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diff --git a/content/zettel/4e2a.md b/content/zettel/4e2a.md new file mode 100644 index 0000000..ccdaf48 --- /dev/null +++ b/content/zettel/4e2a.md @@ -0,0 +1,35 @@ ++++ +title = "Kleene and Priest logics" +author = "Yann Herklotz" +tags = [] +categories = [] +backlinks = ["4e2b", "4e2"] +forwardlinks = ["4e2b", "4e2a1"] +zettelid = "4e2a" ++++ + +These logics are the more "standard", and seem to be the most +straightforward definition of three-valued logic. For example, it has a +lazy or and lazy and, becoming true and false when the answer could be +nothing else. Otherwise, the result can also be undefined. + +| AND | F | U | T | +|-----|-----|-----|-----| +| F | F | F | F | +| U | F | U | U | +| T | F | U | T | + +| OR | F | U | T | +|-----|-----|-----|-----| +| F | F | U | T | +| U | U | U | T | +| T | T | T | T | + +Then, implication can be defined in terms of AND and OR. In addition to +that NEG(U) = U. + +| A-\>B | F | U | T | +|-------|-----|-----|-----| +| F | T | T | T | +| U | U | U | T | +| T | F | U | T | |