ABSTRACT

Nonstandard analysis is a branch of mathematical logic that allows for the existence of “genuine infinitesimals”, which are numbers that are less than any real number but greater than 0. Robinson used the term “monad” in his nonstandard analysis to indicate a real standard number r and its epsilon neighborhood. I show that Robinson’s monad, like Husserl’s monad, is an epistemic unit that includes all its real and internal components. Each monad is distinct from every other monad and has “windows”. I also explain why the existence of monads in the nonstandard world entails an inter-monadic community for which the nonstandard world is an intersubjective and objective world.