A Note on the Ontology of Mathematics.

Provocation behind writing this paper has come from celebrated French philosopher Alain Badiou’s slogan “Mathematics is ontology” and subsequent reading of his book [2]. However, this is not a critique of the book or a response to his philosophy. Some philosophico-mathematical issues have been raised by the author of the book in order to clarify and establish the slogan. In this paper, responses to some such issues have been presented such as the issues of continuum, Continuum Hypothesis, constructible sets and Axiom of Foundation. Remarks on these issues are made, though in brief. Finally, it is remarked that in the present era ontology of mathematics has to be pluralistic and inconsistency-tolerant.