier to grasp.
Nevertheless, even if the concept of zero has been understood later than the concepts of 1, 2, 3 ..., it has still been understood in many places at least four thousand to five thousand years ago, i.e. already by the time of the oldest writings that have been preserved and thousands of years before the invention of the positional system of writing numbers, where the importance of zero has greatly increased and where it has required a dedicated graphic symbol.