User:RD/9k/truth value (Q530)

Main entry

truth value (top level category) / non-binary truth value

Binary truth values

formal logic
binary truth value -> sub-case of: non-binary truth value.
False / FALSE / F -> formal logic or boolean value
True / TRUE / T -> formal logic or boolean value

Non-binary truth values

non-binary logic -> the concept of a system of proposition-based logic which doesn't combine propositions based on binary True or False answers and yet does have propositions and logical operators. propositions are given "truthy", "falsy", or "unknown" answers simply to summarize whether they should be taken as accurate and not specifically to operate on mathematically. the combination of any particular two propositions is actually the material or concrete models inside the propositions combined together. if you "And" two models they produce a model containing both processes only if both processes were given a "truthy" label of being accurate to reality or whatever is being modeled. if you "Or" two models you are putting them in superposition and saying you think either model could happen as far as you know but you're not sure whether one or both of them could happen. for instance, you could "And" together classical physics and quantum physics to represent both of them happening and one stacking up to the other, or you could "Or" specific results of a chemical reaction into a superposition of most probable and least probable results before the reaction happens and is measured. for another example, you could "And" together a model with a truth value of "some occurrence", like "Cats have white fur" and a model that is "true" like "Cats can have partially-expressed patterns" to produce a piecewise statement that all-white cats can produce kittens with spots but the possibilities for other colors of cat are different.

Rating sheet truth values

communication rating level / work rating code
U / Unknown -> highly implies "probably not false" but doesn't state it
NG / Not Good
G / Good
(communication rating level)
(communication rating level)
N/A / Not Applicable
E / Excepted

Habermas

promotes non-hierarchical consensus (truth value; Habermas)
destroys non-hierarchical consensus (truth value; Habermas)

Red-orange truth values

promotes global socialist transition (truth value; meta-Marxism)
destroys global socialism (truth value; meta-Marxism)

Lisp truth values

empty set (set theory) / ∅ / {} / void set / size-zero set
non-empty set (set theory)

Fuzzy logic

fuzzy logic -> proposition-based logic which uses real numbers from 0 to 1. I don't think this is the only way to do non-binary logic, but it may be one of the easiest ones to explain and demonstrate.
fuzzy set / set with membership defined by fuzzy logic values -> a fuzzy set is a lot like any set, but its membership uses a non-binary truth value in the form of a rational number from 0 to 1. it's like one big circle with a bunch of numbers or Algebras around it where every object is a particular distance from the center to the outside. and of course, where the exact position around the circle doesn't matter, the circle is for flavor.
I'm thinking. I think if you threw these into a Dedekind cut, you'd have to define what each number in the set is first. one intuitive way to do it is to draw a real number line, with a ramp of numbers rising off it so you start at zero membership and go all the way up to one or higher if you want. and I think that would be complex numbers; I think one way to define a fuzzy set is to say basically each integer in a fuzzy set is a complex number that only goes up to n+i and doesn't do multiples of i.

Ideologies or fields