Article

Synthese

, Volume 186, Issue 1, pp 371-386

First online:

And so on . . . : reasoning with infinite diagrams

  • Solomon FefermanAffiliated withDepartment of Mathematics, Stanford University Email author 

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Abstract

This paper presents examples of infinite diagrams (as well as infinite limits of finite diagrams) whose use is more or less essential for understanding and accepting various proofs in higher mathematics. The significance of these is discussed with respect to the thesis that every proof can be formalized, and a “pre” form of this thesis that every proof can be presented in everyday statements-only form.

Keywords

Diagrammatic reasoning Infinite diagrams Formalizability thesis