Variations on implication
Lulu of the Lotus-Eaters
mertz at gnosis.cx
Wed Feb 12 13:17:49 EST 2003
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Wed Feb 12 13:17:49 EST 2003
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|> Paul Rubin wrote: |> > => is the traditional mathematical symbol for boolean implication. |> > -> looks more to me like some kind of pointer operation. But either |> > one is ok with me for this. Michael Hudson <mwh at python.net> wrote previously: |In which context? In my world, => is implication. It's even |$\implies$ in LaTeX, I think. -> is often used to denote a map. FWIW, my math background is primarily in logic, model theory, and set theory. In those contexts, there is often a convention of using the single line "->" for syntactic implication, i.e. predicate logic. The double line "=>" is reserved for semantic implication. So you might write (in a simple case): A -> B B -> C => A -> C Or: given the predicates "A implies B" and "B implies C", you are authorized to derive the predicate "A implies C" (syllogism). Yours, Lulu... -- ---[ to our friends at TLAs (spread the word) ]-------------------------- Echelon North Korea Nazi cracking spy smuggle Columbia fissionable Stego White Water strategic Clinton Delta Force militia TEMPEST Libya Mossad ---[ Postmodern Enterprises <mertz at gnosis.cx> ]--------------------------
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