[tremens]

> Piaget’s theory formulates a peculiarly inverted version of Ernst Haeckel’s biogenetic law that unites historical phylogeny and mental ontogeny in a recursive Möbius-band-like figure.

Individual development (ontogeny) restates historical evolution (phylogeny). Haeckel’s biogenetic law says that as an embryo develops it will pass through its past historical states as a species. It's a long discredited 19th century scientific hypothesis.

Inverting the relationship would state that historical evolution is restating individual development OR in the other sense of inverting, they move in the opposite order to one another (Mathematicians: Euclid -> Topology, Kids: Topology -> Euclid).

Basically, kids build up knowledge of topology from everyday interaction with the world and then move onto Euclidean shapes with the knowledge of topology.

Mathematicians discovered it all in the opposite order, starting with Euclidean geometry and only later documenting topology.

[Singletoned]

Thanks. That seems a lot more understandable.