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Bit (abstract)

Edited by So8res last updated 31st May 2016

An abstract bit is an element of the set B, which has two elements. An abstract bit is to B as a number is to N. The set N contains a bunch of "numbers", and these numbers sometimes have many different labels, such as "three" and "3". Similarly, the set 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 B contains two elements, and we call those elements (abstract) bits.

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