Siddhartha: I always thought of mathematical realism as given a particular set of axioms, theorems, and properties logically necessarily construct themselves by implication. But it seems you have something different in mind when you say, not merely the conditional statement. Do you think logical realism is different and sidesteps the issues with mathematical realism you mentioned in your paper? Well, so this is referring to a paper that I put online recently. You can find it by Googling Reality Realism or my name or anything like that. It was in response to the book Morality in Mathematics by Justin Clark-Done.