Abstract

On the productive-operative approach to the foundations of geometry in protophysics. Attempts to establish a foundation to elementary geometry as a theory of spatial figures in Protophysics are surveyed in Section 1. An idea suggested by H. Dingler was to extract the basic properties of the geometrical primitive notions from descriptions of the operations performed in the ‘first’ production of the corresponding objects. P. Janich presents this ‘productive-operative’ approach as a succesful methodical alternative to the ‘geometry of forms’ of R. Inhetveen and P. Lorenzen (Section 2). However, in his work not even one fundamental task seems to be achieved in a satisfactory manner. The article evaluates Janich’s contributions (Section 3) and discusses the shortcomings of his approach (Section 4). In this process a ‘functional-operative’ alternative emerges (Section 5)