Sure, but it is not because we routinely believe other people have a mind that other people a have mind.

We are logical being and logic in itself doesn't prove anything true. What it does is prove that IF premises are true, then the conclusion is true. And how do we know that the premises are true? All we can do is make up another set of premises to prove the first ones. And we thereby go into infinite regress. This is why we don't know the material world. We can only believe on the basis of the premises we happen to believe, i.e. our perception. This is the same in mathematics. People keep saying I know this, I know that, of course they will, if they didn't they wouldn't get a job or a flirt or the bowl of beans. We are good pretenders and we all do it.

EB