# Talking Space: inference from spatial linguistic meanings

@article{WangMascianica2021TalkingSI, title={Talking Space: inference from spatial linguistic meanings}, author={Vincent Wang-Mascianica and Bob Coecke}, journal={ArXiv}, year={2021}, volume={abs/2109.06554} }

This paper concerns the intersection of natural language and the physical space around us in which we live, that we observe and/or imagine things within. Many important features of language have spatial connotations, for example, many prepositions (like in, next to, after, on, etc.) are fundamentally spatial. Space is also a key factor of the meanings of many words/phrases/sentences/text, and space is a, if not the key, context for referencing (e.g. pointing) and embodiment. We propose a… Expand

#### One Citation

Compositionality as we see it, everywhere around us

- Computer Science, Mathematics
- ArXiv
- 2021

Inspired by work on compositionality in quantum theory, and categorical quantum mechanics in particular, the notions of Schrödinger, Whitehead, and complete compositionality are proposed, which aim to capture the fact that compositionality is at its best when it is ‘real’, ‘non-trivial’ and even more when it also is “complete’. Expand

#### References

SHOWING 1-10 OF 52 REFERENCES

A generative probabilistic framework for learning spatial language

- Computer Science
- 2013 IEEE Third Joint International Conference on Development and Learning and Epigenetic Robotics (ICDL)
- 2013

This work develops a probabilistic model that learns to understand utterances that describe spatial configurations of objects in a tabletop scene by seeking the meaning that best explains the sentence chosen, and recovers the referent of spatial utterances at a level of proficiency approaching human performance. Expand

The Geometry of Meaning: Semantics Based on Conceptual Spaces

- Mathematics
- 2014

In The Geometry of Meaning, Peter Gardenfors proposes a theory of semantics that bridges cognitive science and linguistics and shows how theories of cognitive processes, in particular concept… Expand

Metaphors We Live by

- Psychology
- 1983

Every linguist dreams of the day when the intricate variety of human language will be a commonplace, widely understood in our own and other cultures; when we can unlock the secrets of human thought… Expand

The Mathematics of Text Structure

- Computer Science, Mathematics
- ArXiv
- 2019

Both the compositional formalism and suggested meaning model are highly quantum-inspired, and implementation on a quantum computer would come with a range of benefits. Expand

Interacting Conceptual Spaces I : Grammatical Composition of Concepts

- Computer Science, Mathematics
- Conceptual Spaces: Elaborations and Applications
- 2019

This work introduces the category of convex relations as a new setting for categorical compositional semantics, emphasizing the convex structure important to conceptual space applications, and shows how to construct conceptual spaces for various types such as nouns, adjectives and verbs. Expand

Meaning updating of density matrices

- Physics, Computer Science
- FLAP
- 2020

This work underpins implementation of text-level natural language processing on quantum hardware (a.k.a. QNLP), for which exponential space-gain and quadratic speed-up have previously been identified. Expand

Mathematical Foundations for a Compositional Distributional Model of Meaning

- Mathematics, Computer Science
- ArXiv
- 2010

A mathematical framework for a unification of the distributional theory of meaning in terms of vector space models and a compositional theory for grammatical types, for which the type reductions of Pregroups are lifted to morphisms in a category, a procedure that transforms meanings of constituents into a meaning of the (well-typed) whole. Expand

A Compositional Distributional Model of Meaning

- 2008

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, namely Lambek’s… Expand

Conceptual Spaces — The Geometry of Thought

nightmare—small changes in the intended semantics of predicates or procedures cause large and usually catastrophic changes in performance. There have been, I think, two responses to this. One is owed… Expand

The Geometry Of Preposition Meanings

- Philosophy
- 2015

This article presents a unified approach to the semantics of prepositions based on the theory of conceptual spaces. Following the themes of my recent book The Geometry of Meaning, I focus on the… Expand