 The French mathematician Henri Poincaré was among the first to articulate a conventionalist view.Poincaré's use of non-Euclidean geometries in his work on differential equations convinced him that Euclidean geometry should not be regarded as an "a priori" truth.He held that axioms in geometry should be chosen for the results they produce, not for their apparent coherence with – possibly flawed – human intuitions about the physical world.