Abstract
Starting from two propositions, 1. The observer is part of reality and 2. Observers are independent of each other, we develop an approach to Hume’s problem of scepticism. We show that despite all knowledge coming through subjective perceptions we can nevertheless construct objective or transitive knowledge through relationships between entities, rather than the entities themselves. We posited that some phenomena of the real world are transitive and some are not. Transitive phenomena are transferable between observers without change and are thus independent of observation. Transitive phenomena are relative quantities. Relative quantities are observational invariants and form the building blocks of our objective world. We show objective knowledge is developed from relative quantities whereas subjective knowledge is rooted in absolute quantities. The recognition that transitive quantities are invariants of observation gives them an independence from which we can construct an objective world