A basic lack of understanding in the book "True and Unstable"

Hello Rabbi,
I have already read parts 1-4 of your book, True and Unstable,
You argue there that in order to solve the basic questions of how we can understand the world, etc., we need to come to the understanding that we have intuition and that there is no reason to reject it anyway, that truth is not necessarily logical proof but rather reasonableness, etc., etc….
But I didn't understand one small thing: how does intuition have the power to identify things that are external to us – for example, in nature?! Or is there a concept of induction?
You repeat there that this is a kind of intellectual recognition. But are they things that the mind rejects and that the mind has eyes towards the outside? How can the mind understand that there is a principle of induction? After all, it is not always alive! The only possible argument, as far as I understand, is to claim that it 'sees' the idea of ​​the operating instructions of the universe, but clearly this is an answer that raises a slight laugh.
I would be happy if the Rabbi would explain this basic point.