This book examines three connected aspects of Frege’s logicism: the differences between Dedekind’s and Frege’s interpretation of the term ‘logic’ and related terms and reflects on Frege’s notion of function, comparing its understanding and the role it played in Frege’s and Lagrange’s foundational programs. It concludes with an examination of the notion of arbitrary function, taking into account Frege’s, Ramsey’s and Russell’s view on the subject. Composed of three chapters, this book sheds light on important aspects of Dedekind’s and Frege’s logicisms.

Fifty years ago, François Jacob, André Lwoff, and Jacques Monod received the Nobel Prize in physiology or medicine “for their discoveries concerning the genetic control of enzyme and virus synthesis”. This distinction was awarded in recognition of an exceptional series of discoveries and theoretical achievements: existence, induction and genetics of lysogeny, notions and evidence of repressor, regulatory genes, messenger RNA, operon, operator and promoter sequences, and allostery.