suppose there was a system that only told the truth. Then that system would seemingly lie because, for any complicated enough system, there are true statements

suppose there was a system that only told the truth. Then that system would seemingly lie because, for any complicated enough system, there are true statements that cannot be justified. That is to say, to our best knowledge humans have no purely logical way of knowing truth ourselves. Human truth seems intrinsically connected to humanity and lived experience with logic being a minor offshoot