Let's clear up some misconceptions that beginners might make.

You may have encountered functions such as:

```
max :: (Ord a) => a -> a -> a
max m n
| m >= n = m
| otherwise = n
```

Beginners will typically view `max :: (Ord a) => a -> a -> a`

as function that takes two arguments (values) of type `a`

and returns a value of type `a`

. However, what is really happening, is that `max`

is **taking one argument** of type `a`

and **returning a function** of type `a -> a`

. This function then takes an argument of type `a`

and returns a final value of type `a`

.

Indeed, `max`

can be written as `max :: (Ord a) => a -> (a -> a)`

Consider the type signature of `max`

:

```
Prelude> :t max
max :: Ord a => a -> a -> a
Prelude> :t (max 75)
(max 75) :: (Num a, Ord a) => a -> a
Prelude> :t (max "Fury Road")
(max "Fury Road") :: [Char] -> [Char]
Prelude> :t (max "Fury Road" "Furiosa")
(max "Fury Road" "Furiosa") :: [Char]
```

`max 75`

and `max "Fury Road"`

may not *look* like functions, but in actuality, they are.

The confusion stems from the fact that in mathematics and many, other, common programming languages, we are allowed to have functions that take multiple arguments. However, in Haskell, **functions can only take one argument** and they can return either values such as `a`

, or functions such as `a -> a`

.