Many mathematics philosophers have used mathematics history to determine the nature of mathematics. For instance, Lakatos (1976/1999) used a historical case study to attempt to show that mathematics is a process rather than a product, and that it is indeed a fallible process. Some mathematics philosophers define math as the study of certain social-historic-cultural objects, thereby explicitly weaving history into their philosophy (Fauvel, 1991; Hersh, 1997). Hersh (1997) goes further, remarking that an adequate view of the nature of mathematics must be cognizant of and compatible with the history of mathematics.