Unicode non-letter functions/operators?

[gwhitney]

The recent remarkably rapid implementation of custom operator precedence (thanks again, my code looks much nicer now) is just encouraging the WishList Beast™. What about allowing otherwise unused Unicode non-letter characters (maybe there is some more restrictive Unicode category that would be appropriate) as 1-character function/operator names that then don't need whitespace for application:

function ∀(arr, pred = (x) => !!x) arr.every(pred)

N := [0,2,4,6,8]
if ∀N, &%2 is 0 then console.log 'We're all even!'
if ∀flags then console.log 'All systems go.'

operator × tighter (*) (v, w) // usual cross product of vectors
operator ⋅  looser (×) (v, w) // usual dot product
volume := u⋅v×w

etc, etc. The punctuation even happens to work out very naturally in the ∀ case. This facility would make writing math-y software super natural.