Hello, The thesis I'm working on is as follows: 1 / There is no change in the way of thinking since man lives in a group. 2 / To prove it, it is necessary to define what are the “thought patterns” of any Subject. 3 / The theory of categories can serve as a universal language model making it possible to identify these different patterns of thinking. 4 / This makes it possible to differentiate 3 levels of reflection, leading to
The logic and elementary topos of Lawvere,
A "topological approach", initiated by Évariste Galois and leading to Grothendieck's topos,
A 3rd level where equivalences or "bridges" are established.
5 / This general scheme would make it possible to consider a "unitary" theory in physics. I leave on my blog the traces of my own evolution in this program. I try as I can, to discuss this subject within the Categorical Logic group led by Anatole Khelif at Paris Diderot. Not being a mathematician at all, I try to find relays to improve my approach. For a short summary of this approach :
- En Français
- In English