This article introduces three of the twentieth century's main philosophies of mathematics and argues that of those three, one describes mathematical reality, the \reality&quo...
Abstract. Usually, mathematical objects have highly parallel interpretations. In this paper, we consider them as sequential constructors of other objects. In particular, we prove t...
Some mathematical objects can have more than one notation. When a system compiles mathematical material from multiple sources, a management effort to maintain uniform and appropri...
Shahid Manzoor, Paul Libbrecht, Carsten Ullrich, E...