Tuesday, June 11, 2013

Defining Connectives

NOT A PROPOSAL

Enact a new subrule of “Formulae” entitled “Connectives”:

All 16 truth functions in the table on this page are Connectives. The following are Standard Notations for the basic Connectives, whence the others may conveniently be specified. Where the Standard Notation is not given at all by Wikipedia, the Standard Notation is on the left and its notation is on the right:

  • F.p := p&~p
  • T.p := p|~p
  • p
  • ~p
  • p&q
  • p|q := p OR q
  • p->q := p→q
  • p<->q := p IFF q

A Protosal, if you will, for feedback before I can Propose. It does bug me that the - is just below the center of the >.

Comments

Fool:

11-06-2013 05:23:59 UTC

Maybe T.p should be p→p rather than p|~p ... you know ... :-)

Skju:

11-06-2013 05:30:59 UTC

Good point.

Skju:

11-06-2013 14:35:38 UTC

And what about p><q for XOR? I assume + would be confused with OR for some programmers?

Skju:

11-06-2013 14:45:38 UTC

Does anyone have any ideas for NAND or NOR, so that we would axiomatize one of those and derive the rest?