BURDEN OF PROOF: PROCEDURAL UNDERSTANDING OF STANDARD OF PROOF

Burden of Proof

This paper presents an analysis of the concept of burden of proof in argument. Relationship of burden of proof to three traditional informal fallacies is considered: (i) argumentum ad hominem (ii) petitio principii and (iii) argumentum ad ignorantiam. Other topics discussed include persuasive dialogue, pragmatic reasoning, legal burden of proof, plausible reasoning in regulated disputes, rules ...

A simple proof of Zariski's Lemma

‎Our aim in this very short note is to show that the proof of the‎ ‎following well-known fundamental lemma of Zariski follows from an‎ ‎argument similar to the proof of the fact that the rational field‎ ‎$mathbb{Q}$ is not a finitely generated $mathbb{Z}$-algebra.

Understanding Proof: Tracking Experts’ Developing Understanding of an Unfamiliar Proof

In this study, we adopt the notion of dense connection in the understanding of mathematics, and trace the development of these connections over time as participants make sense of an unfamiliar proof. By representing participants’ verbalized sensemaking with a network of ideas and resources that changes over time, we can investigate what features of a mathematical proof play more or less central...

negative studies have a higher burden of proof

Another proof of Banaschewski's surjection theorem

We present a new proof of Banaschewski's theorem stating that the completion lift of a uniform surjection is a surjection. The new procedure allows to extend the fact (and, similarly, the related theorem on closed uniform sublocales of complete uniform frames) to quasi-uniformities ("not necessarily symmetric uniformities"). Further, we show how a (regular) Cauchy point on a closed uniform subl...