Actual Infinities

[Mudhammam]

Isn't there a third possibility - that the objects (the world) indeed exist outside of the mind, but are not in their nature the same as the representations of them in our minds - e.g. they may inspire logic and reason, because evolutionarily, logic and reason are successful strategies for interacting with them - but that does not mean that they themselves possess some sort of exact templates for logic and reason?

Yes, that would sound to me to be very similar to the agnosticism of Kant. Then, are we left with something like John Wheeler's view that the history of life and the universe, as understood by modern science, is in some manner reverse causation effected by the conscious mind? I think for myself I'd rather just confess that I don't really understand the nature of abstract objects, principles, universals, etc. :-P