# Modelling the way mathematics is actually done

@article{Corneli2017ModellingTW, title={Modelling the way mathematics is actually done}, author={Joseph Corneli and Ursula Martin and Dave Murray-Rust and Alison Pease and Raymond S Puzio and Gabriela Asli Rino Nesin}, journal={Proceedings of the 5th ACM SIGPLAN International Workshop on Functional Art, Music, Modeling, and Design}, year={2017} }

Whereas formal mathematical theories are well studied, computers cannot yet adequately represent and reason about mathematical dialogues and other informal texts. To address this gap, we have developed a representation and reasoning strategy that draws on contemporary argumentation theory and classic AI techniques for representing and querying narratives and dialogues. In order to make the structures that these modelling tools produce accessible to computational reasoning, we encode…

## 7 Citations

### University of Dundee Argumentation Theory for Mathematical

- Philosophy
- 2019

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these…

### Argumentation Theory for Mathematical Argument

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It is argued that the framework introduced provides a more natural way to examine the process of proving theorems than do Lamport's structured proofs and might be used to support computational reasoning.

### Big Math and the One-Brain Barrier A Position Paper and Architecture Proposal

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This paper considers the philosophical tensions that Steingart uncovers, and uses them to argue that the best account of the epistemic status of the Classification Theorem will be essentially and ineliminably social.

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- 2020

The first question was first raised by Appel and Haken’s proof of the four color theorem [2], which in four hundred pages of regular proof text reduced the problem to approximately two thousand…

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Practice-based philosophy of mathematics. Traditional philosophy of mathematics considers mathematics to be the paradigmatic deductive science; its human practices and cultural variations are seen as…

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This opening chapter introduces the idea of social machines, and it is argued that producing a definition of social Machines would be counterproductive, such is the fluidity of the concept and its social and technical contexts.

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