On The lies of Algebraic and Analytic Geometry

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>All non-zero zero-dimensional objects are the same size (e.g. )
Ok, I can get behind this, makes sense. This is basically saying all points are the same size, seems legit.
>1 in any dimension is equal to itself
Wait what? So you're saying a dot is the same size as a 1 unit length line which is the same size as 1 unit area square which is the same size as a 1 unit volume cube which is the same size as...
Picrel demonstrates the absurdity of the aforementioned point (or equivalently line, square, cube, etc. right?)
I thought lines were a collections of points;
I thought areas were a collections of lines;
I thought volumes were a collections of areas; . . .
If this is true, this implies that the number of dots that make up a square of area 1 is just 1! How the fuck does that make sense?
>muh fractions
Ok smart ass, then what the hell is a faction of a point?

Translating geometry into algebra was a mistake, Descartes et al. are hacks. This should have been obvious with calculus but the sophists pulled the wool over our eyes and now it's religious dogma.
And to think, they teach this shit to kids. How perverse. They taught this too me and I'm sad to say that I've believed in these lies for way too long, smdh.