Chapter III: Propositions of Relation

§ 1.

_Introductory._

'=Proposition of Relation=' 12

'=Universe of Discourse=,' or '=Univ.=' "

§ 2.

_Reduction of a Proposition of Relation to Normal form._

Rules 13

Examples worked "

§ 3.

_A Proposition of Relation, beginning with "All", is a Double Proposition._

Its equivalence to _two_ Propositions 17

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§ 4.

_What is implied, in a Proposition of Relation, as to the Reality of its Terms?_

Propositions beginning with "Some" 19

" " "No" "

" " "All" "

§ 5.

_Translation of a Proposition of Relation into one or more Propositions of Existence._

Rules 20

Examples worked "

=BOOK III.=

=THE BILITERAL DIAGRAM.=

CHAPTER I.

_SYMBOLS AND CELLS._

The Diagram assigned to a certain Set of Things, viz. our Univ. 22

Univ. divided into 'the x-Class' and 'the x'-Class' 23

The North and South Halves assigned to these two Classes "

The x-Class subdivided into 'the xy-Class' and 'the xy'-Class' "

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

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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 "