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Medieval philosophers argued, by Reid's account, that a universal exists independently of individual things.
Since all the three conclusions C1, C2 and C3 are rejected, the initial thesis T ('the universal exists') is also rejected.
These two concepts, the wholes and universals, were generally analysed in India jointly as two aspects of the same problem: just as the whole exists (or does not exist) through its parts, in the very same way also the universal exists (or does not exist) through its particulars.
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Roscelin was a nominalist who asserted that universals are nothing more than mere words; Guillaume in Paris upheld a form of Platonic realism according to which universals exist.
Plato's pupil Aristotle reacted against the extreme realism which he took Plato to be endorsing: the thesis of universalia ante res (Latin: "universals before things"), according to which universals exist in their own right, prior to and independently of their instantiation by sensible particulars.
Where do universals exist?
Can universals exist without being instantiated?
According to Nyāya-Vaiśeṣika, universals exist in this very world of ours.
In accordance with Aristotle, Philoponus claims that universals exist only in the mind.
To maintain that universals exist in their instances is to maintain an in re realism about universals.
If universals exist outside their instances then it is plausible to suppose that they exist outside space and time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com