Ars Combinatoria
Ars Combinatoria
(Leibniz) An art or technique of deriving or inventing complex concepts by a combination of a relatively few simple ones taken as primitive. This technique was proposed as a valuable subject for study by Leibniz in De Arte Combinatoria (1666) but was never greatly developed by him. Leibniz’s program for logic consisted of two main projects(1) the development of a universal characteristic (characteristica universalis), and (2) the development of a universal mathematics (mathesis universalis (q.v.). The universal characteristic was to be a universal language for scientists and philosophers. With a relatively few basic symbols for the ultimately simple ideas, and a suitable technique for constructing compound ideas out of the simple ones, Leibniz thought that a language could be constructed which would be much more efficient for reasoning and for communication than the vague, complicated, and more or less parochial languages then available. This language would be completely universal in the sense that all scientific and philosophical concepts could be expressed in it, and also in that it would enable scholars m all countries to communicate over the barriers of their vernacular tongues. Leibniz’s proposals in this matter, and what work he did on it, are the grand predecessors of a vast amount of research which has been done in the last hundred years on the techniques of language construction, and specifically on the invention of formal rules and procedures for introducing new terms into a language on the basis of terms already present, the general project of constructing a unified language for science and philosophy. L. Couturat, La Logique de Leibniz, Paris, 1901; C. I. Lewis, A Survey of Symbolic Logic, Berkeley, 1918. — F.L.W.