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And finally, Frege accuses Mill of overlooking that numbers can be predicated of both concrete and abstract objects (1884, 31).
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In one passage, he says that if one wants to prove α of γ syllogistically, one finds a middle β such that either α is predicated of β and β of γ (first figure), β is predicated of both α and γ (second figure), or else both α and γ are predicated of β (third figure).
Moreover, the definition of the differentia may be predicated of that of which the differentia itself is predicated.
The same distinction may be predicated of every other art as well as that of bookkeeping.
'Animal' is predicated of the species 'man', therefore of the individual man, for if there were no individual man of whom it could be predicated, it could not be predicated of the species 'man' at all.
Then C and D must be predicated of everything of which neither A nor B is predicated.
In these circumstances, the first notice was of no effect and no admission could be predicated of it.
The same distinction may be predicated of every other art as well as that of book-keeping.
If difference cannot be predicated of it, then consciousness is the only reality and anything different from it would be unreal.
What does Being mean?" If, in other words, there are many kinds of Being, or many senses in which existence may be predicated of a thing, what is the most-fundamental kind of Being, the kind that may be predicated of all things?
Now the same relation which subsists between primary substance and everything else subsists also between the species and the genus: for the species is to the genus as subject is to predicate, since the genus is predicated of the species, whereas the species cannot be predicated of the genus.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com