Paul Gordan's theses were published in <A HREF="https://books.google.nl/books?id=9u09AAAAcAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false">De linea geodetica</A> and digitised by Google, from which I reproduce the relevant page:

<IMG SRC="https://ilorentz.org/beenakker/MO/Gordan.jpg"/>

Translation:

 - I. The method of <A HREF="https://en.wikipedia.org/wiki/Cournot_competition">functional division,</A> proposed by the respectable <A HREF="https://en.wikipedia.org/wiki/Antoine_Augustin_Cournot">Cournot</A> as an analytical and empirical method, appears unsuitable, since fully empirical functions do not exist <sub>or: since empirical functions are not completely known</sub>
 - II. The method of the infinitely-small is, I claim, no less
   precise than the method of limits. 
 - III. It is of greater interest to
   investigate the implicit properties of a function defined by a
   differential equation than to investigate in terms of which known
   functions it can be expressed. 
 - IV. The principles of Democritus
   remain to the present day as the foundation of the theory of atoms.