Esprit de Géométrie vs. Esprit de Finesse

Pascal's sharpest distinction in the Pensées is between two modes of knowing that are genuinely different in kind and that require entirely different faculties. The esprit de géométrie—the geometric mind—reasons from clear, explicit, few principles by exact, demonstrative steps; it is the mind of mathematics, of logic, of formal proof, and Pascal possessed it as fully as any human being who ever lived. The esprit de finesse—the intuitive mind—grasps a great many subtle, fine, shifting principles all at once, arriving at a judgment it could not fully justify step by step; it is the mind required for navigation, for the assessment of persons, for the judgment of quality, for everything that resists reduction to explicit rules. Pascal's point was that these are not two ways of doing the same thing but two different faculties, that the greatest danger is to mistake one for the other, and that the intuitive grasp