How to teach my students to appreciate all fields of study? I'm sorry if this is the wrong place to ask this but I don't know any other place to ask.

I'm a research professor, but I enjoy teaching and put a lot of time into my classes. I mainly teach introductory calculus and physics to mainly engineering students. One of the things I've noticed while talking to students is their hate and animosity towards the liberal arts.

I asked for some of my students reasoning and a lot of it was that History, English, Classics, etc. did not follow the "laws of logic and reasoning." There are other examples, but I those are the ones the most common, along with "it's not applicable to life."

I just want my students to learn that living in a bubble academically is not good for your knowledge, and the Colleges and Universities are there to help create educated individuals.
I think a well-known rule of writing applies here: Show, don't tell, in the same way it applies to parenting.  If you want to help change your students' feelings, you need to show them your love for the liberal arts.  

One thing you can do is pepper your courses with relevant analogies, stories and quotes from literature, history and philosophy.  For instance, a discussion of Zeno's paradoxes and maybe some things about the ancient Greeks when discussing limits in calculus.  Or some historical context for Newton.  I don't have any good contextual literature examples at the tip of my typing appendages (maybe something in Lewis Carroll?), but it's easy to preface new topics with semi-relevant quotes such as

 The sense of danger must not disappear: 
 The way is certainly both short and steep,
 However gradual it looks from here; 
 Look if you like, but you will have to leap.
 -- W.H. Auden


Even just displaying some of your favorite pieces of literature in your office can be good.  This has led to a few literature discussions with students for me, and discussing literature with students who are interested in front of students who aren't can help convince the latter literature is interesting.

Of course, you won't be able to suddenly convince everyone that they need to run out and read Herodotus in the original Greek to figure out what history class they should take next semester, but you can make some impact for some students this way.  

Incidentally, I personally hated having to take the GenEd requirements when I was in college, because there were loads of Math/Science courses I wanted to take.  But then when I went to grad school, I wasn't in such a rush, and I read a lot of classics.  So many of the students may not be at the right stage of life to appreciate everything.  (Also being forced to do something generally makes it harder to enjoy it---in science or liberal arts.)