An interesting piece written by a psychologist who understands that people have an imprecise view of the world both because of our limited senses as well as because those senses are processed and interpreted by multiple systems in the brain that adds to imprecision.
Epistemology is the branch of philosophy that deals with how we know what we know. Part of that study involves the use of empirical and rational belief. Science uses a synthesis of both with the use of mathematics and an important descriptive tool. One must have faith that the way science uses descriptors and rational process give the best description of reality. By a best description we mean that it allow explanation and prediction better than other systems which people use to believe what is real.
Individuals have their own reality but what must happen in a society needs to be a decision about what perception of reality best serves the interests of that society.  The criterion for society should be the best solutions.