Thank you very much for the clarification regarding the evolution of the distinction between analytic and synthetic, especially how the term "analytic" was conflated with "algebraic" by Viète. Since we previously touched on cognition in this discussion (Abdiel Mars's example), I was motivated to ask four Large Language Models (Gemini, ChatGPT, Copilot, and Claude) the following question:
How to apply bouba–kiki effect to analytic vs synthetic mathematics: https://ncatlab.org/nlab/show/analytic+versus+synthetic
In every case, the answer was the same: Kiki = Analytic; Bouba = Synthetic. Reference to bouba–kiki effect:
Ćwiek A et al. 2021 The bouba/kiki effect is robust across cultures and writing systems. Phil. Trans. R. Soc. B 377: 20200390. https://doi.org/10.1098/rstb.2020.0390
Perhaps there is a correlation between an individual's cognitive preferences regarding the bouba–kiki effect and their preference for analytic versus synthetic mathematics. I am not sure, but I find this experiment interesting because four large language models reached a consensus on what appears, in principle, to be a nonsensical question. Kind regards, JMRC