66

Examples worked briefly, as models "

pg-xxvi
=BOOK VI.=

=THE METHOD OF SUBSCRIPTS.=

CHAPTER I.

_INTRODUCTORY._

Meaning of x_{1}, xy_{1}, &c. 70

'=Entity=' "

Meaning of x_{0}, xy_{0}, &c. "

'=Nullity=' "

The Symbols "+" and ">" "

'=Like=' and '=unlike=' Signs "

CHAPTER II.

_REPRESENTATION OF PROPOSITIONS OF RELATION._

The Pair of Converse Propositions
"Some x are y" = "Some y are x" 71

Three other similar Pairs "

The Pair of Converse Propositions
"No x are y" = "No y are x" "

Three other similar Pairs "

The Proposition "All x are y" 72

The Proposition "All x are y" is _Double_,
and is equivalent to the two Propositions "Some x
exist" and "No x and y'" "

Seven other similar Propositions "

Rule for translating "All x are y" from abstract
into subscript form, and _vice versa_ "

pg-xxvii
CHAPTER III.

_SYLLOGISMS._

Sec. 1.

_Representation of Syllogisms._

Rules 73

Sec. 2.

_Formulae for Syllogisms._

Three Formulae worked out:--

Fig. I. xm_{0} + ym'_{0} > xy_{0} 75

its two Variants (a) and (b) "

Fig. II. xm_{0} + ym_{1} > x'y_{1} 76

Fig. III. xm_{0} + ym_{0} + m_{1} > x'y'_{1} 77

=Table IX.= Formulae and Rules 78

Examples worked briefly, as models "

Sec. 3.

_Fallacies._

'=Fallacy=' 81

Method of finding Forms of Fallacies 82

Forms best stated in _words_ "

Thr