Semantics: a coursebook, second edition



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semantics

Yes / No
Feedback
(1) Yes (2) Yes (3) Yes (4) No
Comment The idea of de
fining predicates by sets of necessary and sufficient conditions
can be evaluated from a practical point of view. The parallel with the
undecidability of extensions is very close. Just as in a large number of cases
it is implausible to postulate the existence of perfectly clearly de
fined sets of
things, such as the set of all cats, the set of all tables, etc., so too the idea
that there could be satisfactory de
finitions in the form of sets of necessary
and su
fficient conditions for such predicates as cattable, etc. is clearly
misguided.
One of the best-known arguments (by the philosopher Ludwig
Wittgenstein) against the idea that de
finitions of the meanings of words can
be given in the form of sets of necessary and su
fficient conditions involves
the word game.
Practice Given below are two de
finitions of the word game, taken from dictionaries of
modern English. For each de
finition, give, if possible, (a) the name of at least
one game (e.g. footballchess) not covered by the de
finition, and (b) at least
one thing that is not a game (e.g. piano-playing, watching television) but
which falls within the given de
finition.
(1) An amusement or diversion
(a) ...............................................
(b) ...............................................
(2) A contest, physical or mental, according to set rules, undertaken for
amusement or for a stake
(a) ...............................................
(b) ...............................................


U N I T   9
Sense properties and stereotypes
101
Feedback
(1) (a) We can think of no examples of games which are not amusements 
or diversions. (b) piano-playing, watching television,
fishing, embroidery
(2) (a) cat’s-cradle (not a contest), patience or solitaire (also not contests,
except in a vacuous sense) (b) a 100-metre footrace, high-jump, pole-vault
(such events are not normally called ‘games’ but rather ‘races’, ‘contests’, or
‘competitions’), musical competitions
Comment Wittgenstein’s example of game cuts both ways. On the one hand, one must
admit that a set of necessary and su
fficient conditions for game to cover all
eventualities (including games played in the past and games yet to be
invented) cannot be given. On the other hand, one has to admit that some of
the de
finitions offered by dictionaries, while imperfect, do cover a large
number of cases, and are in fact helpful.
It is possible to give at least some necessary and/or su
fficient conditions for
all predicates in a language. If there were a predicate for which we could give
no necessary or su
fficient condition, we would have to admit that we literally
had no idea what it meant.
Practice (1) Is the sense of activity a necessary part of the sense 
of game (i.e. must something be an activity to be a game)?
Yes / No
(2) Is the sense of game a necessary part of the sense of
tennis (i.e. must some activity be a game to be tennis)?
Yes / No
(3) Is the sense of chess a su
fficient part of the sense of game
(i.e. is the fact that something is chess su
fficient evidence 
to call it a game)?
Yes / No
(4) A witty literary lady coined the memorable sentence,
A rose is a rose is a rose, implying that de
finition could 
go no further. One can actually go at least a little further.
Is the sense of
flower a necessary part of the sense of rose?

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