92 Wisconsin Academy of Sciences, Arts, and Letters. 
transposition of successive sound-intensities from strong and 
weak to weak and strong—affords a hint of changed relation 
quite as plain as language often condescends to give for any 
purpose; and interchange of pitch between the verbal front and 
rear, or of the quality of consonants or vowels would he hardly 
less effective. 
To illustrate these three possibilities in turn, of “correct” 
tacked 
the passive might he “correct”; of “(He) at- (me)” the 
(“I) (him)*”. 
passive might he at- Of “Confuse” the 
tacked 
passive might be “Confuse.” Of “Push” the passive might be 
“Fus,” such aspiration-shifting being quite a favorite in older 
languages. 
The interchange of syllables or single sounds, and other 
possible means of indicating the reversal of relation I neglect, 
except the simplest and most natural of all—inversion. Of 
this in mathematical (notation everyone makes use. Given 
thought expressed by A > B, if now I begin my thought with 
B, I indicate the further, indispensable reversal of relation by 
replacing > by <. That is, I reverse or invert the relation 
sign—or, so to speak, I spell the inequality symbol backward. 
And so, instead of saying “The burglars daily rob our houses,” 
if I wished to start with “houses,” not however changing the 
essential value of my statement, I might indicate the further, 
indispensable reversal of relation by the simple change of “rob” 
to “bor,” as in “Our houses bor the burglars,”—that is, in this 
case also, by inverting the relation sign. 
The fact, however, that verbs are for the most part ill-adapted 
to a backward utterance or spelling, would restrict the avail¬ 
ability of this mode of symbolizing. As moreover this and other 
possible modes of symbolizing are, so far as I have noticed, 
either possible only, or at most occasional, I neglect them all 
in favor of the constantly occurring, actual means. 
* (This latter uttered with the well-known Anglo-Irish dip and 
lift). 
