Boethius, in his commentaries on the aforementioned translation, says that a universal, if it were to exist has to apply to several particulars entirely. He also specifies that they apply simultaneously at once and not in a temporal succession. He reasons that they cannot be mind-independent, i.e. they do not have a real existence, because a quality cannot be both one thing and common to many particulars in such a way that it forms part of a particular's substance, as it would then be partaking of universality and particularity. However, he also says that universals can't also be of the mind since a mental construct of a quality is an abstraction and understanding of something outside of the mind. He concludes that this representation is either a true understanding of the quality, in which case we revert to the earlier problem faced by those who believe universals are real. Conversely, if the mental abstractions were not a true understanding, then 'what is understood otherwise than the thing is false'.