He developed a philosophy of dialogue, in connection with the pragmatic theory of action of the Erlangen constructivist school.
After studying mathematics and physics in Tübingen, Hamburg, Bonn and Princeton, Lorenz earned his Ph.D. in 1961 under Paul Lorenzen in Kiel with a thesis about Arithmetic and Logic as Games.
In 1970 he was offered the chair of philosophy at the University of Hamburg to succeed Carl Friedrich von Weizsäcker.
This is a linguistically more congenial approach to logic, which is more suitable as a model for argumentation than the formal derivation in a calculus or truth tables.
In addition, the pragmatism of Charles Sanders Peirce and the historicism of Wilhelm Dilthey are complementary juxtaposed.