Where Does Meaning Live in a Sentence? Category Theory Might Tell Us (www.quantamagazine.org)

Tai-Danae Bradley, a researcher at SandboxAQ and visiting professor at the Master’s University, is leveraging category theory to explore the mathematical structures of language. Initially hesitant about math, Bradley's perspective changed dramatically during her studies, leading her to apply this abstract mathematical framework to linguistics. By conceptualizing language through category theory, she aims to decode how meaning and grammar arise from word combinations, offering potential insights into the differences between AI-generated text and human language. This approach holds significant implications for the AI/ML community, as it suggests that fundamental mathematical relationships govern language processing. Bradley's use of category theory enables researchers to reframe language models in terms of enriched categories, quantifying the probability of word pairings and their meanings. Moreover, her recent work connecting entropy (a measure of information) to the topology of language categories presents exciting avenues for understanding linguistic structures and comparing them across different languages and LLM-generated text. This intersection of mathematics and linguistics could illuminate the underlying mechanisms of both human and artificial language processing, fostering further research in AI-driven linguistics.