[2] From 1801 to 1804, Krug was professor of philosophy at Frankfurt (Oder), after which he succeeded Immanuel Kant in the chair of logic and metaphysics at the University of Königsberg.
In philosophy, Krug's method was psychological; he attempted to explain the Ego by examining the nature of its reflection upon the facts of consciousness.
[3] Krug challenged Schelling to deduce his quill or pen from German Idealism's Philosophy of Nature.
[6] Krug was a prolific writer on a great variety of subjects, excelling as a popularizer rather than as an original thinker.
His work stimulated freedom of thought in religion and politics,[3] and he was a firm supporter of Jewish emancipation.