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The '''additive inverse''' of a [[complex number|complex]] or [[real number|real]] number x is the number y such that x and y add to equal the [[additive identity]], the number 0. The additive inverse is a function defined for all complex numbers, and is [[cyclical function|cyclical]] with period 2. However, for this function to exist, one must first accept the existence of the [[negative numbers]]. This was a large impedent to early mathematics.

The '''additive inverse''' of a [[complex number|complex]] or [[real number|real]] number x is the number y such that x and y add to equal the [[additive identity of addition|additive identity]], the number [[zero]]. The additive inverse is a [[function]] defined for all complex numbers, and is [[cyclical function|cyclical]] with period 2 ([[idempotent]]). However, for this function to exist, one must first accept the existence of the [[integer|negative numbers]]. This was a large impedence to early [[mathematics]], because early people had difficulty imagining something less than nothing.