# A Note on Argumentative Topology: Circularity and Syllogisms as Unsolved Problems

arXiv: https://arxiv.org/abs/2102.03874 · HTML: https://mlsanity.com/paper/2102.03874/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 4 of its 13 references that are in the map.
- First posted on arXiv 7 Feb 2021.

## Builds on (most cited first, 4 of 4)

- [Distributed Representations of Words and Phrases and their Compositionality](https://mlsanity.com/paper/1310.4546/) (2013)
- [Argumentative Topology: Finding Loop(holes) in Logic](https://mlsanity.com/paper/2011.08952/) (2020)
- [A Novel Method of Extracting Topological Features from Word Embeddings](https://mlsanity.com/paper/2003.13074/) (2020)
- [Topological Data Analysis in Text Classification: Extracting Features with Additive Information](https://mlsanity.com/paper/2003.13138/) (2020)

## Built on by (most cited first, 1 of 1)

- [Topological Data Analysis Applications in Natural Language Processing: A Survey](https://mlsanity.com/paper/2411.10298/) (2024)

## Abstract (arXiv)

In the last couple of years there were a few attempts to apply topological data analysis to text, and in particular to natural language inference. A recent work by Tymochko et al. suggests the possibility of capturing `the notion of logical shape in text,' using `topological delay embeddings,' a technique derived from dynamical systems, applied to word embeddings. In this note we reconstruct their argument and show, using several old and new examples, that the problem of connecting logic, topology and text is still very much unsolved. We conclude that there is no clear answer to the question: ``Can we find a circle in a circular argument?'' We point out some possible avenues of exploration. The code used in our experiment is also shown.