On the Design of Mathematical Concepts [chapter]

Manfred Kerber, Martin Pollet
2002 Lecture Notes in Computer Science  
That foundational systems like first-order logic or set theory can be used to construct large parts of existing mathematics and formal reasoning is one of the deep mathematical insights. Unfortunately it has been used in the field of automated theorem proving as an argument to disregard the need for a diverse variety of representations. While design issues play a major rôle in the formation of mathematical concepts, the theorem proving community has largely neglected them. In this paper we
more » ... that this leads not only to problems at the human computer interaction end, but that it causes severe problems at the core of the systems, namely at their representation and reasoning capabilities.
doi:10.1007/3-540-36187-1_65 fatcat:6eayoplgzzdvbaei2yn2fye6re