·-------------------------------------------------------------· | | ·-------· | | ·-------· | | No xy exist | |( )| | | | |(.)| | | |  = No x are y | |---|---| | All y are x | |---|---| | |  = No y are x | | | | | | |( )| | | | | ·-------· | | ·-------· | |------------------|-----------|------------------|-----------| | | ·-------· | | ·-------· | | No xy' exist | | |( )| | | |( )| | | |  = No x are y' | |---|---| | All y are x' | |---|---| | |  = No y' are x | | | | | | |(.)| | | | | ·-------· | | ·-------· | |------------------|-----------|------------------|-----------| | | ·-------· | | ·-------· | | No x'y exist | | | | | | | |(.)| | |  = No x' are y | |---|---| | All y' are x | |---|---| | |  = No y are x' | |( )| | | | | |( )| | | | ·-------· | | ·-------· | |------------------|-----------|------------------|-----------| | | ·-------· | | ·-------· | | No x'y' exist | | | | | | | |( )| | |  = No x' are y' | |---|---| | All y' are x' | |---|---| | |  = No y' are x' | | |( )| | | | |(.)| | | | ·-------· | | ·-------· | ·-------------------------------------------------------------· ·-------------------------------------------------------------· | | ·-------· | | ·-------· | | | |(.)|(.)| | | |(.)| | | | Some x are y, | |---|---| | Some y are x | |---|---| | | and some are y' | | | | | and some are x' | |(.)| | | | | ·-------· | | ·-------· | |------------------|-----------|------------------|-----------| | | ·-------· | | ·-------· | | | | | | | | | |(.)| | | Some x' are y, | |---|---| | Some y' are x | |---|---| | | and some are y' | |(.)|(.)| | and some are x' | | |(.)| | | | ·-------· | | ·-------· | ·-------------------------------------------------------------· pg036 CHAPTER IV. _INTERPRETATION OF BILITERAL DIAGRAM WHEN MARKED WITH COUNTERS._ The Diagram is supposed to be set before us, with certain Counters placed upon it; and the problem is to find out what Proposition, or Propositions, the Counters represent.