“Everything is a function” in Haskell?

There a belief about Haskell that keeps popping up in chat rooms and mailing lists — one that I’ve been puzzling over for a while. One expression of the belief is “everything is a function” in Haskell.

Of course, there are all of these non-functions that need to be accounted for, including integers, booleans, tuples, and lists. What about them? A recurring answer is that such things are “functions of no arguments” or functions of a one-element type or “constant functions”.

I wonder about how beliefs form, spread, and solidify, and so I asked around about how people came to this notion and how they managed to hold onto it. I had a few conjectures in mind, which I kept to myself to avoid biasing people’s responses. Of the responses I got, some were as I’d imagined, and some were quite surprising to me, revealing some of my blind spots about others’ thinking and about conversation dynamics.

My thanks to the many Haskellers, especially newbies, who took the time to help me understand their thought processes. If you’re interested and in a patient mood, you can see the unedited responses on a Haskell reddit thread and on a #haskell IRC log. There were also a few responses on Twitter.

Edits:

  • 2009-08-04: Added “simplify”: “Would making everything a function really simplify the formal system that is Haskell programming?”. Thanks, SLi.
  • 2009-08-04: Focus on “constant function” story for “It makes things simpler”. I realized that I hadn’t said what I intended there. Thanks, Jonathan Cast.
  • 2011-03-04: Remarks on mutability & dynamic typing, under “Operational thinking”

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