ing enough time to walk to the station; x = needing
to run; y = these tourists.

m'x'_{0} + y_{1}m'_{0} do not come under any of the three Figures. Hence
it is necessary to return to the Method of Diagrams, as shown at p. 69.

Hence there is no Conclusion.

[Work Examples Sec. =4=, 12-20 (p. 100); Sec. =5=, 13-24 (pp. 101,
102); Sec. =6=, 1-6 (p. 106); Sec. =7=, 1-3 (pp. 107, 108). Also read
Note (A), at p. 164.]

pg081
Sec. 3.

_Fallacies._

Any argument which _deceives_ us, by seeming to prove what it does not
really prove, may be called a '=Fallacy=' (derived from the Latin verb
_fallo_ "I deceive"): but the particular kind, to be now discussed,
consists of a Pair of Propositions, which are proposed as the Premisses
of a Syllogism, but yield no Conclusion.

When each of the proposed Premisses is a Proposition in _I_, or _E_, or
_A_, (the only kinds with which we are now concerned,) the Fallacy may
be detected by the 'Method of Diagrams,' by simply setting them out on a
Triliteral Diagram, and observing that they yield no information which
can be transferred to the Biliteral Diagram.

But suppose we were working by the 'Method of _Subscripts_,' and had to
deal with a Pair of proposed Premisses, which happened to be a
'Fallacy,' how could we be certain that they would not yield any
Conclusion?

Our best plan is, I think, to deal with _Fallacies_ in the same was as
we have already dealt with _Syllogisms_: that is, to take certain forms
of Pairs of Propositions, and to work them out, once for all, on the
Triliteral Diagram, and ascertain that they yield _no_ Conclusion; and
then to record them, for future use, as _Formulae for Fallacies_, just as
we have already recorded our three _Formulae for Syllogisms_.
pg082
Now, if we were to record the two Sets of Formulae in the _same_ shape,
viz. by the Method of Subscripts, there would be considerable risk of
confusing the two kinds. Hence, in order to keep them distinct, I
propose to record the Formulae for _Fallacies_ in _words_, and to call
them "Forms" instead of "Formulae."

Let us now proceed to find, by the Method of Diagrams, three "Forms of
Fallacies," which we will then put on record for future use. They are as
follows:--

(1) Fallacy of Like Eliminands not asserted to exist.
(2) Fallacy of Unlike El