Geometry of Language
- URL: http://arxiv.org/abs/2303.05208v1
- Date: Thu, 9 Mar 2023 12:22:28 GMT
- Title: Geometry of Language
- Authors: Loe Feijs
- Abstract summary: We present a fresh perspective on language, combining ideas from various sources, but mixed in a new synthesis.
The question is whether we can formulate an elegant formalism, a universal grammar or a mechanism which explains significant aspects of the human faculty of language.
We describe such a mechanism, which differs from existing logical and grammatical approaches by its geometric nature.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this article, we present a fresh perspective on language, combining ideas
from various sources, but mixed in a new synthesis. As in the minimalist
program, the question is whether we can formulate an elegant formalism, a
universal grammar or a mechanism which explains significant aspects of the
human faculty of language, which in turn can be considered a natural
disposition for the evolution and deployment of the diverse human languages. We
describe such a mechanism, which differs from existing logical and grammatical
approaches by its geometric nature. Our main contribution is to explore the
assumption that sentence recognition takes place by forming chains of tokens
representing words, followed by matching these chains with pre-existing chains
representing grammatical word orders. The aligned chains of tokens give rise to
two- and three-dimensional complexes. The resulting model gives an alternative
presentation for subtle rules, traditionally formalized using categorial
grammar.
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