Thanks. It sounds like you spent a lot of time in Western philosophy and paradigms of thought. These themes you describe are basically the complete substance of Buddhism's various formulations and indeed most "Eastern" religions. Though you are not using the forms of description employed in the East, you are approaching the same ideas.
As a relevant example, consider the yin/yang symbol. It is composed of a duality which at first glance seems mutually exclusive, but what is most interesting about the two is actually where they interact. The paradox is that one cannot exist at the same (space-)time as the other, but each requires the other's existence to fully specify itself in terms of a cohesive concept. The light and dark sides are descriptors of two sides of the same coin. Finding the way to conceptualize that coin, rather than its sides, leads you to paradox that paradoxically makes sense! Just goes to show how "rationality" in the Greco-Roman sense is just one way to conceptualize our understanding, and that there are more ways than that.
We understand reality through language primarily built on identifying by what things are and what things are not. But maybe this form of understanding is limiting because it pre-supposes those dualities that make the language work.
To your point about coordinate systems -- there's something to be said about the ability to rationalize our sensory experiences into a formal logical system of description. However the paradox is actually that neither of those coordinate systems are "canonical" in the universal (literally and metaphorically) sense. They are first-order approximations to make our methods of reasoning (i.e., math) easier. But they do not reflect reality because, if you take the dominant theories of physics as true, the idea of space with curvature 0 or curvature +1 is a platonic ideal that cannot exist because matter and energy are distributed inhomogenously throughout space and time.
As a relevant example, consider the yin/yang symbol. It is composed of a duality which at first glance seems mutually exclusive, but what is most interesting about the two is actually where they interact. The paradox is that one cannot exist at the same (space-)time as the other, but each requires the other's existence to fully specify itself in terms of a cohesive concept. The light and dark sides are descriptors of two sides of the same coin. Finding the way to conceptualize that coin, rather than its sides, leads you to paradox that paradoxically makes sense! Just goes to show how "rationality" in the Greco-Roman sense is just one way to conceptualize our understanding, and that there are more ways than that.
We understand reality through language primarily built on identifying by what things are and what things are not. But maybe this form of understanding is limiting because it pre-supposes those dualities that make the language work.
To your point about coordinate systems -- there's something to be said about the ability to rationalize our sensory experiences into a formal logical system of description. However the paradox is actually that neither of those coordinate systems are "canonical" in the universal (literally and metaphorically) sense. They are first-order approximations to make our methods of reasoning (i.e., math) easier. But they do not reflect reality because, if you take the dominant theories of physics as true, the idea of space with curvature 0 or curvature +1 is a platonic ideal that cannot exist because matter and energy are distributed inhomogenously throughout space and time.