ABSTRACT
This chapter provides an overview of the so-called metametaphysics associated with neo-Fregeanism in the philosophy of mathematics. As the name indicates, neo-Fregeanism – championed most prominently by Bob Hale and Crispin Wright – is inspired by ideas found in the work of Gottlob Frege. One characteristic of neo-Fregeanism is that it seeks to combine a version of platonism (there exist mind-independent mathematical objects) with a version of logicism (the ontologically committing mathematical truths are akin to truths of logic). The chapter discusses how platonism and logicism can be reasonably combined. It discusses both general issues, and how Hale and Wright’s stance is best understood. Another characteristic of neo-Fregeanism is its focus on abstraction principles, and the chapter discusses the role of such principles.
