Virtual Mathematics: The Logic of Difference

Alain Badiou Albert Lautman algebraic analysis analytic argues arithmetic axiomatics axioms Bachelard Badiou Brouwer category theory Cavaillès characterised Châtelet choice sequence composite function concept construction continuous continuum curve defined Deleuze and Guattari Deleuze's philosophy determined dialectical differential calculus differential geometry differential point differential relation digits discontinuity domain elements entities epistemology Euclidean example existence finite fleeing property formal formalisation Foucault geometry Gibbs phenomenon Gilles given history of mathematics idea infinite infinitesimal calculus intuition intuitionism intuitionist Kant Lanczos sigma factors Lautman Leibniz little style logic manifold mathe mathematical problematics mathematician matics metaphor metaphysics multiplicity neighbourhood notion object ontological operations Pauli phase space philosophy of mathematics physical Plato Poincaré possible potential function power series priori problem quantum question refers Riemann Riemannian role sense singular points smooth space solution specific structure surd theorematic theorems thought tion topology traditional trajectories transcendental understanding variable Weierstrass Weyl