The book "Intuition and the Axiomatic Method" offers an in-depth analysis of the role of intuition in modern science, particularly in mathematics and physics. It highlights the views of prominent thinkers such as Hilbert, Gödel, Poincaré, Weyl, and Bohr, who, despite advancements in formal logic and the axiomatic method, emphasized the importance of intuition for the scientific foundation. These thinkers, influenced by Kant's theories, argue that formal tools are insufficient to fully grasp the foundations of science. The book explores Kant's own approaches as well as various perspectives on intuition and the axiomatic method to understand their strengths and weaknesses. It addresses both logical and non-logical, historical and systematic questions in mathematics and physics, thus providing a comprehensive insight into the complex relationships between these disciplines.