| Popis: |
It might be folly to insist on one overall official characterization of the way scientific and mathematical theories ought to be presented. They are usually presented of course in various ways so that the authors and scholars in a field can find optimal means for communication with others, whether within or outside that field. Nevertheless, if theories were thought of as representations of our knowledge, then one way of looking at the representation of theories is to ask, as Hermann Weyl did (2009) “What is the ultimate purpose of forming theories?”, and he then cited the familiar proposal of Heinrich Hertz (1894):This powerful and compact statement of Hertz, resonated with David Hilbert’s revolutionary proposal for the axiomatic representation of theories. The kind of axiomatization Hilbert advocated was exemplified in his Foundations of Geometry, [1899], and was to become the model for his inquiries into the physical sciences as well as mathematical ones. |
