Even from a more limited viewpoint, it seems that once we have enough set theory to give us ordered pairs of integers and the ability to define (R), we get the partition it induces as well.
A central, limited viewpoint gave way to diffused "democratic" perspectives.
Historical facts show that the meanings of words, in scientific as well as non-scientific language, are always flexible, never precisely precise, always somewhat vague, always changing… words have precise meanings only from the limited viewpoint of a fixed now and a single user.
But the great philosophers — Plato, Aristotle, Hume, Spinoza, Hegel, Nietzsche — describe moral experiences far more carefully and subtly than most of us can, and moreover, they provide historical perspectives that can help offset the limitations of our own limited viewpoint.
To characterize a culture from a limited, stereotypical viewpoint is likely to lead to an inaccurate understanding of culture.
"As filmmakers, we knew there was more to Koreans than the limited viewpoint we have access to in the West," he said.
But it also seems, from our limited viewpoint, that God would not permit things like the Holocaust or the death of innocent children from painful diseases.
These include the idea of cognitive progress, which presupposes a benchmark of complete understanding; cognitive completion, which unites the separate strands of our understanding (from the laws of nature to our ineluctable everyday understanding of things, incorporating the meanings we live by); and the knowing subject us with our partial and limited viewpoint mediated by our bodies.
