perm filename SEMAA[1,JMC] blob
sn#005243 filedate 1970-01-09 generic text, type T, neo UTF8
00100 WHAT PROBLEMS SHOULD SEMANTICS TRY TO SOLVE?
00200
00300 In our view, semantics is concerned with the definition
00400 and properties of a function
00500 meaning(e,s)
00600 where %e% is an expression in some language and %s% is a
00700 situation. The set of expressions allowed and the set of
00800 situations in which their meanings are to be discussed must be
00900 decided before an attempt is made to give a definition.
01000
01100 In the well-studied case of functional calculus, the
01200 expressions are the well formed formulas (wffs), the situation
01300 is given by an interpretation of the free letters in
01400 the wffs as elements, predicates or functions, or
01500 functionals of higher order according to type. The rule
01600 that gives the truth value of a wff is defined pseudo-recursively
01650 and constitutes the semantics of the language.
01700 If the language includes terms as well as wffs, then certain