# An alternative Gospel of structure: order, composition, processes

arXiv: https://arxiv.org/abs/1307.4038 · HTML: https://mlsanity.com/paper/1307.4038/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Jul 2013.

## Built on by (most cited first, 4 of 4)

- [Grammar Equations](https://mlsanity.com/paper/2106.07485/) (2021)
- [How to make qubits speak](https://mlsanity.com/paper/2107.06776/) (2021)
- [Reasoning about conscious experience with axiomatic and graphical mathematics](https://mlsanity.com/paper/2106.16061/) (2021)
- [SQL2Circuits: Estimating Cardinalities, Execution Times, and Costs for SQL Queries with Quantum Natural Language Processing](https://mlsanity.com/paper/2306.08529/) (2023)

## Abstract (arXiv)

We survey some basic mathematical structures, which arguably are more primitive than the structures taught at school. These structures are orders, with or without composition, and (symmetric) monoidal categories. We list several `real life' incarnations of each of these. This paper also serves as an introduction to these structures and their current and potentially future uses in linguistics, physics and knowledge representation.