In a sense mathematics is quite objective: the same deductions can become known to everyone who starts with the same axioms and definitions; the same… - Rudy Rucker

In more familiar terms, it is not hard to prove that God is infinite ... but what if you don’t believe that God exists? It may seem hard to doubt that the more impersonal Absolutes–such as “everything,” or the Mindscape–exist, but there are those who do doubt this. The issue under consideration is a version of the old philosophical problem of the One and the Many. What is being asked is whether the cosmos exists as an organic One, or merely as a Many with no essential coherence.
It is certainly true that the Mindscape, for instance, does not exist as a single rational thought. For if the Mindscape is a One, then it is a member of itself, and thus can only be known through a flash of mystical vision. No rational thought is a member of itself, so no rational thought could tie the Mindscape into a One.

In one of our conversations I pressed Gödel to explain what he meant by the “other relation to reality” by which he said one could directly see mathematical objects. He made the point that the same possibilities of thought are open to everyone, so that we can take the world of possible forms as objective and absolute. Possibility is observer-independent, and therefore real, because it is not subject to our will.

The matter of color is more confusing. Not every property of a system can be stated as a definite spatio-temporal state of affairs. A system's tendency, for instance, to move from State A to State B, but not from State B to State A . . . a tendency like this is not any specific event which you can point to in space and time. These nonspecific properties correspond to overall gestalts in the Hilbert Space coloring. Alternating bands of red and green light might, for example, represent a particle which is moving from left to right but which has no specific location. A good mood could be a golden haze not tied to any particular cause.