Lexicon of Arguments

 

I 301
Def Scale Invariance/Thiel: Shape equality of all distances. Because of the scale invariance, the size statements of the geometry are always only those about proportions. But these have to be defined first with a form-theoretical approach. Especially the equality of size.
(FregeVs: first equality, then number).
Since we could explain geometric shape equality only after the determination of excellent shapes in protogeometry, the fitting equality does not provide the size equality (congruence) required in shape-theoretical geometry.
This can be defined differently, e.g. for distances by the possibility of connecting both by a sequence of symmetrical triangles.
>Self-similarity, >Congruence,