On Albert Lautman from nLab page : [Lautman influenced: Deleuze, Badiou, Fernando Zalamea, Jean Petito, David Corfield] “Lautman detects some specific features of advanced mathematics that are not given in elementary mathematics: a) the complex hierarchisation of various theories, irreducible to systems of intermediate deduction; b) the richness of the models, irreducible to linguistic manipulation; c) the unity of structural methods and of conceptual polarities, beyond the effective multiplicity of models; d) the dynamics of the creative activity, in a permanent back-and-forth between freedom and saturation, open to the Platonic division and the Platonic dialectic; e) the mathematically demonstrable relation between what is multiple on a given level and what is singular on another, through a sophisticated lattice of mixed ascents and descents. Lautman on the abstract world of mathematics and the sensible world of physics as both participating in the same dialectical structure.

On Albert Lautman from nLab page :
[Lautman influenced: Deleuze, Badiou, Fernando Zalamea, Jean Petito, David Corfield]
 
“Lautman detects some specific features of advanced mathematics that are not given in elementary mathematics:
 
a) the complex hierarchisation of various theories, irreducible to systems of intermediate deduction;
 
b) the richness of the models, irreducible to linguistic manipulation;
 
c) the unity of structural methods and of conceptual polarities, beyond the effective multiplicity of models;
 
d) the dynamics of the creative activity, in a permanent back-and-forth between freedom and saturation, open to the Platonic division and the Platonic dialectic;
 
e) the mathematically demonstrable relation between what is multiple on a given level and what is singular on another, through a sophisticated lattice of mixed ascents and descents.
 
Lautman on the abstract world of mathematics and the sensible world of physics as both participating in the same dialectical structure.
I have _some_ reconciliation with Plato from a neurological POV … I should say cognitive science – but I’m working on bridging that further–

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