Can Mathematics Inspire Linguistic Insights?

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An undergraduate linguistic student is seeking to explore mathematics as a language, motivated by a newfound appreciation for the subject through readings in philosophy and formal logic. Initially turned off by mathematics due to its perceived tediousness, the student is now eager to rebuild foundational knowledge up to calculus during a gap year before continuing college. They express a desire for accessible literature on mathematics that can enhance their understanding without requiring extensive technical knowledge. A recommendation is made for "What is Mathematics" by Courant, noted for being an engaging introduction to various mathematical concepts. The student aims to integrate this mathematical foundation with their studies in computational linguistics upon returning to university.
vikingofsixth
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Hello math forum,

I am an undergraduate linguistic student who has absolutely no foundations in mathematics due to a variety of factors during my earlier years. My studies in philosophy and especially linguistics has brought me back to mathematics in a wild search for something that seems hard to articulate.

I was turned away from mathematics because I believed it to be tedious computation. Personal reading of Russell has started to change my mind combined with studies in formal logic. All in all I am looking to explore math as a language hoping to find inspiration that could lead to further revelations in linguistics.

Due to personal move to another state I have a bit of gap year before I continue my college education and have plenty of time to explore new fields of knowledge. I am working to rebuild the basics of math up to calculus over the next several months but basic textbooks are very dry, though necessary, experiences.

I would love to read some actual literature on math that I might be able to digest without having a very technical knowledge yet. Anything from essays to actual books that could help influence my perception on math would be wonderful.

Thanks and enjoy the winter holidays!
 
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I plan on having a look on the recommendation! I would love to get more academically involved in computational linguistics once I get back into university. Until then I will be working to build a strong foundation in mathematics to complement my linguistic education.
 
By looking around, it seems like Dr. Hassani's books are great for studying "mathematical methods for the physicist/engineer." One is for the beginner physicist [Mathematical Methods: For Students of Physics and Related Fields] and the other is [Mathematical Physics: A Modern Introduction to Its Foundations] for the advanced undergraduate / grad student. I'm a sophomore undergrad and I have taken up the standard calculus sequence (~3sems) and ODEs. I want to self study ahead in mathematics...

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