This book is a collection of studies applying game-theoretical concepts and
ideas to analysing the semantics of natural language and some formal
languages. The bulk of the book consists of several papers by Hintikka,
Carlson and Saarinen and discusses several of the central problems of the
semantics of natural language.
The topics covered are the semantics of natural language quantifiers,
conditionals, pronouns and anaphora more generally. Hintikka's famous essay
presenting examples of 'branching quantifier structures' in English, as
well as one formulating his 'any-every thesis', are included. The book also
includes Hintikka's closely argued philosophical discussion of the
relationships between the new semantical games with the language games of
Wittgenstein. Other papers apply the game-theoretical approach to formal
languages including tense logics and tense anaphora (Saarinen), deontic
logic and Ross' paradox (Hintikka), and usual predicate logic (Rantala).
The latter amounts to an explication of the 'impossible possible' worlds as
is shown in Hintikka's concluding paper.