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Re:Ask HN: Looking back, what have you wasted lots of time on? by kxyvr on Friday August 30, 2019 @05:44PM (#20843004)
This is not entirely true and depends on the logic system that you choose. Something that helped open my eyes to the different possibilities is this article, which talks about producing a formal logical system for statements in Buddhism:

https://aeon.co/essays/the-logic-of-buddhist-philosophy-goes...

This is written by a professor that I think has produced some really interesting results. Anyway, he discusses something called a plurivalent logic, which is a kind of paraconsistent logic:

https://en.wikipedia.org/wiki/Paraconsistent_logic

These logical systems allow for more than true or false. For example, they allow for neither true nor false as well as both true and false. Outside of their general theoretical interest, there are direct applications to systems with contradictory information. I like the paper "A Useful Four-Valued Logic" by Nuel Belnap:

https://link.springer.com/chapter/10.1007/978-94-010-1161-7_...

which discusses a 4-value logic system and its application to databases.

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