Under the influence of Henri Poincaré and Wittgenstein, Rougier developed a philosophy based on the idea that systems of logic are neither apodictic (i.e., necessarily true and therefore deducible) nor assertoric (i.e., not necessarily true and whose truth must therefore be induced through empirical investigation.)
This view, which implies that there are no "objective," a priori truths that exist independently of the human mind, closely resembled the logical positivism of the Vienna Circle.