Simplicity. (English) Zbl 0669.03005

Pambuccian, Victor

Notre Dame J. Formal Logic 29, No. 3, 396-411 (1988).

This paper neatly summarises various results about the simplicity of axiomatisations or formal languages (in the sense in which theories are usually given by presenting a set of predicate (or relation) symbols and a set of function (or operation) symbols as the language of the theory). The paper cites various results about simplicity taken as syntactical, and presents a number of open problems about simplicity taken as semantical.

Reviewer: J.Mackenzie

MSC:

03A05

Philosophical and critical aspects of logic and foundations

Keywords:

elegance; simplicity; axiomatisations