2 citations · 2 across the 4 of their papers we have counts for
5 papers
Noncommutative geometry and physics
Jean Petitot
This is a compilation of some well known propositions of Alain Connes concerning the use of noncommutative geometry in mathematical physics.
Singularity theory and heat equation
Jean Petitot
The paper (in French) exemplifies graphically a solution of the heat equation which is a 1-dimensional unfolding of an elliptic umbilic catastrophe. The example is due to James Dam…
A transcendental view on the continuum: Woodin's conditional platonism
Jean Petitot
One of the main difficulty concerning the nature of the continuum is to do justice, inside the set theoretical Cantorian framework, to the classical conception (from Aristotle to T…
Le problème intensionnel de la quantification chez Hilbert (The intensional problem of quantification in Hilbert)
Jean Petitot
The paper (in French) presents a survey of Hilbert's Epsilon operator focusing on the intensional aspects of its semantics. It comments on some epistemological problems, from Alber…
Complexity and self-organization in Turing
Jean Petitot
We comment on Alan Turing's celebrated paper "The Chemical Basis of Morphogenesis" published in 1952 in the "Philosophical Transactions of the Royal Society of London". It is a typ…