# Bit (abstract)

An abstract bit is an element of the set $$\mathbb B$$, which has two elements. An abstract bit is to $$\mathbb B$$ as a number is to $$\mathbb N$$. The set $$\mathbb N$$ contains a bunch of “numbers”, and these numbers sometimes have many different labels, such as “three” and “3”. Similarly, the set $$\mathbb B$$ contains a pair of “bits”, which sometimes have many different labels. The abstract bits are sometimes labeled 0 and 1; true and false; yes and no; or + and -. The labels don’t matter; the point is that the set $$\mathbb B$$ contains two elements, and we call those elements (abstract) bits.

Parents:

• Mathematics

Mathematics is the study of numbers and other ideal objects that can be described by axioms.

• Bit