This comes from a little brainstorming. Please note that when I say multiplication it may also mean division (they are basically the same concept.) and the same goes for addition and exponentiation (they can ll be used the same just by making a few things negative). Higher Order Operators Why don't we have them? We have basic addition. You might say multiplication is how many times to add a number to itself (minus the first of course). You might say raising a number to a power is how many times to multiply a number by itself (minus the first, you know what i mean). So, why don't we have another operator called potato that describes how many times to raise a number to itself? And why not an operator called ham which describes how many times to potato a number by itself? In fact, why don't I take this idea a bit further and say why not make operators themselves parts of functions? Why not have operators be defined by number describing their order in the spectrum of operators? Does it not seem logical that addition might be described as a level 1 operator, multiplication as a level 2, exponents as level 3, potato as level 4, ham as level 5? With that, subtraction (negative addition) would be level -1, division (inverse multiplication) would be level -2, roots (negative exponentiation) would be level -3, and so on. Its something I have been thinking about for a short amount of time, but I haven't had any problems with it. I thought of most of this in physics class, when we had to use calculations that I found very inefficient. I will bring those up when I remember. Tell me what you think!