Research notes and theoretical explorations at the intersection of language, mathematics, and geometry. Each entry examines real phenomena through the lens of linguistic geometry.
An exploration of how continuous deformations in topological space can model syntactic transformations, revealing deep structural invariants in human language.
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Learn how to contribute →An exploration of how continuous deformations in topological space can model syntactic transformations, revealing deep structural invariants in human language.
How geometric principles govern the composition of meaning, from simple word vectors to complex conceptual spaces that model human understanding.
Exploring how word formation processes create navigable manifolds in linguistic space, with morphemes as fundamental building blocks of meaning.
Applying quantum mechanical principles to understand linguistic ambiguity, context-dependence, and the mysterious connections between distant parts of discourse.
A rigorous mathematical treatment of how metaphors create mappings between disparate conceptual domains, revealing the algebraic structure of human understanding.