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Deductive Logic by St. George William Joseph Stock
page 90 of 381 (23%)

301. The seventh represents the original O, in accordance with the
rule that 'All negative propositions distribute their predicate.'

302. Four new symbols are required, if the quantity of the predicate
as well as that of the subject be taken into account in the
classification of propositions. These have been supplied, somewhat
fancifully, as follows--

303. The first, 'All A is all B,' which distributes both subject and
predicate, has been called [upsilon], to mark its extreme
universality.

304. The fourth, 'No A is some B,' is contained in E, and has
therefore been denoted by the symbol [eta], to show its connection
with E.

305. The fifth, 'Some A is all B,' is the exact converse of the
second, 'All A is some B,' and has therefore been denoted by the
symbol [Upsilon], which resembles an inverted A.

306. The eighth is contained in O, as part in whole, and has
therefore had assigned to it the symbol [omega],

307. The attempt to take the predicate in extension, instead of, as
it should naturally be taken, in intension, leads to some curious
results. Let us take, for instance, the u proposition. Either the sign
of quantity 'all' must be understood as forming part of the predicate
or not. If it is not, then the u proposition 'All A is all B' seems
to contain within itself, not one proposition, but two, namely, 'All A
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