How much faith do you put in humanity's ability to invent its way out of any potential resource shortage?

No faith can truly be put in to a cornucopian idea or goal, this is due to the finite state of the universe, some things are renewable such as solar powered energy and wood or charcoal or crops and livestock but pure materials such as iron and coal and plutonium are not renewable and will eventually be used up, at that point the solar system will need to be traversed in order to gather resources, though some such as coal and oil will run out and not be able to be used again for thousands of years and so the focus should be on renewability and renewable or synthetic replacements for coal and oil.