Hey, I was thinking about math (Which I do a lot), and I noticed a pattern: Applying -1 to any number through an operation changes it to the inverse of the operation it repeats: Adding -1 changes to _____________ inverse Multiplying by -1 changes to additive inverse Raising to the power of -1 changes to multiplicative inverse Raising to the hyper-power of -1 changes to exponential inverse Raising to the hyper-hyper-power of -1 changes to the hyper-exponential inverse The most basic operation is adding 1. Adding -1 inverts adding 1. Adding numbers is repeated additions of 1. Multiplying by -1 inverts it to it's additive inverse such that adding it simplifies it to it's additive identity, 0. Multiplying numbers is repeated additions of numbers. Raising to the -1 power inverts it to it's multiplicative inverse such that multiplying it simplifies to the multiplicative identity, 1. Exponents is repeated multiplying of numbers. Raising to the -1 hyper-power inverts it to it's (What I call) exponential inverse such that raising X to X^^-1 you would get the exponential identity, _________. And so on and so fourth. I apologize if it's difficult to understand (And it's probably impossible to understand the exponents part, because addition and multiplication have the commutative property, so I didn't know whether it would be x^(x^^-1) or (x^^-1)^x). I just wanted to show a pattern I saw, and I apologize if it is in the wrong section. Number patterns was the most similar thing I could find to this (Operational patterns). Does anyone know of some sort of theory about this? I'm usually pessimistic (Thus my name is a double entendre), so I doubt I discovered some new pattern...?