But is there a continuous "many valued" logic, where any proposition can be evaluated to take on some sub-region of a continuous set?
Yes! See Wikipedia for a good discussion: https://en.m.wikipedia.org/wiki/Many-valued_logic ----------------------------------- Frank Wimberly My memoir: https://www.amazon.com/author/frankwimberly My scientific publications: https://www.researchgate.net/profile/Frank_Wimberly2 Phone (505) 670-9918 On Wed, Jan 2, 2019, 12:36 PM uǝlƃ ☣ <geprope...@gmail.com wrote: > Since one of my dead horses is artificial discretization, I've always > wondered what it's like to work in many-valued logics. So, proof by > contradiction would change from [not-true => false] to [not-0 => > {1,2,..,n}], assuming a discretized set of values {0..n}. But is there a > continuous "many valued" logic, where any proposition can be evaluated to > take on some sub-region of a continuous set? So, proof by contradiction > would become something like [not∈{-∞,0} => ∈{0+ε,∞}]? > > On 1/2/19 11:23 AM, Frank Wimberly wrote: > > p.s. Dropping the law of the excluded middle required giving up proof by > > contradiction. > > -- > ☣ uǝlƃ > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com > archives back to 2003: http://friam.471366.n2.nabble.com/ > FRIAM-COMIC <http://friam.471366.n2.nabble.com/FRIAM-COMIC> > http://friam-comic.blogspot.com/ by Dr. Strangelove >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives back to 2003: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
