Abstract

Meinong's thought is considered in relation to several major conceptual problems, including the Frege-Russell thesis that words like is are multiply ambiguos and Aristotle's treatment of existence. This treatment leads to a problem of how to interpret quantifiers. The three main possible interpretations are: (i) quantifiers as ranging over actual individuals (or individuals existing in some one world); (ii) quantifiers as ranging over a set of possible individuals; (iii) quantifiers merely as a way of specifying the interdependencies of the concepts (forms) specified by syllogistic terms. The subsequent history of philosophers' and logicians' treatments of existence is characterized by a tension between (i)-(iii). Meinong's position is in the main (iii) whereas Russell in his On Denoting defended (i). The contrast between (i) and (iii) has a counterpart in nineteenth-century discussions about foundations of mathematics.