The North-West and North-East Cells assigned to these two Classes " The x'-Class similarly divided " The South-West and South-East Cells similarly assigned " The West and East Halves have thus been assigned to 'the y-Class' and 'the y'-Class' 24 =Table I.= Attributes of Classes, and Compartments, or Cells, assigned to them 25 pg-xx CHAPTER II. _COUNTERS._ Meaning of a Red Counter placed in a Cell 26 " " " " on a Partition " American phrase "=sitting on the fence=" " Meaning of a Grey Counter placed in a Cell " CHAPTER III. _REPRESENTATION OF PROPOSITIONS._ § 1. _Introductory._ The word "Things" to be henceforwards omitted 27 '=Uniliteral=' Proposition " '=Biliteral=' do. " Proposition '=in terms of=' certain Letters " § 2. _Representation of Propositions of Existence._ The Proposition "Some x exist" 28 Three other similar Propositions " The Proposition "No x exist" " Three other similar Propositions 29 The Proposition "Some xy exist" " Three other similar Propositions " The Proposition "No xy exist" " Three other similar Propositions " The Proposition "No x exist" is _Double_, and is equivalent to the two Propositions "No xy exist" and "No xy' exist" 30 pg-xxi § 3. _Representation of Propositions of Relations._ The Proposition "Some x are y" " Three other similar Propositions " The Proposition "Some y are x" 31 Three other similar Propositions " Trio of equivalent Propositions, viz. "Some xy exist" = "Some x are y" = "Some y are x" " '=Converse=' Propositions, and '=Conversion=' " Three other similar Trios 32 The Proposition "No x are y" " Three other similar Propositions " The Proposition "No y are x" " Three other similar Propositions " Trio of equivalent Propositions, viz. "No xy exist" = "No x are y" = "No y are x" 33