is one of the cultural difference between a computer-first logical mindset contrasted with the mathematics-first mindset
the mathematics first mentality does not properly recognize the importance and the difficulty of having good names for things, whereas the computological view recognizes both: the importance and the difficulty
so far it's a close race between philosophers and mathematicians. I'll take your comment as a vote in favor of mathematicians
so while written philosophy is verbose, philosophers talking can "transfer" a lot of "meaning" with short sentence
whereas mathematicians will likely need to talk for a very long time for what they can write down in a short terse equation
Of tangential interest: I recently heard that Faraday, while discovering new electromagnetic phenomenon, then turned to either a linguist or classicist for help in assigning/inventing terms for them. (I cannot find a link for this just now, so consider this heresay.)
another cultural difference is the kind of homework they hand out; the difference boils down to whether you hand over a printed (or printable) proof checked by reading through it, or a runnable program or script checked by running it