In this paper, I assume, perhaps controversially, that translation into a language of formal logic is not the method by which mathematicians assess mathematical reasoning.Expand

Although the Toulmin model (1958) has dominated argumentation research, it does not provide many tools for evaluating argument quality. Towards that end, we draw on work in philosophy on argument… Expand

In some visual cases, especially those in which one reasons from a visual model to a conclusion, it is tempting to think that some new normative base, perhaps a visual logic is in order. I show that,… Expand

Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation… Expand

Although historically diagrams have played an influential role in the development of mathematics, for the last hundred years or so, diagrams have been knocked out of their previously important… Expand

The paper develops a classificatory system of basic argument types on the basis of the epis- temological approach to argumentation. This approach has provided strict rules for several kinds of argu-… Expand