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” 836° A. Mac Whorter on the Divisibility of Magnitude 
Now since to divide means to distinguish, when mere objects: of 
thought ave spoken of; in answer to the third inquiry it appears, 
that to divide a magnitude represented by a line, at a mathemat-~ 
ical point, means,—to distinguish one magnitu e viewed as a 
mere object of thought from another magnitude viewed. as a mere 
hought, by the notion of limitation, as the differentia ;— 
then, to represent this distinction by thedivision of an actual” 
cand vibes line. Thus, let any two magnitudes be conceived, 
1d let them be made distinct objects of thought ; each object is 
“distinguished from the other by being conceived to be just what 
ait i, as an object of thought, and, at the same time, being con- 
ived to be NoT THE OTHER ‘object. Now this mode of distin- 
as any two conceptions of magnitude can be formed, 
ch is not the other, that is, can be repeated indefinitely ; 
and this distinction stg objects of thought can be represent 
by the division of actual lines ;—this difference between these 
oie being simply numerical as mere objects of thought, hav- 
n sno real or substantial existence. So that in this sense, mag- 
n 
enotes ‘merely the object of an abstract general concep- 
This object is also a mere object of thought, 
Ds ‘ 
u then extension be divided by that which has ‘no extension, 
nd magnitude be diminished by that which has no ‘magnitude ? 
l inly, to divide means to distinguish, when mere objects of 
ré n nist. be 
nitud rhich, 
