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Quantifiers as Generalized && and ||

  • To: mathgroup at smc.vnet.net
  • Subject: [mg67698] Quantifiers as Generalized && and ||
  • From: "Steven T. Hatton" <hattons at globalsymmetry.com>
  • Date: Wed, 5 Jul 2006 04:17:26 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

I'm strictly interested in the ability to use this in text, not in code to
be evaluated.  Behnke et al use a generalization of "\[And]" and "\[Or]"
for the universal and existential quantifiers.  This is the idea:

Cell[BoxData[
    RowBox[{
      RowBox[{"\[ForAll]", 
        RowBox[{"x", "\[Congruent]"}]}], 
      UnderscriptBox["\[And]", "x"]}]], "Input"]

Cell[BoxData[
    RowBox[{
      RowBox[{"\[Exists]", 
        RowBox[{"x", "\[Congruent]"}]}], 
      UnderscriptBox["\[Or]", "x"]}]], "Input"]

The difference between what Mathematica gives us and what Behnke et al give
us is that their generalized && and || symbols are "upper case" versions of
the binary versions.  Is does Mathematica provide such symbols?


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