Why float is not considered as an integral type?

Question

I'm watching over the type_traits, and accidentally came across the fact, that float is not considered to be an integral type. It was kinda surprise for me.

I looked through the web to find appropriate information, but couldn't find anything concerning that fact. All I could find is something like this:

If T is an integral type (bool, char, char16_t, char32_t, wchar_t, short, int, long, long long, including any signed, unsigned, and cv-qualified variants), provides the member constant value equal true. For any other type, value is false.

So the question here: Why did the C++ Standards Committee decide that float is not an integral type?

Answer 1

An integral type is one which has only integers - whole numbers. The purpose of floating point types is to represent non-integers as well.

From the Wikipedia page on integer (computer science):

In computer science, an integer is a datum of integral data type, a data type which represents some finite subset of the mathematical integers.