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Lecture held at the Jahresversammlung der Deutschen Mathematiker-Vereinigung zu Karlsruhe.

By in Agram.

That a similar process occurred by formulating the theory of relativity, as in geometry when the non-euclidean – specifically the – geometry came into light, was presumably anticipated by some. It is namely very remarkable that some authors mention the non-euclidean geometry when they interpret relativity theory, without ascribing any value to it for the description of natural phenomena. Some almost deny that it has any value in this respect, like who considers the non-euclidean geometries as a mere logical exercise without any physical meaning. And, after he has mentioned the numerous investigations concerning the foundations of geometry in his lecture "On the transformation of the notion of space and time in physics", continues: "It is now remarkable, that contrary to these findings found in a pure speculative way, the possibility of a new notion of space and time has broken its way from experimental physics by induction. However, it has no direct connections to non-euclidean geometry.