 Philosophical motivations are strongly influential in contemporary logical investigation of paradoxes and hence it is natural to wonder what is surviving of the initial Fregean theory of concepts, as based upon an inconsistent principle of abstraction and the logicistic outlook. Well, the answer is that a non-trivial legacy is still alive: this is especially clear from the Neo-Fregean approach based on Hume’s principle and variations thereof. Consistent subsystems of Frege’s Grundgesetze have been isolated and are currently studied: see Burgess 2005, also for a comprehensive reference list to preceding work by Boolos, Wright and Hale, Heck, Wehmeier, Ferreira, Antonelli and May (see the essays contained in Reck and Cook 2016, and also the entry  logicism and neologicism). In  addition, work in the Neo-Fregean tradition has shown that the inconsistency of the principle of extensional abstraction (Basic Law V) in Grundgesetze is only an instance of a more general result on the inconsistency in second order logic (extended with a symbol for a function f from concepts to objects) of any abstraction principles that satisfy a condition called “part-whole”: if A is strictly included in B then f(A)≠f(B) (see Mancosu and Siskind 2019).