I took a shortcut when typing that, quoting the OP instead of further explaining. It is definitely possible to visualize 4 datapoints, but not 4 spatial dimensions. The only way to do so is to project to lower dimensions or take a lower dimension slice and display that. That works for 2D slices/projections of 3D objects because we already have a full understanding of 3D. It does not work for 2D projections of 4D objects, similar to how “flatlanders” couldn’t make sense of a 2D or 1D projection of a 3D object.
I took a shortcut when typing that, quoting the OP instead of further explaining. It is definitely possible to visualize 4 datapoints, but not 4 spatial dimensions. The only way to do so is to project to lower dimensions or take a lower dimension slice and display that. That works for 2D slices/projections of 3D objects because we already have a full understanding of 3D. It does not work for 2D projections of 4D objects, similar to how “flatlanders” couldn’t make sense of a 2D or 1D projection of a 3D object.
I see. Yeah, obviously the world only has 3 spatial dimensions, so you can’t represent 4D data spatially.
My general point is that we have additional senses that we can use to represent additional dimensions. And that totally counts as “visualization”.