Nijmegen school of intuitionism

The Nijmegen School of Intuitionism, originating at Radboud University in the Netherlands, emphasizes the role of intuitive insight in mathematical knowledge. It argues that some mathematical truths are discovered through direct, immediate understanding—an innate or spontaneous insight—rather than solely through formal logical deduction. This approach highlights the importance of human intuition in guiding mathematical discovery, blending philosophical perspectives with mathematical practice. It challenges strict formalism by suggesting that our intuition plays a fundamental role in grasping complex mathematical concepts, supporting a view that mathematics is partly a creative and perceptual human activity.