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Point-free style is a way of defining functions with a very simple constraint: you cannot name arguments or intermediate values. How can you possibly do that? Well, with higher-order functions, of course. For instance, with function composition, you can define a new function without naming the arguments. Some languages, like the APL family, or Haskell, let you do this very easily.
An off-the-cuff stream of Functional Programming ideas, skills, patterns, and news from Functional Programming expert Eric Normand of LispCast. Formerly known as Thoughts on Functional Programming.