I wrote a website post a several years back that discusses this in some element. You may want to skip the stuff originally regarding the historic context of Principia Mathematica Стол разделочный с рабочей поверхностью из нержавеющей стали Primes as being the "unit foundation vectors" Multiplication as "vector addition" Exponentiation https://bihlmayermedia-bilder.com/1-advent/