If information has no innate geometric or dimensional extent...

Yaakov

Joined Jan 27, 2019
2,894
What the hell is the Cartesian plane about?

Serious question.
Dimensionality can be translated into space but doesn’t require it. We map things in 2- and 3D to help us visualize them but that’s a isomorphic translation into space not a revelation of their nature.
 

Thread Starter

Jennifer Solomon

Joined Mar 20, 2017
24
Dimensionality can be translated into space but doesn’t require it. We map things in 2- and 3D to help us visualize them but that’s a isomorphic translation into space not a revelation of their nature.
Thanks for the reply. “Their” in “their nature“ being what exactly?
 

Yaakov

Joined Jan 27, 2019
2,894
Thanks for the reply. “Their” in “their nature“ being what exactly?
I don't have a ToE to fall back on but roughly those phenomena we choose to isolate as "important". We arbitrarily extract "useful" pieces of what we can sense and consider "them" individually. Ideally, we would understand the whole, but in practice, it is various pieces we carve out because of how our brains operate that we consider, and map onto our experience, which includes space and time, 3D and a flow.
 

bogosort

Joined Sep 24, 2011
622
What the hell is the Cartesian plane about?

Serious question.
Hi JS! Not sure what you're actually asking, but the Cartesian plane is a geometrical object. Specifically, it is the Euclidean vector space \(\mathbb{R} \times \mathbb{R}\) of dimension two.

Needless to say, such a thing isn't a physical object in the usual sense of the word.
 
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