Here atomic means that objects can be denoted with a finite set of predicates all of whose objects exist (ie you have proximal relationship with) [0]. This is a

Here atomic means that objects can be denoted with a finite set of predicates all of whose objects exist (ie you have proximal relationship with) [0]. This is as opposed to objects that subsist (eg everything that is abstract) [1] Symbols (words) can point to different objects depending on context (what you call words having multiple meanings), this has nothing to do with logical atomism. The point of logical atomism (and as it turns out this is not a complete picture) was that a particular meaning of the word can be described unambiguously (in the sense of using entirely existing objects). This discussion is largely language agnostic (in a sense that I think every natural human language supports it). [0] https://plato.stanford.edu/entries/logical-atomism/ https://plato.stanford.edu/entries/logical-atomism/ [1] https://plato.stanford.edu/entries/possible-objects/ https://plato.stanford.edu/entries/possible-objects/