Why can't I write [1,2,3].reduce(Math.max) in Javascript? [duplicate]

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Possible Duplicate:开发者_如何学运维

How to use Math.max, etc. as higher-order functions

Using Mozilla's Javascript 1.6 array 'extension' functions (map, reduce, filter etc.), why is it that the following works as expected:

var max = [1,2,3].reduce(function(a,b) { return Math.max(a,b); });

But the following does not work (it produces NaN):

var max2 = [1,2,3].reduce(Math.max);

Is it because Math.max is a variadic function?

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Math.max does not know what to do with all the extra variables function(previousValue, currentValue, index, array) mainly that array at the end.

[].reduce.call([1,2,3,6],function(a,b) { return Math.max(a,b); });

This works and uses .call