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PROTOTYPES AND CATEGORIES 19

that at some unspecified point or area beyond their periphery the categories

somehow fade into nowhere. This is not the idea we have when we talk

about categories in a naive way. Normally, we tend to imagine them as boxes,

drawers or some sort of fenced compound – certainly as something which

has boundaries. With regard to the category BIRD, the allocation of boundaries

seems to be easy enough, even though a little knowledge of zoology

might be required.

Yet our confidence will be undermined when we follow the philosopher

Max Black and consider the imaginary ‘chair museum’ he invented. According

to Black it consists of

a series of ‘chairs’ differing in quality by least noticeable amounts. At one

end of a long line, containing perhaps thousands of exhibits, might be a

Chippendale chair: at the other, a small nondescript lump of wood. Any

‘normal’ observer inspecting the series finds extreme difficulty in ‘drawing the

line’ between chair and non-chair. (Black 1949: 32)

What Black’s interpretation of his chair museum suggests is that the collection

of chairs could and should be regarded as a continuum with a kind

of transition zone between chairs and non-chairs but no clear-cut boundaries.

This view seems to be in conflict with what we observed at the beginning

of the chapter: that concrete objects like houses, books and also chairs

are clearly delimited and easy to identify, and that vague boundaries and

transition zones are restricted to items like knees, fog and valleys and to

scales like length, temperature and colour.

Here one must be careful not to confuse two different types of boundaries

and transition zones. One type of transition zone arises from the observation

that some concrete entities do not have clear-cut boundaries in reality –

this is the case with knee and other body parts; it applies to fog, snow and

similar weather phenomena and to landscape forms like valley or mountain.

In Black’s chair museum, however, the visitor is confronted with a different

type of transition zone, since each exhibit in the museum is an entity

with absolutely clear boundaries. In the chair museum, it is not entities that

merge into each other, but categories of entities, and these categories are the

product of cognitive classification. Consequently, it is not the boundaries of

entities that are vague, but the boundaries of these cognitive categories (here:

chairs and non-chairs). To distinguish the two types of vagueness we will

restrict the terms ‘vague entity’ and ‘vagueness’ to the first type (knee, fog,

valley) and use ‘fuzzy category boundaries’ or fuzziness for the second, i.e.

for the category boundaries of CHAIR etc.

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