49 citations · 95 across the 11 of their papers we have counts for
9 papers · 1 filter
Argumentation in Mathematical Practice
Andrew Aberdein, Zoe Ashton
Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical pr…
Nelson's Logical Diagrams
Andrew Aberdein
As is now well known, the generalization of the square of opposition to a hexagon was discovered independently by three philosophers in the early 1950s: Paul Jacoby, Augustin Sesma…
Deep Disagreement in Mathematics
Andrew Aberdein
Disagreements that resist rational resolution, often termed ``deep disagreements'', have been the focus of much work in epistemology and informal logic. In this paper, I argue that…
Dialogue Types, Argumentation Schemes, and Mathematical Practice: Douglas Walton and Mathematics
Andrew Aberdein
Douglas Walton's multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovatio…
Evidence, Proofs, and Derivations
Andrew Aberdein
The traditional view of evidence in mathematics is that evidence is just proof and proof is just derivation. There are good reasons for thinking that this view should be rejected:…
Mathematical Monsters
Andrew Aberdein
Monsters lurk within mathematical as well as literary haunts. I propose to trace some pathways between these two monstrous habitats. I start from Jeffrey Jerome Cohen's influential…