An Engineer’s Journey in Mathland, Part 2 Province of 3-Valued Logic


Hazem Mahsoub, "An Engineer’s Journey in Mathland, Part 2: Province of 3-Valued Logic"
English | 2021 | ASIN: B093P5JQ4R, B0959BCVN5 | EPUB | pages: 102 | 1.6 mb
It all started with an ancient riddle.


During California’s rolling blackouts in the late 90s, a group of software engineers couldn’t find anything better to do than solving riddles. One of these riddles inspired the creation of a new numeral system. Later, the author found out it’s already been invented, namely the balanced ternary system. A big disappointment.
Luckily, not all of his work has been invented before. The validation, the generalization of the numeral system, as well as several algorithms, were all new and couldn’t be found anywhere. So, he continued the journey and the development which led to part 2, revolving around 3-valued logic, and new discoveries/development there too.
In this part, part 2, we start by borrowing definitions and functions from Boolean to 3-valued logic until we hit a roadblock, like many others before us. Then, we make a big shift in perspective that enables us to come up with new equations and relationships. These equations and relationships make 3-valued logic more robust, flexible, applicable, and in short, more practical.
‘Hope you enjoy this exploration journey and find it inspiring.

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