[Logic by Carveth Read]@TWC D-Link book
Logic

CHAPTER IV
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However, we may increase the _known_ denotation without decreasing the connotation, if we can discover the full connotation in things not formerly supposed to have it, as when dolphins were discovered to be mammals; or if we can impose the requisite qualities upon new individuals, as when by annexing some millions of Africans we extend the denotation of 'British subject' without altering its connotation.
Many of the things noticed in this chapter, especially in this section and the preceding, will be discussed at greater length in the chapters on Classification and Definition.
Sec.7.Contradictory Relative Terms .-- Every term has, or may have, another corresponding with it in such a way that, whatever differential qualities (Sec.

5) it connotes, this other connotes merely their absence; so that one or the other is always formally predicable of any Subject, but both these terms are never predicable of the same Subject in the same relation: such pairs of terms are called Contradictories.

Whatever Subject we take, it is either visible or invisible, but not both; either human or non-human, but not both.
This at least is true formally, though in practice we should think ourselves trifled with if any one told us that 'A mountain is either human or non-human, but not both.' It is symbolic terms, such as X and x, that are properly said to be contradictories in relation to any subject whatever, S or M.For, as we have seen, the ordinary use of terms is limited by some _suppositio_, and this is true of Contradictories.

'Human' and 'non-human' may refer to zoological classification, or to the scope of physical, mental, or moral powers--as if we ask whether to flourish a dumbbell of a ton weight, or to know the future by intuition, or impeccability, be human or non-human.

Similarly, 'visible' and 'invisible' refer either to the power of emitting or reflecting light, so that the words have no hold upon a sound or a scent, or else to power of vision and such qualifications as 'with the naked eye' or 'with a microscope.' Again, the above definition of Contradictories tells us that they cannot be predicated of the same Subject "in the same relation"; that is, at the same time or place, or under the same conditions.


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