Because George Boole 1815-1864, a mathematician and philosopher, wrote some papers about how logical axioms and results could expressed as mathematical operations. As as a philosopher, his interest was in proving a proposition based on a series of true or false conditions was in fact true or false. So he developed a mathematical algebra to deal with that problem. Others have extended and applied this work to computer science. George certainly never any inkling what computer science was or how his work could be used. But he was one of the first who inadvertently contributed to computer science through no intent of his own.The question is " Why boolean algebra has only two distinct elements i.e., 0 and 1?"
Yes, other binary situations are right-wrong, good-bad, right-left, up-down, forward-backward, flip-flop. There are many situations that offer binary choices.I think it has only two elements because it deals with switching which has only two states ON and OFF.
Am I right or are there any other reasons..
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by Jake Hertz