Thread: Algebra combined with Linguistics

Is there any connection between algebra and linguistics? I'm searching for such a topic to work on, as i am really interested in natural languages and mathematics. Or this field is more of a philosophical one? I'm not talking about linear logic or computational linguistics that are very popular. I'm talking about something more specific. In fact, I may not even know what i'm talking about! Any help will be appreciated!

There are a number of connections I can think of. There is logic, as you have already mentioned. Another connection is cryptography. Cryptography uses some fairly high-powered number theory, which in turn uses abstract algebra.

Another connection is grammars, context-free grammars, etc.

I am by no means an expert here. You might ask for emakarov's opinion as well. I bet he could weigh in on this question profitably.